正则化模型修正法在桥梁损伤识别中的应用

Structure Damage Identification by Finite Element Model Updating with Tikhonov Regularization

以基于灵敏度分析的有限元模型修正方法为基础,结合Tikhonov正则化方法,将利用模型修正来识别桥梁结构损伤的反问题转化为一个标准的、带置信区间的非线性最小二乘优化问题求解,并最终确定结构的损伤位置与程度。以简支桥梁模型为例的损伤识别数值模拟表明,正则化方法的引入可有效恢复模型修正过程的适定性,显著降低噪声的影响,避免损伤误判的出现。

Based on sensitivity analysis,the finite element model updating method with tikhonov regularization is applied to bridge damage identification.A normal nonlinear least square optimization problem with trust region is derived from the original ill-posed one and is solved to identify the damage location and extent.The numerical simulations show that sensitivity-based model updating process with tikhonov regularization can reduce the affection of measurement noise to avoid the misjudgment of structure damages.