基于特征解统计特性的桥梁损伤识别

Damage identification of bridge structure based on statistical properties of eigen-solution

提出了一种用灵敏度矩阵识别桥梁损伤的方法。该方法在求取模态参数对结构物理参数灵敏度矩阵时采用基于振动分析的矩阵摄动理论,避免了求解过程中的偏微分计算,因此更容易形成结构灵敏度矩阵。为了评定此桥梁损伤识别方法的稳定性,在模态参数带有一定的随机误差的情况下,分析了这种桥梁损伤识别方法的结构物理参数的统计特性。最后以一简支钢筋混凝土桥梁为例,证明了该方法的有效性、实用性和稳定性。

A method to identify the damage of the bridge structure using the sensitivity matrix of the modal parameters with respect to the physical parameters of the structure on the basis of the matrix pertubation theory in the vibration analysis. This method is convenient in formation of the sensitivity matrix of the structure because of no need of the partial derivative calculations. To evaluate the stability of the proposed method, the statistical properties of the physical parameters of the bridge structure were analyzed under the model parameters with random errors. The validity, the practicability and the stability of the method were demonstrated by a simply supported reinforced concrete bridge as an example.