To the 90th anniversary of V. Rvachev, Academician of the NAS of Ukraine
Sheyko T.I.; Kurpa L.V.; Bezdetko O.О.; Osetrov А.O.;
About authors
Sheyko Tatyana Ivanivna – Doctor of Technical Sciences, Full Professor, Chief Researcher, the A. Podgorny Institute for Mechanical Engineering Problems (IPMach) NAS of Ukraine, Kharkiv, tel.: (057) 294-27-74, e-mail: sheyko@ipmach.kharkov.ua;Kurpa Lidiya Vasylivna – Doctor of Technical Sciences, Full Professor, Head of the Department of Applied Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, tel.: (057) 707-60-32, e-mail: kurpa@kpi.kharkov.ua;Bezdetko Olena Olegivna – engineer of the 1-st category, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, tel.: (057) 707-60-32, e-mail: bezdetko@kpi.kharkov.ua;Osetrov Andriy Olexandrovich – Candidate of Technical Sciences (Ph. D.), Senior Lecturer, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, tel.: (057) 707-60-32, e-mail: andy.osetrov@gmail.com
Abstract and Keywords
The article is devoted to the 90th anniversary of the birth of the outstanding Ukrainian scientist in the field of mathematics, mechanics and cybernetics, Academician of NAS of Ukraine Vladimir L. Rvachev. The article describes the life and creative path of V. Rvachev. The main scientific results of V. Rvachev, that allowed a significant breakthrough in the field of analytical identification of geometric objects and solving boundary value problems of mathematical physics, are discussed. Some statements and quotes of V. Rvachev, taken from his diaries, are listed. A brief description of the results obtained by V. Rvachev during his last years, related to the construction of non-Archimedean calculus and their possible applications in the physics of deep space, is given. A list of the main publications of V. Rvachev is also provided.
Keywords: academician V. Rvachev, 90th anniversary, R-functions theory, biography
References
Please cite this article as
Sheyko T.I., Kurpa L.V., Bezdetko O.О., Osetrov А.O. To the 90th anniversary of V. Rvachev, Academician of the NAS of Ukraine. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 7-26.
Centenary of Professor Lev Izrailevich Shteinvolf
Andreev Ju.M.; Drujinin E.I.; Larin A.A.;
About authors
Andreev Yurii Mihailovich – Doctor of Technical Sciences, Professor, Department of control systems and processes, National Technical University “Kharkiv Polytechnic Institute”, tel.: 057)-70-76-454, e-mail: andrjejev@gmail.com;Drujinin Evgenii Ivanovich – Ph.D., Associate Professor, Department of Theoretical Mechanics, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-76-373, e-mail: druzhinin_e_i@ukr.net;Larin Andrei Alekseevich – Ph.D., Associate Professor, Department of History of Science and Technology, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-76-503, e-mail: larinpokotilovka@mail.ru
Abstract and Keywords
April 23, 2016 marks the 100th anniversary of the birth of Lev I. Shteinvolf – who was a well-known scientist in the field of mechanics, a doctor of technical sciences, and a professor of theoretical mechanics at Kharkiv Polytechnic Institute. His contributions to the development of computer algebra systems in the field of mechanics, and the introduction of such methods in scientific, practical, and educational activities were invaluable. Noteworthy is his creation of the theoretical foundations and practical implementation of a fundamentally new software in the field of machine dynamics calculations: the KiDiM computer algebra system. The article contains biographical data, and the results of the research and teaching of Professor Shteinvolf and his disciples. Graduates over many generation have forever preserved the memory of this remarkable scientist and educator.
Keywords: theoretical mechanics, theory of vibrations, machine dynamics, computer algebra system, diesel tank and propulsion systems, vibration diagnostics
References
1. Arhiv NTU «HPI» Delo 12973 Shteinvol’f Lev Izrailevich. Otdel kadrov HPI. Nachato 01.01.1950 g. Okoncheno 03.07.1991 g. 82 p. 2. Larin A. A. Jiznennyi i tvorcheskii put’ professora Yuriya Arkad’evicha Goppa. Omskii nauchnyi vestnik. 2013, No 2 (120), pp. 40-44 3. Shteinvol’f L. I. Issledo-vanie mayatnikovogo dempfera krutil’nyh kolebanii kolenchatyh valov dvigatelei. : dis. … kand. tehn. nauk. Kharkiv, 1947. 213 p. 4. Besov L. M., Larin A.A., Morachkovskii O.K. Klassik otechestvennoi mehaniki Ivan Mihailovich Babakov. Іstorіya Ukraїns’koї nauki na mejі tisyacholіt’, 2007, vol. 28, pp. 35-42. 5. Shteinvol’f L. I. Dinamika mehanicheskih peredach silovyh usta-novok teplovozov : dis. … dokt. tehn. nauk. Kharkiv, 1966, 655 p. 6. Larin A. A. Issledovaniya kolebanii teplovoznyh silovyh ustanovok v Har’kovskom politehnicheskom institute v 1960-e gg. Mehanіka ta mashinobuduvannya, 2009, vol. 2, pp. 158-167. 7. Balishev M. A., Larіn A.O. Naukovii dorobok profesora L’va Shteinvol’fa (oglyad novih nadhodjen’ CDNTA Ukraїni). Arhіvi Ukraїni. Kyyiv: 2013. vol. 3 (285), p. 138-144. 8. Shteinvol’f L. I. Ob algoritmah rascheta svobodnyh krutil’nyh kolebanii na ECVM. Dinamika i prochnost’ mashin, 1967, vol. 6, pp. 106-109. 9. Shteinvol’f L. I., Karaban V.N. O raschetah vy-nujdennyh krutil’nyh kolebanii na ECVM. Dinamika i prochnost’ mashin, 1969, vol. 10, pp. 80-84. 10. Mitin V. N., Shteinvol’f L.I. Strukturnye matricy cepnyh vibracionnyh sistem. Dinamika i prochnost’ mashin, 1973, vol. 17, pp. 3-7. 11. Mitin V. N., Shteinvol’f L.I. Struktury diskretnyh mehanicheskih modelei konstrukcii. Dinamika i prochnost’ mashin, 1982, vol. 35, pp. 3-6. 12. Karaban V. N., Shatohin V.M., Shteinvol’f L.I. K voprosu primeneniya iteracionnogo metoda dlya raschetov kolebanii suschestvenno nelineinyh sistem. Dinamika i prochnost’ mashin, 1981, vol. 33, pp. 54-63. 13. Karaban V. N., Shatohin V.M., Shteinvol’f L.I. Issledovanie vynujdennyh kolebanii v privodah mehanizmov ciklovogo deistviya. Teoriya mehanizmov i mas-hin, 1983, vol. 34, pp. 61-66. 14. Dragun S. V., Karaban V.N., Shteinvol’f L.I. Optimizaciya modelei silovyh peredach v dinamicheskih raschetah. Problemy mashinostroeniya, 1982, vol. 17, pp. 66-70. 15. Shteinvol’f L. I. Optimal’nyi sintez konstruktivnyh parametrov uprugih soedinenii. Teoriya mashin i mehanizmov, 1974, vol. 17, pp. 102-107. 16. Andreev Yu. M., Shteinvol’f L. I. Sintez nelineinyh vibracionnyh sistem po skeletnym krivym s ispol’zovaniem teorii chuvstvitel’nosti. Dinamika i prochnost’ mashin, 1984, vol. 40, pp. 50-56. 17. Drujinin E. I., Shteinvol’f L. I. Opredelenie dempfiruyuschih harakteristik aksial’-no-plunjernyh gidroob’emnyh mashin. Teoriya mehanizmov i mashin, 1984, vol. 37, pp. 25-31. 18. Drujinіn E. І., Andreev Yu. M. Zastosuvannya sistemi komp’yuternoї algebri dlya mode-lyuvannya dinamіki gіdromehanіchnih silovih peredach transportnih zasobіv. Ukraїns’kii mіjvіdomchii naukovo-tehnіchnii zbіrnik. Avtomatizacіya virobnichnih procesіv u mashinobuduvannі ta priladobuduvannі. L’vіv, 2011, vol.45, pp. 75-80. 19. Larіn A. O. Doslіdjennya kolivan’ tankovih dizelіv sіmeistva TD (іstorіya pitannya). Vіsnik Nacіonal’nogo unіversitetu «L’vіvs’ka polіtehnіka» № 670 «Derjava ta armіya». L’vіv: Vid-vo NU «L’vіvs’ka polіtehnіka», 2010, pp. 199-205. 20. Andreev Yu. M., Shteinvol’f L. I. Komp’yuternoe modelirovanie zadach mehaniki golonomnyh sistem tverdyh tel so stacionarnymi i nestacionarnymi svyazyami. Dinamika i prochnost’ mashin, 1993, vol. 53, pp. 96-102. 21. Andreev Yu. M., Shteinvol’f L. I. Komp’yuternoe postroenie differencial’nyh uravne-nii dvijeniya negolonomnyh sistem. Dinamika i prochnost’ mashin, 1993, vol. 54, pp. 93-98. 22. Andreev Yu. M., Drujinin E.I., Larin A.A. Praktikum po teoreticheskoi mehanike s primeneniem PEVM. Kharkiv: NTU “KhPI”, 2004, 100 p. 23. Larin A. A., Mitin V.N., Shteinvol’f L.I. Ispol’zovanie cifrovogo imitatora dlya issledovaniya sistem vibracionnoi diagnostiki rabochego processa DVS. Dvigateli vnutrennego sgoraniya, 1983, vol. 37, pp. 118-124. 24. Larin A. A., Shteinvol’f L.I. Primenenie metoda regulyarizacii v analiticheskoi vibracionnoi diagnostike mashin. Dinamika i prochnost’ mashin, 1987, vol. 45, pp. 67-70. 25. Shteinvol’f L. I. Dinamicheskie raschety mashin i mehaniz-mov. Moscow–Kyyiv: Mashgiz, 1961, 340 p.
