摘要
文[1]用有限条法分析薄板弯曲时,将薄板分成若干条带,条的端部以振动梁函数等特殊函数为基函数,对不同的边界条件,取不同基函数,给计算和程序编制带来麻烦。本文将以切比雪夫多项式作为有限条端部的基函数,並通过建立边界约束方程来统一处理各种边界条件,边界约束方程可简化有限条的刚度矩阵,计算结果与理论解较吻合。
By the Finite Strip Method, the analysis of the bending of an elastic plate is done by dividing the plate into a number of strips and then the beam functions is used as the basic function for the strips which should adapt to various boundary conditions of the plate [1]. This is troublesome for the computation and for the programming. In this paper, the Chebyshev polynomial is used as the basic function of the strips and at the same time the constraint equations for the boundary conditions are established which in a unified way to dispose various boundary conditions. It is found that these contraint equations may simplify the stiff matrix of the Finite Strip Method. The computational results thus found coincide with the accurate results closely.
出处
《上海力学》
CSCD
1991年第3期36-43,共8页
Chinese Quarterly Mechanics
基金
上海市自然科学基金
