Abstract: In this paper,we overcome the difficulty of the trial function exactly satisfying force boundary conditions Mn=O by reducing the order of control equations and obtain an infinite set of nonlinear algebraic equations by Galerkin's method.These algebraic equations can be truncated to obtain the solution of any desired degree of accurary by Newton-Raphson method.

Key words: skew plate, nonlinear, Galerkin's solution

摘要： 本文首先将薄板弯曲的大挠度Von-Kárnán方程降价,以克服试函数难于满足简支边界力,边界条件M_n=0的困难。然后采用伽辽金法得到一组无穷阶的非线性代数方程组,将其截断后用Newton-Raphson法解之。

关键词: 斜板, 非线性, 伽辽金解