Please cite this article as
Andreev Ju.M., Drujinin E.I., Larin A.A. Centenary of Professor Lev Izrailevich Shteinvolf. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 27-31.
High-speed deformation of a high-strength coated thin plate
Avtonomova L.V.; Bondar S.V.; Stepuk A.V.; Khavin V.L.; Shergin S.Y.;
About authors
Avtonomova Ludmila – Candidate of Technical Sciences (Ph. D.), Leading Researcher, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: lavtonomova@gmail.com;Bondar Sergiy – Candidate of Technical Sciences (Ph. D.), Senior Researcher, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: serg_xpi@mail.ru;Stepuk Alexander – Candidate of Physics -Mathematical Sciences (Ph. D.), Senior Researcher, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: abtop@yahoo.com;Khavin Valeriy – Candidate of Technical Sciences (Ph. D.), Head of Departmentsr, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: Vkhavin@kpi.kharkov.ua;Shergin Sergei – Senior Lecturer, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: Sshergin@kpi.kharkov.ua
Abstract and Keywords
The punch with cone-shaped working part impact into aluminum alloy thin-walled structures is mathematical modelled applying thermo-mechanical coupling of the physical processes during their deformation. The nonlinear physical properties contain a nonlinear stress-strain rate dependence of temperature. To solve the contact problem the sliding boundary conditions (friction) on moving bodies introduced. Numerical simulation of impact process performed using the finite element method and the independent Lagrange-Euler approach for two variants of the thin-walled box structure. The solution of the dynamic viscous plastic contact problem allowed to determine and to design the stress-strain fields in the thin-walled box section. For comparison, the deformation process of the similar aluminum construction with an additional rib considered when the punch with the conical working part impact. Analysis of stress-strain state for two various types of structural geometries demonstrated that mounting the additional medial rib into its design let redistribute the stress fields and significantly reduce the plastic deformation area during the impact because of four fold increasing in its contact stiffness. Such modification of the structure rigidity may improve the strength properties of the entire composite security device applying changes only to its part.
Keywords: theoretical mechanics, theory of vibrations, machine dynamics, computer algebra system, diesel tank and propulsion systems, vibration diagnostics
References
1. Abrosimov N.A., Bazhenov V.G. Issledovanie dinamicheskogo deformirovanija uprugoplasticheskih sfericheskih obolochek pri teplovom udare. Izv. AN SSSR. MTT. 1978, No 1, pp. 139-143. 2. Bazhenov V.G., Batanin M.A. Issledovanie uprugoplasticheskih processov deformacii kruglyh plastin pri impul’s-nom nagruzhenii s uchetom bol’shih progibov. Prikl. mehanika, 1978, No 3, pp. 74-78. 3.Vorob’ev Ju., Chernobryvko V. Skorostnoe deformiro-vanie jelementov konstrukcij v uprugoplasticheskoj stadii. Problemy obchyslyuval’noiyi mekhaniky i mitsnosti konstruktsiy. 2010, vol. 14, pp. 87-92. 4. Bizjuk A.V., Bizjuk V.V., Kolodjazhnyj A.V. Skorostnoj udar po tonkostennym konstrukcijam. Vestnik HNU “KhPI”, 2007, No 775, pp. 29-35. 5. Avtomonova L. V., Bondar’ S. V., Stepuk A. V. De-formirovanie P-obraznoj tonkostennoj konstrukcii s rebrami zhestkosti pri udare sharom. Visnyk NTU “KhPI”. Seriya: Matematychne mode-lyuvannya v tekhnitsi ta tekhnolohiyakh. Kharkiv: NTU “KhPI”, 2014, No 6 (1049), pp. 3-8. 6. Dmitrieva L. M. Plastinki i obolochki, podkre-plennye rebrami zhestkosti, pod dejstviem lokal’nyh dinamicheskih na-gruzok. Issledovanija po teorii plastin i obolochek, 1976, No 12, pp. 172-187. 7. Stepuk O. V., Avtomonova L. V., Bondar S. V. Osoblyvosti deformuvannya P-podibnoyi tonkostinnoyi konstruktsiyi pry udari. Vis-nyk NTU “KhPI”. Seriya: Matematychne modelyuvannya v tekhnytsi ta tekhnolohiyakh. Kharkiv: NTU “KhPI”, 2013, No 37, pp. 193-199. 8. Bayoumi H. N. Arbitrary Lagrangian-Eulerian formulation for quasi-static and dynamic metal forming simulation. PhD. Dissertation. Univer-sity of British Columbia, 2001, 128 p.
Please cite this article as
Avtonomova L.V., Bondar S.V., Stepuk A.V., Khavin V.L., Shergin S.Y. High-speed deformation of a high-strength coated thin plate. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 32-34.
Optimization of the circular plate in unsteady loading
Vasilchenko V.F.; Lomakin A.N.;
About authors
Vasilchenko Viktor Fedorovich – candidate of technical science, associate professor, Department of Applied Mathematics, NTU «KhPI», tel. (057) 707- 60- 32; e-mail: viktor_vasilchenko@rambler.ru; Lomakin Alexsandr Nikolaevich – candidate of technical science, associate professor, Department of Dynamics and Strength of Machines, NTU «KhPI», tel. (057) 707- 68- 79; e-mail: anlomakin@rambler.ru
Abstract and Keywords
We consider the round plate is exposed to a non-stationary load. An algorithm for solving the problem of the plate the minimum weight with restrictions on the movement and tension. The problem is solved by a method of successive approximations. Necessary optimality conditions are formulated based on the Pontryagin principle. On the basis of these conditions are optimal and the algorithm of the method of successive approximations developed a versatile program of optimization of circular plates. With it are the minimum volume configuration with restrictions on the stresses and displacements for any fixing. At the same time the original and conjugate variables for each specific geometric execution of the plate h (r) are sought by an expansion in their own forms of vibrations. Boundary problems are solved by the method of initial parameters; the initial problem with the integrated by the Runge – Kutta method. Maximizing Hamiltonian performed in a finite set of points along the radius of the plate. The results of calculating the optimum plate.
Keywords: plate, optimization, stress-strain state, minimizing the volume of the boundary value problem
References
1. Pontryagin L. S., Boltyanskij V.G., Gamkrelidze R.V., Mischenko E.F. Matematicheskaya teoriya optimal’nyh processov. Moscow: Nauka, 1969, 384 p. 2. Chernous’ko F. L., Banichuk N.V. Variacionnye zadachi mehaniki i upravleniya. Moscow: Nauka, 1973, 238 p. 3. Grinev V. B., Fillipov A.P. Optimizaciya elementov konstrukcij po mehanicheskim harakteristikam. Kyyiv: Naukova dumka, 1975, 295 p. 4. Timoshenko S.P. Kolebaniya v inzhenernom dele. Moscow: Nauka, 1967, 444 p.
Please cite this article as
Vasilchenko V.F., Lomakin A.N. Optimization of the circular plate in unsteady loading. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 35-37.
