一维格子结构动力分析的传递矩阵法

本文将传递矩阵法推广应用于分析一维格子结构的波传播和动力响应特性。一个格子结构的元件可分为主元件和次元件,传递矩阵沿主元件形成并考虑次元件的作用。文中通过例子说明形成一个周期单元传递矩阵的方法,指出利用传递矩阵计算无限或半无限长格子结构波传播的传播常数及有限长格子结构固有频率和频率响应函数的方法。作为数例,文中计算了一维平面格子结构的传播常数和频率响应函数。

The Transfer Matrix Method For Dynamic Analysis of One-dimensional Lattice structures

The transfer matrix method is generalized to analyse the dynamic behavior of one-dimensional lattice structures of any complexity. The components of a lattice structure are divided into primary and subsidiary ones. The matrices are formed for primary components with the effects of subsidiar ones taken into account. An example is given to show the technique. Then the transfer matrix for one bay of a lattice structure is used to evaluate the propagation constants of infinite or semi-infinite lattice structures and natwral frequencies and frequency response function of finite lattice structures. Finally, numerical solutions of propagation constants and frequency response functions for a planar lattice structure are given.