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简支多边形薄板双调和定解问题可分解为二个互不耦合的Poisson方程的定解问题,通过比拟,可用二维平面应力(应变)单元进行有限元分析。数值算例表明,本文采用的方法在较粗的网格下即可得到较高的精度,而且具有速度快、占用计算机内存少等优点。
The problem of biharmonic solution of simply supported polygonal thin plates can be decomposed into two solutions to the Poisson equation with no mutual coupling. By comparison, two-dimensional plane stress (strain) elements can be used for finite element analysis. The numerical example shows that the method adopted in this paper can get higher precision under the coarser grid, and has the advantages of fast speed and less occupied computer memory.