Mutual influence of connections with a tightness
Vinogradsky D.G.; Andreev A.G.;
About authors
Vinogradsky DmitryGeorgievich – Student, Department of Dynamics and strength of machines, National Technical University «KPI», tel.: (063) 426-13-64, e-mail: cikmon@mail.ru;Andreev Arnol’d Georgievich – Candidate of Technical Sciences, Associate Professor, National Technical University «KhPI», Department of Dynamics and Strength of Machines, tel.: (057)707-68-79, e-mail: andreev@kpi.kharkov.ua
Abstract and Keywords
This work is devoted to research of mutual influence of connections with a tightness of options for connections with a tightness: solid shaft with two hubs, two solid shaft sleeve, hollow shaft with two hubs, two hollow shaft sleeve PC ANSYS. The characteristics of the stress-strain state (equivalent stresses). The contact pressure of the total displacement), depending on the size of the interval between the compounds with an interference fit. It was found that increasing the interval characteristics of the stress-strain state of the first change-intensive, then stabilize when it reaches a certain value range. A similar pattern has the characteristic features of each type of compound. Each of the two connections with a tightness, included in this type of connections are identical in their characteristics of the stress-strain state. These results are consistent with the stress distribution in the Lame of thick-walled cylinders and indicate the possibility of applying the principle of San-Venan compounds with an interference fit.
Keywords: connections with a tightness, finite element method, stress, strain
References
1. Samul V.I. Osnovi teorii uprugosti i plastichnosti. Uchebnoe posobie. Moscow: Visshaya shkola, 1982, 264 p. 2. Bemiker E.I. Posadka s natyagom v mashinostroenii. Moscow: Mashinostroenie, 1968, 168 p. 3. Tarabasov N.D. Raschet napryazhen-nyh posadok v mashinostroenii. Moscow: Mashgiz, 1961. 264 p. 4. Shevchenko R.A., Andreev A.G. Komp’yuternoe modelirovanie neko-toryh tipov profil’nyh soedinenij s natyagom pri osevyh nagruzkah. Vis-nyk NTU “KhPI”, 2014, No 57, pp. 106-114. 5. Danilov D.V., Andreev A.G. NDS profil’nyh soedinenij s natyagom pod dejstviem kontaktnyh nagruzok. Visnyk NTU “KhPI”, 2011, No 52, pp. 63-76. 6. Basov K.A. ANSYS: spravoch- nik pol’zovatelya. Moscow: DMK Press, 2005, 640 p. 7. Basov K.A. ANSYS v primerah i zadachah. Pod red. D.G. Kraskovskogo. Moscow: Komp’yuter Press, 2002, 224 p. 8. Basov K.A. Graficheskii interfeice kompleksa ANSYS. Moscow: DMK Press, 2006, 248 p.
Please cite this article as
Vinogradsky D.G., Andreev A.G. Mutual influence of connections with a tightness. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 37-44.
Nonstationary vibrations of strings and their systems contacting with different concentrated loads
Voropay A.V.; Malakhov E.S.;
About authors
Voropay Alexey Valerievich – Candidate of Technical Sciences, Associate Professor, Doctoral Candidate at the Department of Higher Mathematics, National Technical University “Kharkiv Polytechnic Institute”, tel.: (050) 524-92-54, e-mail: voropay@mail.ru;Malakhov Evgeniy Sergeevich – Postgraduate Student, Kharkiv National Automobile and Highway University, tel: (067) 738-02-01, e-mail: malahov1234@gmail.com
Abstract and Keywords
Nonstationary vibrations of strings and their systems, caused by a finite numbers of concentrated loads, are considered. External forces can be simulated by nonstationary concentrated loads. We can use nonstationary concentrated loads to simulate the external forces and reactions, conformed to influence of mass or dampers. A generalized layout of research was built for system of strings, where all strings intersect a common one. A method for constructing the system of equations is given. The system consists of one-dimensional wave equations for several strings. The system is closed by additional relations in contact points. The obtained system is the system of Volterra integral equations. The system is reduced to block matrix equation after discretization. The problem of nonstationary string vibrations with two joined dampers is solved as an example.
Keywords: string, transient loading, the wave equation, regularization algorithm, Volterra integral equation, direct and inverse problem
References
1. Tihonov A.N., Samarskij A.A. Uravnenija matematicheskoj fiziki (5-e izd.). Moscow: Nauka, 1977, 742 p. 2. Aramanovich I.G., Levin V.I. Urav-nenija matematicheskoj fiziki. – Moscow: Nauka, 1969, 288 p. 3. Malakhov E. S, Voropaj A. V. Obratnaja zadacha dlja nestacionarnyh kolebanij sistemy strun. Vіsnik NTU “KhPІ”. Serіja: Matematichne modeljuvannja v tehnіcі ta tehnologіjah, Kharkіv: NTU “KhPІ”, 2016, No 6 (1178), pp. 56-62. 4. Lin Chen, Limin Sun, Satish Nagarajaiah. Cable vibration control with both lateral and rotational dampers attached at an interme-diate location. Journal of Sound and Vibration, vol. 377, 1 Sep-tember 2016, pp. 38-57. 5. Tihonov A.N., Arsenin V.Ja. Metody reshenija nekorrektnyh zadach. Moscow: Nauka, 1986, 288 p. 6. Gantmaher F.R. Teorija matric. 2-e izd., dop. Moscow: Nauka, 1967, 576 p. 7. Voropaj A. V. Reguljarizirujushhij algoritm A.N. Tihonova v nekorrektnyh zadachah nestacionarnoj dinamiki uprugih jelementov konstrukcii. Vіsnik NTU “KhPІ”. Serіja: Matematichne modeljuvannja v tehnіcі ta tehnologіjah. Kharkіv: NTU “KhPІ”, 2015, No 41 (1150), pp. 22-29.
Please cite this article as
Voropay A.V., Malakhov E.S. Nonstationary vibrations of strings and their systems contacting with different concentrated loads. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 45-49.
Numerical simulation of the workpieces’ temperature field for manufacturing bearing rings during induction heating
Grozenok I.D.; Simson E.A.; Stepuk A.V.; Shergin S.Y. ;
About authors
Grozenok Ievgen – Postgraduate student, Strength of materials Department, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: ev.grozenok@gmail.com; Simson Eduard – Doctor of Sciences (High Ph. D.) Strength of materials’ Department, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: simson@upec.ua; Stepuk Alexander – Candidate of Physics -Mathematical Sciences (Ph. D.), Sr Researcher, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: abtop@yahoo.com; Shergin Sergei – Sr lecturer National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)-70-761-78, e-mail: Sshergin@kpi.kharkov.ua
Abstract and Keywords
Non-steady thermo-electromagnetic boundary problem is solved to define volume temperature filed distribution within the bear-ing ring during inductive heating of the cylinder work piece; its material magnetic characteristics assumed to depend on temperature. Numerical modeling was executed with software package based on finite elements. To make available the rational working regime of the inductive heater a few scheme parameters varied. Their choice defined to provide the most even volumetric temperature distribu-tion within a work piece. Given the process of cooling, the temperature field distribution in the work piece obtained before hot stamp-ing process start, which are limited with the predefined highest changes in temperature in the work piece. The latter meets the re-quirements to do not exceed a predetermined maximum temperature difference in the work piece. The obtained results of the tempera-ture distribution in the cylindrical blank were compared with the experimental data of pyrometric temperature measurements on the face surface and in the center of the perform tore end-part.
Keywords: cylindrical workpiece, induction heating, rational mode, thermos-electromagnetic problem, the finite element method
References
1. Denis, S. Revue de Mettallurgie. CIT/Science et Genie des Materiaux. fevrier, 1997, pp. 157-175. 2. Fedosov, S.A. Komp’juternaja programma dlja rascheta parametrov termicheskogo cikla pri impul’snom poverhnostnom nagreve. Materialy i uprochnjajushhie tehnologii – 99/VII Rossijskaja nauchn. tehnich. Konferencija (6-8 okt. 1999), Kursk, pp. 31-33. 3. Rödel J. Werkstoffphysikalische Model für das Randschichthärten von Stahl. HTM: Härter. techn. Mitt. 1999, 54, No 4, pp. 230-240. 4. Knjazev S.V., Danilushkin A.I., Mostovoj A.P. Modelirovanie stacionarnogo raspredelenija temperatury metalla v prohodnom indukcionnom nagrevatele. Vestnik Irkutskogo gosudarstvennogo tehnicheskogo universiteta, Irkutsk: IrGTU, 2012, No 9 (68), pp. 41-46. 5. Bazarov A.A., Bazir H.A., Zimin L.S. Postroenie chislennoj modeli nestacionarnogo teploobmena cilindricheskih zagotovok pri indukcionnom nagreve. Vestnik SamGTU. Ser. Tehnicheskie nauki, No 2, 20 (2007), pp. 181-183. 6. Knjazev S.V., Danilushkin A.I., Semenov S.I. Matematicheskaja model’ indukcionnogo nagreva podshipnikovyh kolec pered raskatkoj. Vestnik Voronezhskogo gosudarstvennogo tehnicheskogo universiteta, Voronezh: VGTU, 2012, vol. 8, No 10-1 (2012), pp. 101-103. 7. Kuvaldin, A.B. Teorija indukcionnogo i dijelektricheskogo nagreva. Moscow: Izd-vo MJeI, 1999, 80 p. 8. Podstrigach Ja.S., Burak Ja.I., Kondrat V.F. Magnetotermouprugost’ provodjashhih tel. Kiev: Naukovа dumka, 1982, 248 p.
