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  1. (西安电子科技大学 机电工程学院,陕西 西安 710071)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-04-20 发布日期:2008-03-28
  • 通讯作者: 陈龙

Eigenvalues analysis of the vibration control system with stochastic parameters

CHEN Long;CHEN Jian-jun;MA Juan;ZAHNG Xue-feng

  1. (School of Mechano-electronic Engineering, Xidian Univ., Xi′an 710071, China)
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-04-20 Published:2008-03-28
  • Contact: CHEN Long

摘要: 以物理参数为随机变量的结构为研究对象,从随机结构刚度矩阵和质量矩阵中提取出随机因子并将其引入振动控制方程,用随机因子来表示控制方程中参数的随机性.并利用代数综合法推导出振动控制特征值的均值和方差的表达式.同时,应用3σ准则对随机结构振动控制的稳定性进行了分析,得出了稳定性的判据.通过一个悬臂梁的算例表明,弹性模量对振动控制闭环特征值的影响要大于质量密度的作用,表明了文中方法的可行性.

关键词: 随机参数, 振动控制, 随机因子, 特征值分析, 稳定性

Abstract: Considering the randomness of structural physical parameters, after the random factor abstracted from the stiffness matrix and the mass matrix, the random factor is introduced into the vibration control equation and the randomness of parameters in the vibration control equation is represented by the random factors. By using the algebra synthesis method, the mean value and the standard variance of the eigenvalues of the vibration control equation are developed. The closed-loop stability of the vibration control equation of random structures is discussed and the stability criterion is obtained with the 3σ criterion. Finally, an example of the cantilever beam is used to illustrate the feasibility of the method given, which shows that the effect of the elastic Young’s modulus on the eigenvalues is greater than that of the mass density.

Key words: stochastic parameters, vibration control, random factor method, eigenvalues analysis, stability


  • TP13