求解转子系统突加不平衡响应方法的研究

A Study on Solution of Suddenly Applied Unbalance Response of a Rotor-Support System

本文提出并研究了用传递函数分析法求转子系统的突加不平衡响应,讨论了求这一响应的最佳数值积分方法。用本文提出的理论解方法及三种常用的数值积分法:尤拉后差法,纽马克法,及呼伯特法,对一模型转子算例进行了分析计算,结果表明;尤拉后差法最适用于求转子系统的突加不平衡响应。本文提出的传递函数分析法,可以和试验模态分析方法相结合,以求解复杂转子系统的突加不平衡响应。

A transfer matrix analysis method for solving the suddenly applied unbalance response of rotorsupport systems is proposed and the optimal numerical integration method for this response is discussed in this paper. An example, a model rotor system, is numerically analyzed by above mentioned theoretical solution and three general numerical integration methods the Euler backward difference method, Newmark method and Houbolt method. The results show that the Euler backward difference method is most suitable for solving the suddenly applied unbalance response of a rotor-support system. The transfer matrix analysis method proposed in this paper can be used to combine with the experimental modal analysis method to solve the suddenly applied unbalance response of a complicated rotor system.