结构损伤识别的改进广义柔度矩阵灵敏度方法  

An Improved Generalized Flexibility Sensitivity Method for Structural Damage Detection

作　　者：牛梓蓉 吴锋[3] 韩兆龙[1] 卓杨[3] 车爱兰[1] 朱宏博 NIU Zirong;WU Feng;HAN Zhaolong;ZHUO YangCHE Ailan;ZHU Hongbo(School of Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China;Chongqing Research Institute,Shanghai Jiao Tong University,Chongqing 401135,China;Shanghai Third Harbor Engineering Science&Technology Research Institute Co.,Ltd.,Shanghai 200032,China;School of Operational Support,Rocket Force Engineering University,Xi’an 710025,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]上海交通大学重庆研究院,重庆401135 [3]中交上海三航科学研究院有限公司,上海200032 [4]火箭军工程大学作战保障学院,西安710025

出　　处：《上海交通大学学报》2025年第4期541-549,共9页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金(52108375,52122110,52088102);重庆市自然科学基金(cstc2021jcyj-msxmX0603);上海交通大学深蓝计划(SL2021PT302)资助项目。

摘　　要：提出一种改进的广义柔度矩阵灵敏度方法用于结构的损伤识别.首先,在原有方法基础上增加广义柔度矩阵关于损伤系数的高阶灵敏度项,提高损伤识别结果的精度.然后,在求解损伤识别方程时,考虑损伤识别的物理意义,通过增加损伤系数的约束条件,将损伤识别方程转换为最优化问题,并采用序列二次规划算法进行求解,避免出现负损伤系数的情况.最后,采用一个空间桁架结构有限元模型数值算例和一个7层的框架结构模型试验,验证所提方法的有效性和优越性.结果表明,所提方法与原方法相比能更精确地定位损伤位置,识别损伤程度,且适用于大损伤的情形.This paper proposes an improved generalized flexibility sensitivity method for structural damage detection.The proposed approach improves the accuracy of the original generalized flexibility sensitivity method by increasing the order of the sensitivity in the damage detection equations.Additionly,restraint conditions are applied to the damage coefficients to ensure that they meet the necessary requirements.Then,the resulting nonlinear damage detection equations are solved using sequential quadratic programming method,whose calculation is simple and efficient.Finally,the proposed approach is validated numerically and experimentally using a truss structure finite element model and a 7-story steel-frame structure experiment,respectively.The results show that the proposed approach provides more accurate damage location and severity detection compared with the original method.Furthermore,it is better suited for cases involving large damage severity.

关 键 词：损伤识别 广义柔度 模态 灵敏度 最优化 

分 类 号：TH212[机械工程—机械制造及自动化]