框架结构损伤识别的改进直接解析法  

Improved directly analytical method for damage identification of frame structures

作　　者：杨佑发[1] 梁文广[1] 

机构地区：[1]重庆大学土木工程学院,重庆400045

出　　处：《地震工程与工程振动》2010年第5期80-86,共7页Earthquake Engineering and Engineering Dynamics

基　　金：重庆市科技攻关计划项目(2009AB0040)

摘　　要：在一般直接解析法的基础上进行模态截尾误差的改进,从而大大降低了测量模态数目,而且识别效果也很好,但迭代次数多且收敛比较慢,本文通过改进方程解法来提高其速度。作者将约束最小二乘法迭代迅速的特点和极小最小二乘法搜索寻优功能相结合,提出了一种混合迭代求解方法,改进的方法充分组合了一般方法的搜索能力强和约束最小二乘法求解精度高的优点,从而解决了改进模态截尾误差后迭代收敛慢的问题。通过对五层两跨的平面框架结构进行损伤识别数值模拟分析后表明改进的方程解法是有效的,与一般的方法相比,算法收敛速度明显加快,求解精度明显提高,验证了改进后方法的可行性与准确性。A directly analytical method for structural identification is derived by sensitivity theory and iteration theory.Improving modal truncation error in the directly analytical method for damage identification of frame structures could greatly reduce the measured mode number,and the result accuracy is very good,but the iteration number is large and the convergence is relatively slow.This paper presents an improved direct analyzing method of structural identification to increase the iteration speed.Combining the constrained least square method with the minimal least square method,the mixed iteration with least square method for directly analytical method is presented according to the characteristics of the basic equation of directly analytical method.The precision of the mixed iteration method is higher than that of others.The arithmetic convergence speed is obviously increased.A numerical simulation example of a five-storey RC frame structure is given to verify the feasibility of the presented method.

关 键 词：框架结构 损伤识别 直接解析法 模态截尾误差 混合迭代法 

分 类 号：P315.96[天文地球—地震学]