Symplectic Superposition Method for Benchmark Flexure Solutions for Rectangular Thick Plates
Symplectic Superposition Method for Benchmark Flexure Solutions for Rectangular Thick Plates
复制标题
DOI：
10.1061/(asce)em.1943-7889.0000840
复制
发表时间：
2015-02
期刊：
影响因子：
--
通讯作者：
Rui Li;Xiaoqin Ni;G. Cheng
中科院分区：
文献类型：
--
作者：
Rui Li;Xiaoqin Ni;G. Cheng
本文采用Hamilton体系中的辛叠加法，得到了四边固支和四边简支矩形厚板以及悬臂矩形厚板的基准弯曲解。该方法提供了一个合理的方法来获得足够精确的解决方案，厚板问题，这可以产生更多的基准解决类似的问题。全面的数值结果，为未来的各种近似/数值方法的验证。
AbstractBenchmark flexure solutions for rectangular thick plates with combinations of clamped and simply supported edges, as well as for cantilever rectangular thick plates, are obtained by using an up-to-date symplectic superposition method in the Hamiltonian system. The method developed offers a rational way to obtain sufficiently accurate solutions to thick-plate problems, which can yield more benchmark solutions to similar problems. Comprehensive numerical results are presented for the future validation of various approximate/numerical methods.