基于残余力向量的连续梁损伤直接识别法

A direct damage identification method for continuous beam based on residual force vector

为直接识别出基于残余力向量法的连续梁结构损伤,提出先由灵敏度分析求得结构刚度联系矩阵,再由结构刚度联系矩阵将损伤结构的刚度摄动矩阵展开,得到新的结构残余力向量方程,通过求解此方程即可识别出连续梁结构的损伤位置和程度,进一步运用所提出方法对七跨连续梁结构进行损伤识别,结果表明,识别精确度较高,从而验证了该方法的有效性。

In order to identify the damage to a continuous beam based on residual force vector, the stiffness connectivity matrix of the continuous beam is obtained by the sensitivity analysis, the stiff-ness perturbation matrix of the damaged beam can be expanded with the stiffness connectivity ma-trix, and a new residual force vector equation is obtained. The location and extent of damage in the beam can be identified by solving this equation. The proposed method was used to identify the dam-age of a seven-span continuous beam, and the results show that identification accuracy is high, which verifies the validity of this proposed method.