Please cite this article as
Grozenok I.D., Simson E.A., Stepuk A.V., Shergin S.Y. Numerical simulation of the workpieces’ temperature field for manufacturing bearing rings during induction heating. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 50-53.
Tribological system of ultrasonic welding. Subsystem ultrasonic tool
Isakov S.; Isakov O.; Marusenko S.;
About authors
Isakov Sergei – Candidate of Technical Sciences (Ph. D.), sr. researcher, National Technical University “Kharkiv Polytechnic Institute”, Department of Resistance of materials, tel.: (057) 707-69-78, e-mail: si@manoilgroup.com; Isakov Oleksii – postgraduate, National Technical University “Kharkiv Polytechnic Institute; Marusenko Svitlana – researcher, National Technical University “Kharkiv Polytechnic Institute” Department of Resistance of materials, tel.: (057) 707-61-78
Abstract and Keywords
A subsystem of the ultrasonic instrument using ANSYS software system, which is integrated in the tribological system of ultrasonic welding, is developed. The simulation of the ultrasonic tool, which is symmetrical about an axis, and numerical calculations of the working resonance frequency and waveform are fulfiled. An approach to the integration of new subsystems into the overall tribological ultrasonic welding system is proposed.
Keywords: tribological system, the high loading, ultrasonic welding
References
1. Isakov S.M. Trybosystema v yakosti modeli UZ zvaryuvannya. Informatsiyni tekhnolohiyi: nauka, tekhnika, tekhnolohiya, osvita, zdorov’ya: Tezy dopovidey XXI mizhnar. nauk.-prakt. konf., Ch.1 (Kharkiv) za red. prof. Tovazhnyans’koho L.L. Kharkiv, NTU “KhPI” (2013): 1 p. 2. Avtonomova L.V., Isakov S.N. Upravlenie parametrami tehnologicheskogo processa strukturnosvjazannoj akusticheskoj sistemy. Vostochno-evropejskij zhurnal peredovyh tehnologij. Kharkiv 1/5 (2008): pp. 3-6. 3. Isakov S.N. Postroenie tribologicheskoj sistemy ul’trazvukovoj svarki. Visnyk NTU “KhPI”. Zb. nauk. prats’. Seriya: Dynamika i mitsnist’ mashyn. Kharkiv: NTU “KhPI”, 63 (1036). 2013. pp. 55-59. 4. Isakov S., Kedrovskaya O. Designing of ultrasonic waveguides in conditions of spatial oscillations. MicroCAD’99 Information technologies: Science, Technique, Technology, Education, Health. Iss. 7, part 1 (1999). pp. 293-299. 5. Isakov S. Adaptive Structures Optimization. Modelling and Control of Adaptive Mechanical Structures – Fortschr.-Ber. VDI Reihe 11. Nr. 268. Düsseldorf: VDI Verlag (1998). pp. 249-256.
Please cite this article as
Isakov S., Isakov O., Marusenko S. Tribological system of ultrasonic welding. Subsystem ultrasonic tool. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 54-56.
Modelling of the hull of the steam turbine and the analysis of the basic vibration characteristics
Krasnikov S.V.;
About authors
Krasnikov Sergij Vasyl’ovych, Candidate of Technical Sciences, Associate Professor, Kharkov National Automo-bile and Highway University, phone (+038057) 707-37-30, e-mail: vsevakr@yandex.ru
Abstract and Keywords
Investigates the vibration characteristics of the casing of the steam turbine and its interaction with the foundation. The object of the study is the most flexible housing of a steam turbine – low pressure case. The steam turbine is considered, which refers to the highest capacity among the structures of this type. Modeling and computational studies performed using the finite element method. Built a series of finite element models of the considered structures. The calculations of self-oscillations to a series of ten models. The main vibration characteristics at different options for modeling the relationship between the hull of the steam turbine with the foundation. The obtained results can be used to assess the vibration condition of the shell of the steam turbine and the foundation on which rests every case.
Keywords: vibration, steam turbine, low pressure case, finite element method, own frequencies, foundation
References
1. Runov B.T. Issledovanie i ustranenie vibracii parovyh turboagregatov. Moscow: Energoizdat, 1982, 352 p. 2. Shul’zhenko N.G., Vorob’ev Yu.S. Chislennyj analiz kolebanij sistem turboagregat-fundament. Kyyiv: Nauk. dumka, 1991, 232 p. 3. HITACHI. Turbine and Generator Foundation Design and construction & recommendation. Tokyo: Japan, 2009, 104 p. 4. Eremenko S.Yu. Metody konechnyh elementov v mehanike deformiruemyh tel. Kharkiv: Osnova, 1991, 271 p. 5. Zhovdak V.O., Krasnikov S.V., Stepchenko O.S. Reshenie zadachi statisticheskoj dinamiki mashinostroitel’nyh konstrukcij s uchetom sluchajnogo izmeneniya parametrov. Problemy mashinostroeniya, Kharkiv: Kontrast, 2004, vol. 7, No 3, pp. 39-47. 6. Krasnikov S.V., Stepchenko O.S., Toryanik A.V. Komp’yuterne modelyuvannya bahatokorpusnoho turboahrehatu ta analiz joho vibracijnykh kharakterystyk. Mashynoznavstvo, L’viv: Kinpatri, 2009, No 2, pp. 27-33. 7. Zhiqiang Hu, Wei Wang, Puning Jiang, Qinghua Huang, Jianhua Wang, Sihua Xu, Jin He and Lei Xiao A Seismic Analysis on Steam Turbine Considering Turbine and Foundation Interaction.ASME Turbo Expo 2014: Turbine Technical Conference and Exposition Volume 1B. Düsseldorf: International Gas Turbine Institute, 2014, pp. V01BT27A041, 8 pages. 8. Alan Turnbull. Corrosion pitting and environmentally assisted small crack growth. Proceedings. Mathematical, Physical, and Engineering Sciences. London: The Royal Society, 2014, pp. 20140254, 19 pages. 9. Adhhikari Sukanta Turbo-Generator Foundation. Structural Engineering Forum of India. New Delhi: SEFI, 2010, pp.1-19. 10. Chowdhury Indrajit, Dasguptu P. Shambhu Dynamics of Structure and foundation a unified approach. Leiden: CRC Press, 2009, 616 p. 11. Gu Ping New dynamic participation factor for turbine generator foundation Practice Periodical on Structural Design and Construction. VA.: American Society of Civil Engineers, 2009, No 15 (1), pр. 54-62.
Please cite this article as
Krasnikov S.V. Modelling of the hull of the steam turbine and the analysis of the basic vibration characteristics. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 56-59.
Deformation analysis of compound structures under electromagnetic press-molding
Lavinsky D.V.;
About authors
Lavinsky Denis Vladimirovich – Candidate of Technical Sciences, Associate Professor at the Department of Theo-retical Mechanics, National Technical University “Kharkiv Polytechnic Institute”, tel.: (057)- 70-763-73, e-mail: denis.lavinsky@ukr.net
Abstract and Keywords
The paper under consideration deals with the deformation analysis of compound conductive structures. It is considered the inelastic deformation of the die molds for electromagnetic compactions of powders. It is presented the general mathematical statement of the problem. The statement includes equations for electromagnetic field and for inelastic deformation. The numerical method of solving is based on the variation principles of full energy stationarity. The proposed numerical method is used for analisis of deformation of one type of press-molding for electromagnetic powder compaction.
