结构损伤识别的同步优化模式研究  

Research on Simultaneous Optimization Mode for Structural Damage Detection

作　　者：曾国华[1] 董聪[1] 

机构地区：[1]清华大学土木水利学院,北京100084

出　　处：《中国铁道科学》2008年第2期72-76,共5页China Railway Science

基　　金：国家自然科学基金资助项目(50278047);国家高技术研究发展"八六三"计划项目(2002AA615110)

摘　　要：结构损伤识别采用传统优化模式时,需要进行结构动力特征方程分析和动力参数灵敏度计算,求解过程复杂。从结构损伤演化的物理过程和测试误差角度出发,提出同步优化模式。以结构的损伤系数和动力参数为设计变量,将损伤系数在损伤状态与初始状态间的欧拉距离定义为目标函数,将结构动力特征方程及模态正交规格化条件转化为设计变量的等式约束,隐式动力参数约束简化成设计变量本身的界限约束。同步优化模式的算例识别表明,同步优化模式能够准确识别噪音下的结构单损伤和多损伤,且有着较好的收敛性能。整个求解过程无需进行结构动力特征方程的分析和动力参数灵敏度的计算,求解效率很高。Since computation on dynamic characteristic equations and sensitivities of dynamic parameters is needed, the solution process is complicated in traditional optimization formulation of structural damage detection. The physics evolution of structural damage and measured error are taken into consideration and then an equivalent optimization model is proposed. Structural damage coefficient and dynamic parameters are treated as design variables. Objective function is defined as damage coefficient＇s Euler distance between damage state and initial state. The structural dynamic characteristic equation and mass normalization are transformed to equality constraints. The implicit dynamic parameters constraints are simplified as explicit bound constraints. From the analysis of example in simultaneous analysis and design formulation, it is indicated that the single or multiple damage with measured noise can be detected accurately with good convergence. The efficiency of calculation process is high since it does not need any computation on dynamic characteristic equation and sensitivities of dynamic parameters.

关 键 词：无损检测 结构损伤 识别 优化方法 同步优化 

分 类 号：TU317[建筑科学—结构工程]