The Rayleigh-Ritz method is applied to analyze the eigenfrequencies and the eigenmodes of the cantilevercylindrical shells. The properties of the conjugate eigenmodes are analyzed. The results of theanalysis are compared with the data of finite element calculations.

Keywords:
Rayleigh-Ritz method, eigenfrequencies, eigenmodes

Taharzadeh H., Avramov K.V. On vibration of clamped-free cylindrical shell. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 147-153.

This work deals with the development method of analysis of the stress-strain state of drive mountingstuds bearing hydro turbine. Proposed approach based on drive’s simulation as the cyclic symmetricstructure. The analysis of the stress-strain state taking into account the loads that arise during the installationand operation of a horizontal hydro turbine has been performed.

Keywords:
loads, drive mounting studs, horizontal hydro turbine

Stepchenko O.S., Trubaev O.I., Vodka O.O. Analysis of the stress-strain state of hairpins of fastening of a disk of a thrust bearing hydraulic unit. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 115-121.

The approach for analysis of dynamic stability of parabolic shells in supersonic stream is suggested.The assumed mode method is used to analyze the dynamics of parabolic shells. The structure vibrationsare described by finite DOF dynamical system. The characteristic exponents are calculated to analyzestability of trivial equilibrium.

Keywords:
dynamic stability, parabolic shell, supersonic stream

Chernobryvko M.V., Avramov K.V., Batutina T.Ya., Mesha Yu.V. Aeroelastic vibrations fairings of launch vehicles in a supersonic gas flow. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 131-139.

In general, the approximate formulas are presented for the calculation of unsteady free oscillations oflinear oscillator variables by WBK method. The application of these formulas to solve specific problemswas illustrated.

Keywords:
an oscillator, linearly variable length, resonance, WBK – method

Olshanskiy S.V., Olshanskiy V.P. IBD-method in calculations of transient oscillations of the oscillators. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 107-114.

The work deals with studying of the vibrations of the steam turbine blades with detachable bandageshroud. The dynamic characteristics and their comparative analysis have been calculated for the developedlinearized and non-linear finite element models of the two blades package. The results show thepossibility of the opening in the split parts of the shroud during vibrations and their nonlinear nature.

Keywords:
vibrations, detachable bandage, shroud

Larin A.A., Stepchenko A.S. Forced nonlinear vibrations of turbine blades c dynamic in releasable contact bandage with common-mode loading. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 69-81.

The П-formed thin-walled protection construction, its strain-stress deformations under out-central impactof the incident solid sphere is presented. The deformation features of the structures madeof differenttypes of steel are provided. The FEM analysis with CAD-FEM software AVTO DYN is implemented.

Keywords:
mathematical modeling, impact, plastic strain, finite element, П-formed thin-walled construction

Avtonomova L.V., Bondar S.V., Stepuk A.V., Ivkin V.V. The deformation of the U-shaped steel structure when hitting the ball. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 12-16.

An analytical method of universal simulation of dynamic processes in the power transmissions of transportvehicles with hydrostatic drive, based on the use of vector-matrix forms of the general variationalequations of mechanics and special computer algebra system are present. Some results of solving theproblem of analysis of this class of systems.

Keywords:
variational equations of mechanics, vector-matrix equations, power transmission, hydrostatic drive, special computer algebra system

Druzhinin E.I., Belomitcev A.S. The study of the dynamics of the hydromechanical power transmissions based on the computer algebra system. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 47-54.

The results of the study of forced oscillations of foundation turbogenerator 200 MW are described. Theanalysis of the frequency response in a controlled range are given. Modeling and calculations performedby the method of finite elements.

Keywords:
forced oscillations, foundation, turbogenerator, frequency response

Krasnikov S.V. Modeling of forced vibrations of the Foundation of Lugansk thermal power plant turbine generator. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 60-63.

In article some questions of the elementary theory of prime numbers are considered.

Keywords:
object, prime number

Deev V.M. Some of the questions the elementary theory of Prime numbers. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 45-46.

Mathematical model of strain rate deformation of construction elements under impulsive loadings ispresented. This model used dynamic properties of materials, finite deformations and three-dimensionelastic-plasticity deformations.

Keywords:
impulsive loadings, train rate deformation, dynamics properties of materials, coupled problem of thermal and stress – strain analysis of structures, plastic deformation

Nazarenko S.A. Some of the tasks high-speed loading of structural elements. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 102-107.

On the basis of the embedding method the solution of the non-stationary heat conduction problem in athree-dimensional formulation for laminated plates of complex shape in the plane by heating the interlayerfilm heat source is received. Comparison with results of other authors obtained by using othermethods is conducted. Calculation results of the thermal state of the five-layer plate of complex shapewith the interlayer film heat source in different times are given.

Keywords:
thermal conductivity, multilayer plate, complex shape, heat source

Svet E.V. The nonstationary problem of heat conduction in three-dimensional formulation for laminated plates with complex shape. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 122-131.

Mechanical system consists of hingedly supported medium-thickness rectangular plate with additionalconcentrated elastic support. The nonstationary concentrated load, which initiates vibration, is acting onthe plate. The inverse problem of an unknown loading identification is solving, when plate’s pointsdeflections in time are known. Also the possibility of elastic support stiffness determination is considering.