Keywords: electromagnetic field, inelastic deformation, powders compaction, finite element method
References
1. Mamalis A. G., Manolakos D. E., Kladas A. G., Koumoutsos A. K. Electro-magnetic tooling for metal forming and powder compaction: numerical simulation. In Proceedings of the 1 st International Conference on High Speed Forming. 2004, March. pp. 143-154. 2. Ashihmin V.P., Biryukov O.V., Gurin V.A., Zatoloka B.B., Kolosenko V.V.,. Saenko S.Yu., Lavinsky D.V., Morachkovsky O.K. Analiz prochnosti elementov press-form iz uglerod-uglerodnykh materialov dlya psevdoizostatichskogo pressovaniya. Voprosy atomnoj nauki I tekhniki. Seriya: Phizika radiacionnykh povrezhdenij I radiacionnoe materialovedenie (91). 2007, No 6, pp.120-123. 3. Belokon’ A.V., Eremeyev V.A., Nasedkin A.V., Solov ’yev A.N. Partitioned schemes of the finite-element method for dynamic problems of acoustoelectroe-lasticity. J. Appl. Math. Mech. 2000, 64 (3), pp. 367–377. 4. Nasedkin A.V., Eremeyev V.A. Harmonic vibrations of nanosized piezoelectric bodies with surface effects. ZAMM 94, 2014, 10, pp. 878–892. 5. Altenbach H., Morachkovsky O., Naumenko K. and Lavinsky D. Inelastic deformation of conductive bodies in electromagnetic fields. Continuum Mechanics and Thermodynamics. 2015, vol. 27, iss. 12, pp. 1-13. DOI: 10.1007/s00161-015-0484-8 6. Lavinsky D.V., Morachkovsky O.K. Pruzhno-plastychne deformuvannya system til pry dii electromagnitnykh poliv. Visnyk Zaporiz’kogo nacional’nogo universitetu: zb.nauk. st. phizyko-matematychni nauky. Zaporizhzhya: ZNU, 2015, No 2, pp. 125-135. 7. Simo J., Hughes T. Computational Inelasticity. Springer, New York, Berlin, Heidelberg, 1998. 8. Cazzani A., Atluri S.N. Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes. Comput. Mech. 1993, 11 (4), pp. 229–251. 9. Cazzani A., Garusi E., Tralli A., Atluri S.N. A four-node hybrid assumed-strain finite element f or laminated composite plates. CMC Comput. Mater. Contin. 2005. 2 (1), pp. 23–38. 10. Bondar’ S.V., Lavinskii D.V. Study of thermoelastoplastic contact deformation of production tooling mixed structures. Strength of Materials, 2011, vol. 43, No 4, pp. 447-454.
Please cite this article as
Lavinsky D.V. Deformation analysis of compound structures under electromagnetic press-molding. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 60-63.
Experimental estimation of fatigue resistance of rubber-cord composite under orthogonal to reinforcement deformation be-fore and after artificial aging
Larin O.O.;
About authors
Larin Oleksij Oleksandrovych – Candidate of Technical Sciences, Associate Professor, National Technical University «KhPI», Department of Dynamics and Strength of Machines, tel.: (057) 707-68-79, e-mail: AlexeyA.Larin@gmail.com
Abstract and Keywords
The paper defines parameters of the fatigue resistance of the rubber-base composite with textile reinforcement and the regularity of their changes due to aging. That material is presents pneumatic tire’s carcass layer. The research has carried out experimentally using a modern measuring system INSTRON. Tests have been carried out with specimens on cyclic tensile uni-directional deformation in a displacement control condition. The amplitudes of deformation was fixed and the specimens cycles around the set middle level of deformation, that avoids the effect of specimen buckling. The results of the tests on cyclic deformation up to failure at different amplitudes of the load have been approximated by the straight lines in a double logarithmic coordinates, i.e. classical Wohler fatigue curves were obtained. The specimens before and after aging have been studied independently. The aging of samples was gained artificially using the procedure of thermal prolonged exposure in a heat chamber at a fixed temperature. Based on the recommendations given in the literature, the samples were kept for 6 days at 80 °C, that corresponds to the natural aging of this material at a room temperature during the 3 years. Comparative analysis of fatigue curves obtained for samples of the material before and after artificial aging shows that the slope of Wohler curves does not change over the time, but the basic number of cycles to failure is significantly reduced. The parameters of the approximations for fatigue curves are obtained relatively for the amplitudes of strains and Cauchy true stresses.
Keywords: rubber composites, aging, experimental fatigue tests, carcass layers of the pneumatic tire
References
1. Noda N.-A. Kim B., Ota B. et al. Effect of dimensions of crimped portion upon sealing performance of hydraulic brake hose by applying three-dimensional fem analysis. Journal of Solid Mechanics and Materials Engineering. 2013. vol. 7, no. 2, pp. 281-292. 2. Luo Y., Liu Y., Yin H. P. Numerical investigation of nonlinear properties of a rubber absorber in rail fastening systems. International Journal of Mechanical Sciences. 2013. vol. 69, pp. 107-113. 3. Polukoshko S., Gonca V., Svabs J. Vibration damping using laminated elastomeric structures. Solid State Phenomena. 2015. vol. 220-221. pp. 81-90. 4. Seung-Bum Kwak, Nak-Sam Choi Micro-damage formation of a rubber hose assembly for automotive hydraulic brakes under a durability test. Engineering Failure Analysis. 2009. vol. 16, pp. 1262-1269. 5. Cho J.R., Yoon Y.H., Seo C.W., Kim Y.G. Fatigue life assessment of fabric braided composite rubber hose in complicated large deformation cyclic motion. Finite Elements in Analysis and Design. 2015. vol. 100, pp. 65-76. 6. Mars W., Fatemi A. A literature survey on fatigue analysis approaches for rubber. International Journal of Fatigue. 2002. vol. 24, no. 9, pp. 949-961. 7. Schubel P. M., Gdoutos E. E., Daniel I. M. Fatigue characterization of tire rubber. Theoretical and Applied Fracture Mechanics. 2004. vol. 42, no. 2, pp. 149-154. 8. Sun Q., Dui H.-N., Fan X.-L. A statistically consistent fatigue damage model based on miner’s rule. International Journal of Fatigue. 2014. vol. 69, pp. 16-21. 9. Zhao Y. X., Liu H. B. Weibull modeling of the probabilistic s–n curves for rolling contact fatigue. International Journal of Fatigue. 2014. vol. 66, pp. 47-54. 10. Baldwin J. M., Bauer D. R., Ellwood K. R. Rubber aging in tires. part 1: field results. Polymer Degradation and Stability. 2007. vol. 92, no. 1, pp. 103-109. 11. Bauer D. R., Baldwin J. M., Ellwood K. R. Rubber aging in tires. part 2: accelerated oven aging tests. Polymer Degradation and Stability. 2007. vol. 92, no. 1, pp. 110-117. 12. Choi J.-H., Jin Kang H., Jeong H.-Y. [et al.] Heat aging effects on the material property and the fatigue life of vulcanized natural rubber, and fatigue life prediction equations. Journal of Mechanical Science and Technology. 2005. vol. 19, no. 6, pp. 1229-1242. 13. La Count B. J., Castro J. M., Ignatz-Hoover F. Development of a service-simulating, accelerated aging test method for exterior tire rubber compounds ii. design and development of an accelerated outdoor aging simulator. Polymer Degradation and Stability. 2002. vol. 75, no. 2, pp. 213-227. 14. Woo C. S., Kim W. D. Heat-aging effects on the material properties and fatigue life prediction of vulcanized natural rubber. e-Journal of Soft Materials. 2006. vol. 2, pp. 7-12.
Please cite this article as
Larin O.O. Experimental estimation of fatigue resistance of rubber-cord composite under orthogonal to reinforcement deformation be-fore and after artificial aging. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 63-68.
The stress-strain state research of disk harrow on an individual spring rack
Simson E.A.; Yagudin D.S. ;
About authors
Simson Eduard Al’fredovich – Doctor of Technical Sciences, NTU “KhPI”, tel.: (057)-70-761-78, e-mail: sim-son@upec.ua; Yagudin Dmitrij Sergeevich – Postgraduate Student, NTU “KhPI”, tel.: (057)-70-761-78, e-mail: dmitriy.yagudin27@gmail.com
Abstract and Keywords
An operating process of disc harrow on the individual spring rack was conducted by computer simulation. A problem is set on research of rack under power and kinematic load from the action of operational loads, and also the frequency analysis of construction was conducted. The analysis of strains and stresses fields has shown that static and kinematic loading itself does not lead to destruction of the rack. By results of fracture surface research destruction carries complex character: the accumulation of fatigue damage with the subsequent destruction under kinematic static load.
