弹性机构运动微分方程的广义复模态解法

A Generalized Complex Modal Analysis for the Vibration Response of Flexible Mechanisms

本文将结构振动分析中的广义复模态理论应用于机构的运动弹性动力学分分,给出了求解弹性机构一般多自由度非对称线性时变振动系统的解耦算法.用它求稳态解,可归结为求解以与机构的一系列离散位置的状态变量相对应的复模志坐标为未知量的线性代数方程组.

A new algorithm for solving the vibration response of flexible mechanisms is proposed using the generalized complex modal approach in structural dynamics. A decoupling algorithm for solving a time-variant general unsymmetric vibration system of multi-degree-of-freedom with flexible mechanism is given. The steady-state response of flexible mechanisms can be obtained by just solving the linear algebraic equations in which the complex modal coordinates corresponding to state variables for a series of discrete positions of flexible mechanisms are unknown.