用能量配点法解斜板的自由振动

The Collocation of Energy Method to Solve Free Vibrations of Skew Phates

本文推导斜坐标系弹性斜板的变分泛函,然后采用适合边界条件的双重幂级数,在区域内部配点得出求解的矩阵方程。在变截面和突变截面斜板以及等截面斜板都可求解。

This papar derived the functional variational for skew plates in skew coor-dinates system.By using Double Power Series in cpmply with suitable boundaryconditions and collocation in internal region gave the solutions of matrix equa-tions.This method is applicable in solving problems regarding skew plates ofequal depth and variable depth and stepped depth.