Title of the article

VIBRATIONS OF THE THREE-LAYERED CYLINDRICAL SHELLS IN THE ELASTIC WINKLER’S MEDIUM AT RESONANCE

Authors

Starovoitov E.I., Doctor of Physical and Mathematical Sciences, Professor, Head of the Department “Building mechanics”, UO “BelSUT”, Gomel, Republic of Belarus

Leonenko D.V., Doctor of Physical and Mathematical Sciences, Associate Professor, Professor of the Department “Building mechanics”, UO “BelSUT”, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Pleskachevsky Yu.M., Corresponding Member of the NAS of Belarus, Professor, Doctor of Technical Sciences, Chairman of the Presidium of the Gomel branch of the Belarusian National Academy of Sciences, Gomel, Republic of Belarus

In the section  
Year 2013 Issue 4 Pages 70-73
Type of article RAR Index UDK 539.374 Index BBK  
Abstract

The vibrations of the three-layered cylindrical shell in elastic medium under resonance load are considered. Kirchhoff-Love’s hypotheses are accepted for the thin isotropic bearing layers. The work of the in-plane shear, compression over thickness and variations in displacements are taken linear along the transverse coordinate for the thick filler the conditions of displacement continuity are not used on the contact boundaries. Reaction of the elastic medium is described in terms of the Winkler model. The investigation of variations in displacements under action of resonance uniformly distributed load is given as an example.

Keywords three-layer cylindrical shell, dynamics, elastic Winkler’s medium, resonance
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Bibliography
  • Vlasov V.Z., Leontev N.N. Balki, plity, obolochki na uprugom osnovanii. Moscow, Gos. izd-vo fiz.-mat. lit-ry, 1960. 491 p.
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Title of the article

COUPLED BEM AND FEM IN DYNAMIC ANALYSIS OF TANKS FILLED WITH A LIQUID

Authors

Ogorodnik U.E., Postgraduate Student, Acting Junior Researcher, Institute of Problems of Mechanical Engineering. N.A. A.N. Podgorny, Kharkov, Ukraine
Gnitko V.I., Candidate of Technical Sciences, Senior Researcher, Institute of Problems of Mechanical Engineering. N.A. A.N. Podgorny, Kharkov, Ukraine

In the section  
Year 2013 Issue 4 Pages 65-69
Type of article RAR Index UDK 539.3 Index BBK  
Abstract

In this paper the numerical procedure based on a coupling the finite element formulation and the boundary element method is developed for the forced vibration analysis of shells of revolution partially filled with the fluid. We obtained numerical results for dynamic problems for the cylindrical and conical shells interacting with a liquid both in the absence of the disturbing force (free vibrations) and with given external dynamic effects (forced vibrations). For cylindrical shell we investigate the influence of different filling levels. And for conical shell the research was carried out concerned with varying cone slope and its influence on displacements.

Keywords free vibrations, forced vibrations, fluid-structure interaction, FEM and BEM
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Bibliography
  • Amabili M., Paidoussis M.P. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction. Applied Mechanics Review, 56(4), 2003, pp. 349-381.
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Title of the article

NATURAL VIBRATIONS OF THE THREE-LAYERED CYLINDRICAL SHELLS IN THE ELASTIC PASTERNAK’S MEDIUM

Authors

Leonenko D.V., Doctor of Physical and Mathematical Sciences, Associate Professor, Professor of the Department “Building mechanics”, UO “BelSUT”, Gomel, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section  
Year 2013 Issue 4 Pages 57-59
Type of article RAR Index UDK 539.3 Index BBK  
Abstract

The natural vibrations of the three-layered cylindrical shell are considered. Love’s hypotheses are accepted for the thin isotropic bearing layers. The work of the in-plane shear, compression over thickness and variations in displacements are taken linear along the transverse coordinate for the thick filler the conditions of displacement continuity are not used on the contact boundaries. The deformations are small. Inertial medium is described by a Pasternak’s model. The natural frequencies of the "shell - medium" are investigated as dependent on characteristics of the medium.

Keywords three-layer shell, natural frequencies, elastic Pasternak’s medium
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Bibliography
  • Pleskachevsky Ju.M., Starovojtov Je.I., Leonenko D.V. Mehanika trehslojnyh sterzhnej i plastin, svjazannyh s uprugim osnovaniem [Mechanics of sandwich rods and plates, connected with elastic base]. Moscow, FIZMATLIT, 2011. 560 p.
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Title of the article

SIMULATION OF FREE VIBRATIONS OF MULTI-WALLED CARBON NANOTUBE BASED ON NON-LOCAL THEORY OF THIN ELASTIC ORTHOTROPIC SHELLS

Authors

Mikhasev G.I., Doctor of Physical and Mathematical Sciences, Professor, Head of the Bio- and Nanomechanics Department, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.
Sheiko A.N., Master's student, Bio- and Nanomechanics Department, Belarusian State University, Minsk, Republic of Belarus

In the section  
Year 2013 Issue 4 Pages 60-64
Type of article RAR Index UDK 539.3 Index BBK  
Abstract

The mathematical model of multi-walled carbon nanotube embedded in an elastic matrix is proposed. The effect of the surrounding elastic medium are considered using the Winkler-type spring constant. The tube may be prestressed by external forces. The Flugge type equations for orthotropic cylindrical shells, including the initial membrane hoop and axial stresses, are used as the governing ones. The constitutive equations are formulated by considering the small-scale effects. The dependence of natural frequencies upon a number of waves in the longitudinal direction, tube length and the motion directions of walls as well is studied.

Keywords multi-walled carbon nanotube, nonlocal theory of elasticity, van der Waals forces, equations of motion, free vibrations
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Bibliography
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Title of the article

ALTERNATIVE VARIANT FOR THE EXPLICATION THE REASON FOR HARD EXCITATIONS OF OSCILLATIONS IN THE PROBLEM OF THE NONLINEAR PANEL FLUTTER

Authors

Kulikov A.N., Associate Professor of the State University n.a. P.G. Demidova, Yaroslavl, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

In the section  
Year 2013 Issue 4 Pages 51-56
Type of article RAR Index UDK 533.6013.42:42.534.1 Index BBK  
Abstract

A well know problem of oscillations for plate in ultrasonic gas flow in considered if the damping coefficient is sufficiently small. It is shown that the resonances 1:1, 1:2, 1:3 of proper frequencies lead to the appearance of unstable oscillations for those velocities of the flow for which the state of equilibrium remains stable. The investigation of the nonlinear value boundary problems does not use Galerkin’s method.

Keywords nonlinear panel flutter, value boundary problem, stability, resonances, hard excitation of oscillations, bifurcations
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