弹性体振动微扰分析的变分形式

THE VARIATIONAL METHOD OF PERTURBATION ANALYSIS OF VIBRATIONS OF ELASTICAS

弹性结构的刚度和质量分布的微小变化,会引起固有频率的微小变化。本文采用小参数法和变分原理相结合的方法分析固有模态的微扰。这比微分方程法和矩阵方法简单、直观,所得结果也更具有普遍性。

The perturbations of stiffness and mass distribution of elasticas can induce the perturbations of its natural frequencies. In this paper, the perturbations of natural frequencies and modes of elasticas were analyzed. using variational method combined with perturbation method. It is more simple and generalized than differential and matrix method.