基于复域灵敏度分析技术,提出了静力模型修正方法。利用复变量求导法建立了模型修正过程中参数灵敏度的高精度计算方法,给出了基于静力测试信息的模型迭代修正格式。对基于模态特性测量信息的模型修正过程,通过引入特征载荷的方法,把动力特性模型的修正转化为静力模型修正。推导了模型修正过程中测量误差对参数修正结果影响的误差估计公式,便于对修正结果进行可靠性评估。数值算例表明本文建立的修正方法可以高效地实现多参数模型的修正。对润扬大桥悬索桥桥塔模型进行了修正,结果表明该文的方法在修正结果精度和模型关联性方面是有效可靠的。
A robust static model updating method is proposed with complex domain sensitivity analysis. Basing on the complex variable partial differential method, an accurate algorithm was developed for parameter sensitivity analyzing during model updating. An iterative pattern was established for model updating with static measured data. With considering modal character forces, modal dynamic finite element model was equivalent to a static model for updating. Formulations of error estimates are derived for the model updating algorithm stability analysis. The numerical examples show that the developed method could efficiently update multiple and/or nonlinear parameters. The finite element model of Runyang suspension bridge tower was updated with the proposed method. The identified parameters are more accurate, and the correlation between the updated model and actual structure is much higher.