Influence of the edge-boundary conditions on three-dimensional free vibrations of isotropic and cross-ply multilayered rectangular plates
Influence of the edge-boundary conditions on three-dimensional free vibrations of isotropic and cross-ply multilayered rectangular plates
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DOI：
10.1016/j.compstruct.2010.11.010
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发表时间：
2011-07
影响因子：
6.3
通讯作者：
A. Messina
中科院分区：
文献类型：
--
作者：
A. Messina
本文分析了不同边界条件对正交铺设各向同性多层叠层矩形板自由振动的影响。分析是在全三维弹性理论的框架内通过一个公式进行的，该公式仅基于假设位移;该公式以统一的方式提出了其相关目标，而不管层压板的堆叠模式的性质（各向同性，单层或多层）。的配方的分析和/或数值性能相比，通过精确的三维理论和/或其他研究人员通过替代配方实现的少数现有的结果。收敛性分析进行了特征值，位移和应力场，以描述的能力，制定相比，精确的三维结果。分析揭示了一个有趣的依赖的边缘边界条件，并强调需要进行更深入的调查，即使某些经典的边界条件考虑到通过最现代的电子计算机。
This paper analyses the influence of different sets of edge-boundary conditions on the dynamics of freely vibrating isotropic and cross-ply multilayer laminated rectangular plates. The analysis is carried out within the frame of the full three-dimensional theory of elasticity through a formulation which is based on assumed displacements only; this formulation presents its relevant objectives in a unified manner, regardless of the nature of the stacking patterns of the laminated plates (isotropic, single layers or multi-layers). The analytical and/or numerical performance of the formulation is compared to those few results achievable through the exact three-dimensional theory and/or to those few existing results achieved by other researchers through alternative formulations. Convergence analyses are carried out on eigenvalues, displacement and stress fields in order to describe the capability of the formulation when compared to the exact three-dimensional results. The analysis reveals an interesting dependence on the edge-boundary conditions and highlights the need to carry out deeper investigations even though certain classical boundary conditions are taken into account through the most modern electronic computers.