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Steady longitudinal vibrations of inhomogeneous compound plates

Journal of Mathematical Sciences, 1995
We use the perturbation method to solve the problem of steady longitudinal vibrations of compound plates made of materials with variable mechanical characteristics. We study the influence of the degree of inhomogeneity of the properties of the material on the stress state of a plate consisting of two regions.
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Steady planar vibrations of an isotropic body with cavities

Journal of Mathematical Sciences, 1995
We solve the planar-deformation problem for a multiconnected isotropic body deformed by a pulsing load. For a circular cylinder with a circular central cavity we give the results of numerical studies of the stress distribution and the frequencies of the natural axisymmetric vibrations.
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On the steady-state transverse vibrations of a cracked plate

Engineering Fracture Mechanics, 1968
Abstract Using an integral formulation, the equation for a plate subjected to periodic transverse vibrations of frequency ω and containing a crack of length 2c, is solved for the Kirchhoff bending stresses. The usual inverse square root singular behavior of the stresses is recovered and may be related to that of non-vibrating cracked plate by ...
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On the problem of steady vibrations of a plane with a slit

Journal of Applied Mathematics and Mechanics, 1975
Velikotnyj, A. V., Smetanin, B. I.
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Steady-state vibrations of offshore structures

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1996
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