Keywords: disc harrow, spring rack, natural frequency, destruction, finite element method
References
1. Sovremennye energosberega-yuschie tehnologii obrabotki pochvy. Available at: http://urozhayna-gryadka.narod.ru/energosber. technologii.htm 2. Tehnologiya “nulevoj” obrabotki pochvy. Available at: http://opyt.t30p.ru/post/leopoliss-No-Till-eto-znachit-bez-vspash ki-Tehnologiya-nulevoi-obrabotki-pochvi.aspx 3. Babickij L.F., Merenov A.S. Analiz konstrukcii diskovyh pochvoobrabatyva-yuschih rabochih organov. Sovremennye problemy nauki i tehniki. 2014, No 6. 4. Strel’bickij V.F. Silovye harakteristiki rabochih organov diskovyh luschil’schikov i boron. Traktory i sel’hozmashiny. 1968, No 1, pp. 30-33.
Please cite this article as
Simson E.A., Yagudin D.S. The stress-strain state research of disk harrow on an individual spring rack. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 68-70.
Strength and dynamic analysis multicomponent cyclically symmetric structures (rolling bearings)
Simson E.A.; Nazarenko S.A.;
About authors
Nazarenko Sergej Aleksandrovich – Candidate of Technical Sciences, Senior Staff Scientist, National Technical University «KhPI», Department of Strength of Materials, tel.: (057) 700-29-72, e-mail: nazarenko_serzh@mail.ua; Simson Eduard Alfredovich –Doctor of Technical Sciences, Professor of the Department of Strength of Materials, NTU «KhPI», tel.: (057)- 700-29-72, e-mail: nazarenko_serzh@mail.ua
Abstract and Keywords
This paper reviewed and analyzed the methods of strength and dynamic analysis of cyclically symmetric structures. The original method of analysis has been proposed cyclically symmetric structures such as rolling bearings. Rolling bearings are commonly used in industrial machines. Fea-tures cyclically symmetrical designs allow the creation of specialized by theory and numerical techniques to move from the general methods of analy-sis in the direction of special, much smaller dimensions and costs. Methods for solving spectral problems for cyclically symmetric structures are based on the inclusion of quasi-cyclic decomposition scheme “inside” of the iterative algorithm conversion subspace. Each step of the method is modeled on the basis of cyclical sectors. This allows processing sector finite-element model for each stage. Connectivity is achieved by cyclic recombination inter-face degrees of freedom. The functionality of this approach has been tested. Conclusions of the vibrations of rolling bearings were made.
Keywords: mechanics, cyclically symmetric structure, finite element method, rolling bearing, reduced order modeling techniques, stress, sector
References
1. Shi C., Parker R.G. Vibration mode structure and simplified modelling of cyclically symmetric or rotationally periodic systems. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 2015, vol. 471, No 2173, pp. 20140672. 2. Andreev A. G., Nazarenko S.A. Osnovnye napravleniya issledovanij uchenyh NTU “KhPI” v oblasti mehaniki. Visnyk NTU “KhPI”, 2015, No 57 (1166), pp. 3–7. 3. Shupikov A. N., Misyura C.Yu. Raschet napryazhenij ciklicheski-simmetrichnyh prostranstvennyh konstrukcij. Visnyk NTU “KhPI”, 2013, No 63 (1036), pp. 139-147. 4. He Y. A scaled boundary finite element method for cyclically symmetric two-dimensional elastic analysis. Computers and Structures, 2013, No 120, pp. 1–8. 5. Nazarenko S. A. Analiz chuvstvitel’nosti konstrukcij pri vozdejstvii fizicheskih polej razlichnoj prirody. Visnyk NTU “KhPI”, 2006, No 32, pp. 119–122. 6. Shah D. S., Patel V. N. A review of dynamic modeling and fault identifications methods for rolling element bearing. Procedia Technology, 2014, No 14, pp. 447-456. 7. Simson E. A., Nazarenko S.A., Trohman M.V. Metodika analiza chuvstvitel’nosti vibracionnyh parametrov mehanicheskih sistem. Vostochno-evropejskij zhurnal peredovyh tehnologij, 2008, No 2/4, pp. 44-47. 8. Simson E. A., Ovcharenko V.V., Demidov V.I. i dr. Holodnaya raskatka zagotovok podshipnikovyh kolec. Vіsnik NTU “KhPІ”, 2011, No 52, pp. 156-160. 9. Avtonomova L. V., Grozenok E.D., Simson E.A. Modelirovanie processa goryachej raskatki kolec podshipnika. Vіsnik NTU “KhPІ”, 2015, No 4 (1113), pp. 158–162. 10. Bogomolov S. I., Lutsenko S.S., Nazarenko S.A. Application of a superparametric finite shell element to the calculation of turbine blade vibrations. Strength of Materials, 1982, vol. 14, No 6, pp. 796-799. 11. Guo Y., Parker R.G. Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model. Mechanism and Machine Theory, 2012, No 51, pp. 32-45. 12. Marusenko S. I., Nazarenko S.O., Simson E.A. Analiz statyko-dynamichnykh nelinijnykh procesiv u elementakh strukturno zv’yazanykh system. Zb. nauk. pr. Akademiyi vnutrishnikh vijs’k MVS Ukrayiny, 2010, No 1 (15), pp. 65-75.
Please cite this article as
Simson E.A., Nazarenko S.A. Strength and dynamic analysis multicomponent cyclically symmetric structures (rolling bearings). NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 71-74.
Analysis the relaxation of contact pressure between viscoelastic composite band and pipeline
Sukiasov V.G.;
About authors
Sukiasov Vladimir Georgievich – Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Dynamics and Strength of Machines NTU “KhPI”, tel.: (057) 7076879, e mail: dpm_161@mail.ru
Abstract and Keywords
The statement and an approximate analytical method of solving the problem of interaction between the composite repair band and a steel pipeline are outlined. Computational model is a two-layer cylinder in plane strain conditions, under internal pressure. With one-sided Laplace transformation the viscoelastic problem solution is obtained in the images, according to the Volterra correspondence principle. The viscoelastic properties of the orthotropic composite are simulated by mixtures rule, taking into account the characteristics of reinforcing fibers and a polymer matrix. To find the original describing the time dependency of the contact pressure used the approximation of the transcendental part of image by truncated power series. The calculations were performed for different values of the reinforcing fibers volume content.
Keywords: band, pipeline, viscoelastic properties, composite, the contact pressure, the Laplace transformation
References
1. Lukacs J., , Nagy G., Torok I., Egert J., Pere B. Experimental and Numerical Investigations of External Reinforced Damaged Pipelines. Procedia Engineering 2. 2010, vol. 2, pp. 1191–1200. 2. Costa-Mattos H.S., Reis J.M.L., Sampaio R.F., Perrut V.A. An alternative methodology to repair localized corrosion damage in metallic pipelines with epoxy resins. Materials and Design. 2009, vol. 30, pp. 3581–3591. 3. Köpple M.F., Lauterbach S., Wagner W. Composite repair of through-wall defects in pipework. Analytical and numerical models with respect to ISO/TS 24817. Composite Structures. 2013, vol. 95, pp. 173–178. 4. Altenbah H., Naumenko K., Lvov G., Sukiasov V., Podgornyiy A. Prognozirovanie tehnologicheskih napryajeniy v truboprovode pri ego remonte kompozitnoy nakladkoy. Mehanika kompozitnyih materialov. 2015, T. 51, No 2, pp. 197–222. 5. Kristensen R. Vvedenie v mehaniku kompozitov. Moscow: Mir, 1982. 333 p. 6. Tuttle M.E. Structural Analysis of Polymeric Composite Materials. New York: Marcel Dekker, Inc. 2004, 640 p. 7. Duell J.M., Wilson J.M., Kessler M.R. Analysis of a carbon composite overwrap pipeline repair system. International Journal of Pressure Vessels and Piping. 2008, vol. 85, pp. 782–788. 8. Ditkin V.A., Prudnikov A.P. Integralnyie preobrazovaniya i operatsionnoe ischislenie. Moscow: Nauka, 1974, 544 p. 9. Meyz Dj. Teoriya i zadachi mehaniki sploshnyih sred. Moscow: Mir, 1974, 320 p. 10. Moskvitin V.V. Soprotivlenie vyazko-uprugih materialov. Moscow: Nauka, 1972, 328 p. 11. Lvov G.I., Sukiasov V.G. Issledovanie vyazkouprugogo deformirovaniya sostavnogo tsilindra. Vіsnik NTU “HPІ”. Serіya: Dinamika і mіtsnіst mashin. Kharkіv: NTU “HPІ”, 2013, No 58 (1031), pp. 119–124.
Please cite this article as
Sukiasov V.G. Analysis the relaxation of contact pressure between viscoelastic composite band and pipeline. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 74-77.
