结构损伤识别的截断总体最小二乘法

Structural Damage Identification by the Truncated Total Least Squares Technique

基于特征对灵敏度分析,并结合总体最小二乘法,提出了一种用于结构损伤识别的截断总体最小二乘法,主要用来解决实际结构损伤识别过程中出现的病态方程组问题。以一个平面桁架结构为例,验证该方法的有效性。结果表明:在测试数据不完备的情况下,所提方法对于测试噪声仍然具有较强的鲁棒性,可供实际工程应用参考。

A method is proposed to identify structural damages based on the eigen parameter sensitivity analysis and the truncated total least squares method.The goal of this study is to solve the ill-posed least squares problem occurred in the structural damage identification due to the data missing and measurement noise.The effectiveness of the proposed method is illustrated using simulated data on a plane truss structure.The results show that the proposed method has good robustness under measurement noise and is suitable for practical engineering applications.