用摄动法求解四边夹紧大挠度方板问题

Problem-solving of Large Deflection Square Plates under Four Sides Clamped by Perturbation Method

基于薄板非线性问题的卡门方程位移表达式,采用摄动法求解得出了四边夹紧的大挠度方板的位移计算公式,对工程中此类问题的计算有重要参考价值。本文在计算过程中,使用了数学计算软件M ap le7.0。

Basing on the displacement item of Karmen equations and adopting the perturbation method, the formula for the displacement of large deflection square plates under four sides clamped was given in the paper. The calculating results were of great value to the solution of some engineering problems. And the mathematic software Maple7.0 was applied to get the given calculation results.