On prediction of the creep rupture time for axisymmetrically loaded hollow cylinders and cylindrical shells
Sklepus S.N.; Galishin A.Z.;
About authors
Sklepus Sergej Nikolaevich – Candidate of Physical and Mathematical Sciences, Senior Research Officer, IPMach NAS of Ukraine, Kharkiv; tel.: (050) 522-49-01, (0572) 67-54-95, e-mail: ssklepus@rambler.ru; Galishin Aleksandr Zakir’yanovich – Doctor of Technical Sciences, Leading Researcher, S.P.Timoshenko Institute of Mechanics NAS of Ukraine, Kyyiv, e-mail: galishin55@mail.ru
Abstract and Keywords
The problem of determining the stress-strain state, damageability and long-term strength of hollow cylinders and cylindrical shells, working under creep conditions, is considered. Solutions for shells of varyous thickness, based on the hypothesis of rectilinear element, compared with the 3D solutions for hollow cylinders under axisymmetric loading. The effect of aspect ratio on the accuracy of solutions based on the shell theory is investigated. Prediction approach of time to failure in 3D formulation on the basis of data, obtained by the shell theory and vice versa is elaborated.
Keywords: creep, damageability, time to fracture, prediction, hollow cylinder, cylindrical shell
References
1. Burlakov A.V., Lvov G.I., Morachkovskij O.K. Dlitel’naja prochnost’ obolochek. Kharkiv: Visha shk., 1981, 104 s. 2. Lokoshenko A.M., Pechenina N.E., Shes-terikov S.A. Dolgovechnost’ cilindricheskih obolochek pri chistom izgibe v uslovijah polzuchesti. Prikl. matematika i mehanika. 25, No 12, 1989, p. 73-78. 3. Shevchenko Yu.N., Babeshko М.Е., Terehov R.G. Termoviazkoplasticheskie processi slognogo deformirovanija elementov konstruktcij. Kyyiv: Nauk. dumka, 1992, 329 s. 4. Gal-ishin A.Z. Axisymmetric thermoviscoelastoplastic state of laminar orthotropic shells of revolution with a branched meridian. Int. Appl. Mech. 1993, vol. 29, No. 1, p. 61-69. 5. Altenbach H., Morach-kovsky O., Naumenko K., Sychov A. Zum Kriechen dünner Rotati-onsschalen unter Einbeziehung geometrisher Nichtlinearität sowie der Asymmetrie der Werkstoffeigenschaften. Forschung im In-genieurwesen. 1996, 62, № 3, p. 47-57. 6. Galishin A., Zolochevsky A., Kühhorn A., Springmann M. Transversal shear effect in moder-ately thick shells from materials with characteristics dependent on the kind of stress state under creep-damage conditions: Numerical modeling. Techn. Mech., 2009, vol. 29, No 1, p. 48-59. 7. Zolochevskij А.А., Sklepus A.N., Sklepus S.N. Nelinejnaja me-hanika deformiruemogo tverdogo tela. Kharkiv: «Biznes Іnvestor Grupp», 2011. 720 p. 8. Shevchenko Yu.N., Galishin A.Z., Babeshko M.E. Thermoviscoelastoplastic deformation of compound shells of revolution made of a damageable material. Int. Appl. Mech, 2015, vol. 51, No 6, p. 607-613. 9. Grigorenko Ja.M., Vasilenko A.T. Teorija obolochek peremennoj zhestkosti. (Metodi rascheta obolochek v 5 T., T4). Kyyiv: Nauk. dumka, 1981, 544 p. 10. Salo V.A. Kraevie zadachi statiki obolochek s otverstijami. Kharkiv: NTU «HPI», 2003, 203 p. 11. Zolochevsky A., Sklepus S., Galishin A., Kühhorn A., Kober M. A comparison between the 3D and the Kirchhoff-Love solutions for cylinders under creep-damage condi-tions. Techn. Mech. 2014. vol. 34, No 2, p. 104-113. 12. Dunne F.P.E., Othman A.M., Hall F.R., Hayhurst D.R. Representa-tion of uniaxial creep curves using continuum damage mechanics. Int. J. Mech. Sci. 1990, 32, No 11, p. 945–957. 13. Rvachev V.L. Teorija R-funktcij i nekotorie ее prilozhenija. Kyyiv: Nauk. dumka, 1982, 552 p. 14. Galishin A.Z., Shevchenko Yu.N. Calculating the thermoelastic stress state of medium-thickness shells of revolution. International Applied Mechanics. 2008, vol. 44, No 5, p. 526-533.
Please cite this article as
Sklepus S.N., Galishin A.Z. On prediction of the creep rupture time for axisymmetrically loaded hollow cylinders and cylindrical shells. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 77-84.
Investigation of the creep and damageability of a shallow shell from material with characteristics dependent on the kind of loading
Sklepus S.N.;
About authors
Sklepus Sergej Nikolaevich – Candidate of Physical and Mathematical Sciences, Senior Research Officer, IPMach NAS of Ukraine, Kharkiv, tel.: (050) 522-49-01, (0572) 67-54-95, e-mail: ssklepus@rambler.ru
Abstract and Keywords
The paper is devoted to the investigation of creep and damageability of isotropic shallow shell with complex shape made from material with characteristics dependent on the kind of loading. For the formulation of the problem are used the constitutive equations which describe the dislocation creep of initially isotropic materials with characteristics dependent on the kind of loading, associated with the nucleation and growth of planar microcracks with the preferred orientation. A method for solving of the non-linear initial-boundary value problem of creep and damageability is based on the combined application of the R-functions, Ritz and the Runge-Kutta–Merson methods. The influence of the direction of the external load on the creep, damageability and long-term strength of spherical shallow shell with complex shape has been investigated.
Keywords: creep, damageability, time to fracture, shallow shell, R-functions method
References
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Please cite this article as
Sklepus S.N. Investigation of the creep and damageability of a shallow shell from material with characteristics dependent on the kind of loading. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 85-88.
Dynamic stability research of the pressure regulator with pneumatic control with allowance for the gas column oscilations in the pipelines
Shevchenko S.; Grigoriev A.; Stepanov M.;
About authors
Shevchenko Sergey A. – Leading Engineer, Yuzhnoye State Design Office, Dnipropetrovs’k, Ukraine, e-mail: info@yuzhnoe.com; Grigoriev Aleksandr L. – doctor of technical sciences, professor, National technical university «Kharkiv polytechnic institute», Ukraine, tel.: +380577076035, e-mail: kpi_mmtt@mail.ru; Stepanov Mikhail S. – doctor of technical sciences, professor, National technical university «Kharkiv polytechnic institute», Ukraine, tel.: +380577076035, e-mail: kpi_mmtt@mail.ru
Abstract and Keywords
The discrete-continual nonlinear dynamic model of the liquid rocket engine pneumatic starting system is developed. The model describes steady oscillations at compressed helium supply from a gas tank through the pipelines and pressure regulator with pneumatic control. By using the harmonic linearization method the formulae have been derived for calculation of the gas flowrate oscillations in the throttle and throttling gap as well as collar friction forces. The calculation method of mechanical impedance has been developed for gas columns’ oscillations of the control unit’s piping system and formulae have been obtained for impedance of the cavities contacting with the regulator. The transcendental characteristic equation for frequencies and amplitudes of the regulator and pneumatic system free oscillations has been derived and methods of its solution have been developed. The graphic-analytical method of the dynamic stability system limit determination has been proposed as well as the new stability criterion for corresponding limit cycles has been obtained. It is shown that stability and oscillation depend on the pipes dimensions and control orifice diameter. The system adjusting sequence for self-oscillations of small amplitude is described.
Keywords: pneumatic system, discrete-continual model, harmonic linearization, mechanical impedance, dynamic stability, self-oscillations
References
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Utochnennyy raschet dinamicheskih parametrov gaza v sharoballone [Improved calculation of gas-dynamic parameters in spherical tank]. Visnyk NTU «KhPI». Kharkiv, NTU «KhPI» Publ., 2015, no. 45 (1154), pp. 32–40. 4. Shevchenko S. A., Mitikov Yu. A., Grigor’ev A. L. Osobennosti rascheta agregatov avtomatiki pnevmosistem raketnoy tekhniki pri uchete faktora szhimaemosti geliya [Specificity of control units of rocketry pneumatic systems analysis with allowance for the helium compressibility factor]. Visnyk NTU «KhPI». Kharkiv, NTU «KhPI» Publ., 2015, no. 45 (1154), pp. 32–40. 5. Stadnik D. M. Obespechenie ustoychivosti sistemy avtomaticheskogo regulirovaniya davleniya gaza v toplivnykh bakakh rakety-nositelya: dis. Kand. Tekhn. nauk [Assurance of the sustainability of the system of automatic control of gas pressure in the launch vehicle tanks. dis. Kand. Tekhn. nauk]. Samara, 2015. 195 p. 6. Dzitoev V. L., Esin V. I., Kuznecov V. F., Pryadko Yu. G. 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Please cite this article as
Shevchenko S., Grigoriev A., Stepanov M. Dynamic stability research of the pressure regulator with pneumatic control with allowance for the gas column oscilations in the pipelines. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 89-108.
