摘要
前言早在七十年代人们就把一元样条应用于求解板弯曲问题,建立了样条有限元法。它的独特优点是使得解题规模缩小(从而减少计算量及内存),而且精度高,其缺点是只适用于一些特殊区域及边界条件。[1]用一元B样条的张量积处理了矩形板和菱形板的问题。
In this paper, a finite element method based on bivariate cubic B-spline is presented to obtaining an approximate solution for the bending problem of paraller hexagonal plates with clamped boundary condition. A computational scheme is derived, and is easily carried out by a computer. The solutions of the bending problems of triangular plate, parallelogram plate, trapezoidal plate and some pentagonal plates are given as its particular cases. In comparison with the usual nodal finite element method, the main features of the present method are higher accuracy and more economy in computing storage and time requirements. Several numerical results are also given.
出处
《数值计算与计算机应用》
CSCD
北大核心
1991年第2期102-113,共12页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金
