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Unsteady Elastic Diffusion Vibrations of an Orthotropic Rectangular Kirchhoff–Love Plate Considering a Diffusion Fluxes Relaxation
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-09-05 , DOI: 10.1134/s1995080221080333 A. V. Zemskov 1, 2 , D. V. Tarlakovskii 1, 2
中文翻译:
考虑扩散通量弛豫的正交各向异性矩形 Kirchhoff-Love 板的非定常弹性扩散振动
更新日期:2021-09-06
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-09-05 , DOI: 10.1134/s1995080221080333 A. V. Zemskov 1, 2 , D. V. Tarlakovskii 1, 2
Affiliation
Abstract
In this paper, the unsteady vibrations of an ortotropic rectangular Kirchhoff–Love plate are studied. In general formulation, the plate is under the action of longitudinal and transverse forces, bending and torque moments. It also set a diffusion fluxes density and a diffusion fluxes relaxation. The coupled elastic diffusion orthotropic multicomponent continuum model has been used to formulate the problem. The d’Alembert variational principle has been used to obtain the plate transverse elastic diffusion vibrations equations from the model.
中文翻译:
考虑扩散通量弛豫的正交各向异性矩形 Kirchhoff-Love 板的非定常弹性扩散振动
摘要
在本文中,研究了正交正交矩形 Kirchhoff-Love 板的非定常振动。在一般公式中,板在纵向和横向力、弯矩和扭矩的作用下。它还设置了扩散通量密度和扩散通量弛豫。耦合弹性扩散正交各向异性多分量连续介质模型已被用于表述该问题。d'Alembert 变分原理已被用于从模型中获得板横向弹性扩散振动方程。