粘弹性阻尼结构系统振动特性的迭代分析

含粘弹性阻尼材料结构系统的振动特性分析是相当复杂的,求解比较困难,本文给出了一种有效的迭代解法。文中首先定义了广义Rayleigh商,指出求广义Rayleigh商的驻值问题等价于原特征问题的求解;由近似估计得到的特征向量,广义Rayleigh商给出一个较好的特征值近似估计。据此构造了迭代方法,并成功地计算了一些例子。

Iteration Analysis for the Vibration Characteristics of the Viscoelastic Damping Structure Systems

It is very complex and difficult for the viscoelastic damping material structure systems to analyze their vibration characteristics. An effective iteration method is given in this paper. The term "Generalized Rayleigh Quotient" is firstly defined. It is indicated that the stationary value problem of the Generalized Rayleigh Quotient is equivalent to the solution of the original eigenproblem. A better approximate estimation of eigenvalue can be get by the Generalized Rayleigh Quotient using an approximate estimation of eigenvector. Based on that, an iteration method is constructed and some numerical examples are calculated.