结构损伤定位中模态应变能法的改进

Improvement of structural damage localization based on modal strain energy method

针对现有模态应变能法对结构有限元模型精度要求较高的不足,引入单元定位矩阵,对其进行了改进。改进后的方法损伤指标的构建不需要结构损伤前单元刚度矩阵,降低了对结构有限元模型的精度要求,并避免了由此产生的二次误差。为验证方法的有效性,利用简支梁有限元模型数值模拟了两种典型损伤工况,结果表明,改进后的方法提高了损伤定位的识别精度,并且计算简便,有望用于实际工程中。

The present modal strain energy method requires a precise finite element model. In view of this defect, an improved method is proposed. The improved method uses element localization ma- trix instead of element mass matrix and does not require element stiffness matrix. This method can reduce the requirement of accuracy of the finite element model and avoid the quadric error. In order to demonstrate the validity of the improved method, two typical the finite element model of a simply supported beam. The results proves the precision of damage damage cases were simulated using show that the proposed method im- localization and is easy to be carried out. It is expected that this mo- dal may have a potential in practical engineering.