中国空间科学技术

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再谈一类挠性结构的约束及非约束模态解法

陕晋军,刘暾,齐乃明,赵宝山   

  1. 哈尔滨工业大学,哈尔滨工业大学,哈尔滨工业大学,哈尔滨工业大学 哈尔滨150001 ,哈尔滨150001 ,哈尔滨150001 ,哈尔滨150001
  • 发布日期:2001-12-25

Re-discuss the Solution of Constrained and Unconstrained Mode for a Kind of Flexible Structure

Shan Jinjun Liu Dun Qi Naiming Zhao Baoshan (Harbin Institute of Technology, Harbin 150001)   

  • Published:2001-12-25

摘要： 对于均质挠性梁附着于中心刚体上 ,且挠性梁具有尖端质量和尖端转动惯量的结构 ,该文分析了其运动方程的约束模态和非约束模态解 ,分别得到了相应的振型函数和普遍的频率方程 ;在此基础上定量分析了约束模态和非约束模态的频率随不同挠性梁 /中心刚体惯量比的不同近似程度 ,为动力学建模和控制器设计提供了理论依据

关键词: 模态分析, 离散方法, 挠性结构

Abstract: Considering a kind of flexible structure, which has uniform flexible beam,attached to the center rigid body and there are point mass and point moment of inertia.The solution of constrained and unconstrained mode for the equations of motion is analyzed and the general equations of frequency are obtained.Based on these analyses, quantitative comparison between constrained and unconstrained mode frequency with different flexible/rigid body inertia is made.The theoretical basis for modeling and design of controller of such flexible system is provided.