结构动力模型的改进直接修正方法及工程应用  

An improved direct method for dynamic model updating and its practical engineering applications

作　　者：杨朋超 薛松涛[1,2] 谢丽宇 YANG Pengchao;XUE Songtao;XIE Liyu(College of Civil Engineering,Tongji University,Shanghai 200092,China;Department of Architecture,Tohoku Institute of Technology,Sendai 982-8577,Japan)

机构地区：[1]同济大学土木工程学院,上海200092 [2]东北工业大学建筑系,宫城仙台982-8577

出　　处：《建筑结构学报》2021年第3期34-40,共7页Journal of Building Structures

基　　金：政府间国际科技创新合作重点专项(2016YFE0127600);国家自然科学基金项目(51778490)。

摘　　要：直接模型修正方法是一类经典的解析动力模型修正技术,该方法具有计算高效和精确匹配目标模态参数等优点,但仅考虑与频率和振型相关的约束,导致修正模型预测的模态参与因子与实际识别值存在差异。针对该模态参数匹配不完备问题,提出了一种改进的直接模型修正方法。改进方法考虑模态参与因子在质量矩阵中的修正,采用约束最小化技术,推导了质量矩阵的最优解,并结合已有的刚度矩阵修正技术实现结构模型修正。以一栋实际消能减震建筑结构为应用对象,利用结构地震监测数据估计的模态参数,采用改进方法修正结构初始有限元模型,验证了改进修正方法的准确性。The classical direct updating methods are analytical-type techniques for dynamic model updating of structures. These methods have a computationally efficient feature of requiring no iteration computations,and the resulting model can accurately predict the target modal parameters. However,under updating constraints related only with natural frequencies and mode shapes,the predicted modal participation factors of the classical methods,a byproduct,usually deviate from the identified values. To resolve such incomplete-matching problem,an improved direct model updating method was proposed. This improved method takes the modal participation factors into consideration in the mass matrix updating,and adopts the constrained minimization theory for deriving the optimal solution for the mass matrix. In addition,the proposed method was combined with the existing techniques for the stiffness matrix updating to achieve the ultimate goal of model updating for structures. The validation of the proposed method was varifed in the finite element( FE) model updating of a real-world passively controlled building,using its estimated modal parameters from a set of earthquake measurements.

关 键 词：模型修正 约束最小化 模态参与因子 消能减震结构 地震监测数据 

分 类 号：TU311[建筑科学—结构工程]