Dangerous Bifurcations in 2-DOF Vibroimpact System
Bazhenov V. A.; Pogorelova O. S.; Postnikova T. G.;
Abstract and Keywords
Dynamic behaviour of strongly nonlinear non-smooth discontinuous vibroimpact system is studied. Under variation of system parameters we find the discontinuous bifurcations that are the dangerous ones. It is phenomenon unique to non-smooth systems with discontinuous right-hand side. We investigate the 2-DOF vibroimpact system by numerical parameter continuation method in conjunction with shooting and Newton-Raphson methods. We simulate the impact by nonlinear contact interactive force according to Hertz’s contact law. We find the discontinuous bifurcations by Floquet multipliers values. At such points set-valued Floquet multipliers cross the unit circle by jump that is their moduli becoming more than unit by jump. We also learn the bifurcation picture change when the impact between system bodies became the soft one due the change of system parameters. This paper is the continuation of the previous works.
Keywords: Vibroimpact, discontinuous, Hertz’s law, bifurcation, multiplier, nonlinear, stability
References
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Please cite this article as
Bazhenov V. A., Pogorelova O. S., Postnikova T. G. Dangerous Bifurcations in 2-DOF Vibroimpact System . NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 109-113.
Some stationary deformation problems for compound shells of revolution
Grigorenko Y.; Bespalova E.; N. Yaremchenko ;
Abstract and Keywords
A common approach to solving stationary deformation problems for compound systems composed of shells of revolution with different geometry and structure is developed. The approach is based on the use of shell models with different level of rigor and of the general numerical-analytical technique for solving corresponding problems. The examples of studying the subcritical stress-strain state, vibrations, and dynamical instability of complex form systems are presented, features of their deformation are noted.
Keywords: Compound systems, stationary deformation, common approach, analysis
References
1. Grigorenko Ya. M., Grigorenko A.Ya. The Problems of Statical and Dynamical Deformation of Anisotropic Inhomogeneous Shells with Variable Parameters and Their Numerical Solution (Review). Int. Appl. Mech., 2013, vol. 49 (2), pp. 123-193. 2. Bespalova E., Urusova G. Vibration of Highly Inhomogeneous Shells of Revolution under Static Loading. Journal of Mechanics of Materials and Structures, 2008, vol. 3(7), pp. 1299-1313. 3. Bespalova E.I., Urusova G.P. Stress State of Branched Shells of Revolution Subject to Transverse Shear and Reduction. Int. Appl. Mech, 2015, vol. 51 (4), pp. 410-419. 4. Bespalova E.I., Urusova G.P. Identifying the Domains of Dynamic Instability for Inhomogeneous Shell Systems under Periodic Loads. Int. Appl. Mech., 2011, vol. 47 (2), pp. 186-194.
Please cite this article as
Grigorenko Y., Bespalova E., N. Yaremchenko Some stationary deformation problems for compound shells of revolution. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 114-117.
Vibration diagnostics of rolling mills based on nonlinear effects in dynamics
Krot P.V.; Korennoy V.V.;
Abstract and Keywords
This paper intends to describe nonlinear effects occurring in rolling mills dynamics. That is necessarily for vibrations damping and reliable diagnostics of rolling mills equipment under non-stationary working conditions. Three types of nonlinear effects are investigated taking place in drivelines and stands of different design, namely, transient torsional vibrations in hot rolling mills, chatter vibrations in tandem cold rolling mills and parametrical vibrations in high-speed wire and rod rolling mills. The procedure is proposed for natural frequencies identification when short transient torque signals restrict application of the Fourier transform. Examples are given on using nonlinear effects for wear diagnostics and vibrations control based on natural frequencies and modes analysis of multi-body systems.
Keywords: rolling mills, nonlinear vibrations, chatter identification
References
1. Polzer J., Markworth M., Jelali M. et al. Intelligent soft-sensor technology and automatic model-based diagnosis for improved quality, control and maintenance of mill production lines (Softdetect). Report of Research Fund on Coal and Steel (RFCS). Luxemburg; 2009. 2. Krot P.V. Nonlinear Vibrations and Backlashes Diagnostics in the Rolling Mills Drive Trains. Proc. of 6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008), Institute of Problems in Mechanical Engineering RAS, June 30 – July 4, 2008, St. Petersburg, Russia, pp. 360-366. 3. Krot P.V., Prihodko I.Y., Chernov P.P. Regenerative chatter vibrations control in the tandem cold rolling mills. 4th European Conference on Structural Control (ECSC 2008), Institute of Problems in Mechanical Engineering RAS, St. Petersburg, Russia, September 8 12, 2008, pp. 428-437. 4. Liu X., Zang Y., Gao Z. and Zeng L. Time Delay Effect on Regenerative Chatter in Tandem Rolling Mills. Shock and Vibration, 2016, vol. 2016, pp. 39-54. 5. Pei-Hua Hu, Kornel F. Ehmann Regenerative Chatter in High-Speed Tandem Rolling Mills, Conference Paper. ASME 2006 International Manufacturing Science and Engineering Conference. 2006, January. 6. Chen Y., Liu S., Shi T., Yang S., Liao G. Stability analysis of the rolling process and regenerative chatter on 2030 tandem mills. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2002, vol. 216, No 12, pp. 1225-1235. 7. Chen Yonghui, Li Weihua, Shi Tielin, Yang Shuzi Regenerative chatter with fifth-octave-mode in 4-H cold rolling mills. Journal of Huazhong University of Science and Technology (Nature Science Edition), 2003, iss. 5, pp. 55-57 (in Chinese). 8. Zhao H., Ehmann K.F. Stability analysis of chatter in tandem rolling mills – part 2: the regenerative effect. Journal of Manufacturing Science and Engineering – Transactions of the ASME, 2013, vol. 135 (3), pp. 11-22. 9. Yuan L., Jarvenpaa V.-M. Nonlinear vibrations in a covered roll system with viscoelastic contact. Communications in Nonlinear Science and Numerical Simulation, 2009, vol. 14, pp. 3170–3178. 10. Guo R.-M., Urso A.C., Schunk J.H. Analysis of chatter vibration phenomena of rolling mills using finite element methods. Iron and Steel Engineer, 1993, vol. 70 (7), pp. 29-39. 11. Faassen R.P.H. et al. Prediction of regenerative chatter by modelling and analysis of high-speed milling. International Journal of Machine Tools & Manufacture, 2003, vol. 43, pp. 1437–1446. 12. Krot P.V. Dynamic Model of Geared Drive with Changeable Structure of High-Speed Wire Rolling Block. Vestnik NTU KhPI «Problems of Mechanical Drive», 2010, iss. 27, pp. 96-108 (in Russian). 13. Treder H., Dikhans G., Peken H. Simulation of torsional vibrations in the splitting gearbox of wire rolling mill. Stahl und Eisen, 1980, № 24, pp. 9-15. 14. Wang J., Cartright L.M. Torsional vibration modeling and dynamic simulation of a rolling stand power transmission system. Iron & Steel Eng, 1999, No 1, pp. 30-34. 15. Krot P.V. Dynamical processes in multi-path geared drive of slabbing mill. Vestnik NTU KhPI «Problems of Mechanical Drive», 2009, iss. 19, pp. 96-105 (in Russian). 16. Hofner J., Olenick J.E., Foley J.D. Predictive maintenance for No-Twist rod mills using vibration signature analysis. Iron & Steel Eng, 1991, No 1, pp. 55-61. 17. Schmidt J.M., Player R.E. et al. Continuous Vibration Monitoring of a 10 Stand Rod Block. AISE Steel Technology, 2002, No 1, pp. 44-45. 18. Svetlitsky V.A. Dynamics of rods. In: Foundations of Engineering Mechanics Series. Berlin, Heidelberg: Springer-Verlag; 2005.
Please cite this article as
Krot P.V., Korennoy V.V. Vibration diagnostics of rolling mills based on nonlinear effects in dynamics . NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2016. No. 26. Pp. 118-122.