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A coupled BEM-stiffness matrix approach for analysis of shear deformable plates on elastic half space

机译：耦合BEM-刚度矩阵方法分析弹性半空间上的可变形板

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摘要

In this paper, a new direct Boundary Element Method (BEM) is presented to solve plates on elastic half space (EHS). The considered BEM is based on the formulation of Vander Weeen for the shear deformable plate bending theory of Reissner. The considered EHS is the infinite EHS of Boussinesq-Mindlin or the finite EHS (with rigid end layer) of Steinbrenner. The multi-layered EHS is also considered. In the present formulation, the soil stiffness matrix is computed. Hence, this stiffness matrix is directly incorporated inside the developed BEM. Several numerical examples are considered and results are compared against previously published analytical and numerical methods to validate the present formulation.
机译：在本文中，提出了一种新的直接边界元方法（BEM）来求解弹性半空间（EHS）上的板。所考虑的BEM是基于Vander Weeen对于Reissner的剪切变形板弯曲理论的公式。认为的EHS是Boussinesq-Mindlin的无限EHS或Steinbrenner的有限EHS（具有刚性端层）。还考虑了多层EHS。在本公式中，计算土壤刚度矩阵。因此，该刚度矩阵直接包含在已开发的BEM中。考虑了几个数值示例，并将结果与​​以前发布的分析和数值方法进行比较以验证本配方。

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