脱层复合材料梁的多参数振动反分析

INVERSE ANALYSIS OF Multiple Parametric VIBRATION of Composite Beams with Delamination

本文研究了具任意脱层复合材料梁的多参数振动反分析。基于弹性理论建立了考虑横向剪切变形时复合材料脱层梁的基本方程式。对脱层梁进行了分区处理，方便地描述了脱层长度、脱层位置。利用边界条件、区间位移连续性条件和弯矩剪力平衡条件建立了反分析的特征方程式。由系统的特征方程式求出主要参数的初值，采用逐步搜索的方法，利用一阶振型振幅比值之方差为最小，求出其余待定参数。为工程无损检测提供理论依据。

Inverse analysis of multiple parametric vibration of composite beam with across-the-width delamination is investigated. The basic equations, including the transverse shear, are built on the basis of elastic theory. The different sizes and position of delamination are described easily because of the beam being divided into regions. The characteristic equations in inversion are established by using the boundary conditions, continuous conditions of the displacements and equilibrium conditions of the shearing force and moment in teach region. The initial value of the main parameter is inversed by the characteristic equations and the other parameters are given by searching step by step and making the minimum of the square root of the square difference of the vibrative amplitude. The theory and method are the basis of non-destructive test in engineering.