变厚度矩形薄板的屈曲和自由振动问题

BUCKLING AND FREE-VIBRATION PROBLEMS OF THIN RECTANGULAR PLATES WITH THICKNESS VARIATION

本文用单三角级数把单向变厚度矩形板的屈曲和自由振动控制方程化为常微分方程特征值问题，转而采用ＣＤＥ求解器──插值矩阵法获解。本法求解简便、精度高。

In this paper, the governing differential equations of buckling and free -vibration of the thin rectangular plates with variable thickness are transformed to the eigenvalue problems of ordinary differential equations with one Fourier series,and therefore are solved by an ODE solver-interpolating matrix method. The suggested method is easy in use and of high accuracy.