复杂条件下薄板动力问题的一种近似解法

介绍在各种复杂条件下，分析薄板振动特性的一个近似方法─—模态摄动法。这一方法是在等截面均匀板的模态子空间内实施，将复杂板的变系数偏微分方程的求解转化为代数方程组的求解。通过算例，表明这一方法简单实用，且能获得有良好精度的近似解

Approach to Solve Dynamic Problems of Complicated Plates

In this paper, a methed which may be called the methed of mode perturbation is developed to analyze the characteristics of complicated plates. In this method , the mode functions of the uniform plate with undetermined coefficients is substituted into the govening differntial equation with variable coefficients such that a solution of the algebric equations with undetermined coefficients is just required to solve for the problem. It is shown in several numerical examples that this method is simple, practicable and owns good precision.