随机参数比例阻尼振动系统的特征值分析

Eigenvalue Analysis of Random Parameters Proportionally damped Vibratory Systems

该文采用矩阵的Ｋｒｏｎｅｃｋｅｒ乘积，对离散振动系统系统参数发生随机变化时的特征值进行了分析与探讨。主要分析比例阻尼离散振动系统，与常用的ＭｏｎｔｅＣａｒｌｏ数字模拟方法相比较，该方法具有相当的准确度，且避免了繁琐的迭代计算，具有速度快的优点。文中对单自由度和二自由度振动系统实例进行了数值计算，并与ＭｏｎｔｅＣａｒｌｏ数字模拟结果进行了比较，结果表明，符合情况良好。

This paper presents a Kronecker product technique used to investigate the proportionally damped discrete vibratory systems’ eigenvalues.Compared with Monte Carlo simulation,the proposed method is more accurate,fast and without a great deal of iterations.In the paper,application of the proposed method is demonstrated by single and two degree freedom systems’ computation.It is seen that the results are in good agreement with the results yielded by Monte Carlo simulation.Finally,the author analyses the advantages and disadvantages of this method.