Abstract: This paper gives a finite prism superposition solution for a rectangular thick plate and thick plate with circular holes on elastic foundation. This method takes simply supported and sliding clamped structures as basic structures whose stiffness matrixes often have a very narrow bandwidth, thus significantly reducing the computational effort and storage requirements of three-dimensional analysis compared with three-dimensional finite element. In this method,a program has been developed. The prism element includes rectangular four-node-line prism and triangular three-node -line prism as well as eight-node-line isoparametric prism. The correctness of the method and program has been proved by many examples and tests.

Key words: thick plate on elastic foundation, thick plate with circular holes, finite strip method

摘要： 本文提出了弹性地基上水泥混凝土厚板和空心厚板的有限棱柱迭加解法。这种迭加解法以简支结构和滑支结构作为基本结构。其刚度矩阵均为对角带状矩阵,这种迭加解法与三维有限元方法相比较,具有少占内存,可在微机上实现的优点。具体研究了三种棱柱条元的应用,并编制了计算机程序。大量算例和试验结果都证明了本文方法和计算机程序的正确性。

关键词: 弹性地基厚板, 空心板, 有限条法