梯形板在非保守力下的稳定性分析

The Vibration and Stability of Non Conservative Trapezoidal Plates

对受切向均布随从力作用的梯形薄板，用仿射变换把它转化成正方形板，然后对变换后的拟固有频率变分式使用Ｒｉｔｚ法得到了特征方程。作为算例计算了四边简支菱形板的自振频率和临界载荷。

Trapezoidal plates subjected to the uniformed follower forces are transformed to square plates by using coordinate transformation, and based on variational principle for the transformational quici natural frequency the corresponding eiqenequation are obtained by Ritz method. The critical load and natural frequency of rhombus plates with simply supported at all edges are calculated.