N. V. Grigorevskiy, A. V. Zemskov, A. V. Malashkin
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引用次数: 0
Abstract
We consider the unsteady problem of bending a homogeneous orthotropic hinged Timoshenko elastic-diffusion plate under the action of a mechanical load distributed over the surface. The initial mathematical formulation of the problem includes the system of elastic-diffusion equations for a continuum, which takes into account the finite propagation velocity of diffusion perturbations. The equations of unsteady elastic-diffusion vibrations of the plate are obtained from the equations for a continuum using the generalized principle of virtual displacements and hypotheses of Timoshenko’s theory. The solution is sought using the Laplace transform and expansion into Fourier series. The originals are found analytically using residues and tables of operational calculus.
期刊介绍：
Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.
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