Keywords:
plate, nonstationary vibrations, inverse problem, identification, Volterra integral equation, regularization

Voropay A.V., Shupikov A.N. The inverse problem for articulated simply supported plate with additional elastic support under nonstationary loading. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 29-34.

The possible approach to the assessment of structural strength of inductors – the main elements of the technologicalsystems with magnetic-pulse processing of materials is described in the article The proposed method isbased on the joint modelling and analysis of distribution of electromagnetic and mechanical fields in systems«inductor-billet». Numerical analysis involves the use of the finite element method. For one class of inductorsystems of the influence of technological parameter (the value of the force of a current) on the efficiency of thetechnological cleaning operations and the structural strength of the inductor.

Keywords:
structural strength, pulse electromagnetic fields, inductor system, finite element method, stress-strain state

Lavinskiy D.V. One approach to the assessment of structural strength of the device for material processing by the forces of pulsed electromagnetic fields. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 64-69.

In clause the decision of non-stationary nonlinear problems termoviscoelastics is investigated at changeof property of materials under influence of temperature or time and the approach is applied to receptionof determining parities termoviscoelastics from positions of thermodynamics of irreversible processes.

Keywords:
termoviscoelastics, shear deform, polymethylmethacrylate

Babadzhanova V.G., Suleymanova V.A. Determination of parameters of the equation of state theory of thermoviscoplastic rheology of unspecified. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 17-24.

Considering the preliminary determination of the stability of oscillatory systems with n degrees of freedomon the basis of the structural theory, since the presence of positive feedbacks in the structures canlead to unstable operation modes of oscillatory systems.

Keywords:
oscillatory system, structure, stability, degree of freedom, transfers function

Bozhko A.E., Ivanov E.M., Ivanova Z.A. The definition of stability of oscillatory mechanical systems. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 24-28.

The paper researches the dynamic process of establishment and development scientific – pedagogicalactivity of professors of mechanics of NTU «KhPI» in the 19 – 21th century. It discovered and exploredthe main scientific trends of evolution of thermomechanics.

Keywords:
mechanics, statics, dynamics, scientific – pedagogical activity, higher technical education, coupled problem of thermal and stress – stain analysis of structures

Nazarenko S.A., Andreev A.G. The main work of scientists KPI in the area of thermal and stress analysis of structures. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 3-11.

The analytical and numerical studies of stress-strain state of pipeline with defect in its wall and repairlayer in place of defect are described. The study was conducted using the finite element software packageof engineering analysis. Results are presented as displacement vectors and distribution graphs ofequivalent stress. Comparative analysis of results of analytical solution of simplified one-dimensionalproblem and numerical calculations in volume formulation in case of elastic and viscoelastic propertiesof fiberglass are presented.

Keywords:
pipeline, layer, defect, stress concentrator

Lvov G.I., Martinenko V.G. The details of modeling and analysis of pipeline sections with operational defects and V ascorutinum repair pads. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 81-90.

An approach to modeling of ultrasonic welding process based on tribo-logical system, which is definedas a kind of logical-mathematical structure whose elements are subsystems materials, radiation, dynamics,internal friction, thermodynamics and proper ultrasonic tool. Describes the construction of the individualsubsystems and ultimately the formation of an essentially nonlinear process model.

Keywords:
tribological system, the high loading, ultrasonic welding, nonlinear mathematical model

Isakov S.N. Building a tribological system for ultrasonic welding. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 55-59.

The method for calculation of spatial cyclically symmetric structures with radial ribs was developed.The functionality of the proposed approach was checked and the accuracy of the results obtained from itwas confirmed. The relative values of strains and deflections of the ribbed plate obtained experimentally,close to the values found analytically and on the basis of the proposed approach. The analysis ofthe stress-strain state of the kaplan turbine lid was carried out on the basis of this method.

Keywords:
cyclically symmetric structure, stress-strain state

Shupikov A.N., Misyura C.Yu. Stress analysis of cyclically symmetric spatial structures. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 139-147.

The experimental investigations of the rotor dynamics of the model with the combined passive andactive magnetic suspension are described. The studies are performed using specialized hardware andsoftware. Results are presented as displacements of rotor bearings centers, their trajectories, spectrogramsand amplitude-frequency characteristics. Based on the analysis of experimental data the rotormodified construction is offered. It is possible to reduce oscillation amplitude values when rotationalspeeds are near-critical.

Keywords:
rotor dynamics, magnetic bearings, critical speed

Martynenko G.Yu. Experimental results and analysis of the dynamics of a model rotor in magnetic bearings of various types. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 90-101.

Rectangular plate of a polymeric material with holes investigated under uniform tension using straingage. The experimental results are compared with analytically and FEM.

Keywords:
strain gage, composite, fiberglass, strain, stress

Dariya Zade S. Experimental study of stress-strain state of fiberglass with one or two identical circular holes. NTU «KhPI» Bulletin: Series «Dynamics and Strength of Machines». 2013. No. 63. Pp. 35-45.