基于奇异值分解和时域灵敏度分析的框架结构损伤识别方法

Damage Detection Method of Frame Structure Based on Singular Value Decomposition and Time Domain Sensitivity Analysis

框架结构是土木工程中最常见的结构形式之一,该类结构的损伤识别问题已经成为目前的研究热点。为解决框架结构的损伤识别结果受测量信号噪音影响的问题,本文基于时域测量信号的奇异值分解结合时域灵敏度分析,进行了框架结构的损伤识别研究。通过奇异值分解得到时域测量信号中受测量噪音影响较小的成分,利用奇异值分解的正交性对时域灵敏度方程进行正交投影,得到改进的时域灵敏度损伤识别方程。建立框架结构有限元模型,对其进行损伤识别的数值模拟研究,验证本文提出的损伤识别方法的有效性。

The damage detection for the frame structure, which is a classical structure form in civil engineering, has become a hot issue recently. To reduce the measurement noise effect in the damage detection result, the singular value decomposition (SVD) method and time domain sensitivity analysis method were adopted to study the damage detection of the frame structure. The components, which are less affected by the measurement noise, were obtained from the measured responses by SVD, and the time domain sensitivity enhancement equation of damage detection was proposed based on the orthogonal characteristic of SVD and projection method. The simulation study was performed based on the finite element model of a frame structure, and the effectiveness of the proposed method was verified.