基于广义柔度矩阵和信息熵的梁结构损伤识别方法研究  

Study on damage recognition method of beam structural based on generalized flexibility matrix and information entropy

作　　者：项长生[1,2] 赵冉 周宇 王立宪[1,2] 刘海龙 XIANG Chang-sheng;ZHAO Ran;ZHOU Yu;WANG Li-xian;LIU Hai-long(School of Civil Engineering,Lanzhou University of Technology,Lanzhou 730050,China;Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education,Lanzhou University of Technology,Lanzhou 730050,China;College of Civil Engineering,Anhui Jianzhu University,Hefei 230601,China)

机构地区：[1]兰州理工大学土木工程学院,甘肃兰州730050 [2]兰州理工大学西部土木工程防灾减灾教育部工程研究中心,甘肃兰州730050 [3]安徽建筑大学土木工程学院,安徽合肥230601

出　　处：《兰州理工大学学报》2025年第2期126-134,共9页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(51868045);安徽省教育厅省级自然科学研究重点项目(KJ2019A0746);安徽省自然科学基金青年项目(2008085QE247)。

摘　　要：基于柔度矩阵的梁结构损伤识别方法是较频率、模态更为敏感的损伤动力指纹.鉴于广义柔度矩阵在结构损伤识别中的敏感性优势并结合信息熵理论提出了广义柔度熵曲率差指标(GFMECD)作为结构损伤识别的新方法.通过建立简支梁、连续梁有限元数值模型对所提指标的可行性及有效性进行验证,结果表明:无论是单点损伤、多点损伤,广义柔度熵曲率差指标均能够准确地识别出结构损伤的位置且具有良好的抗噪性,并能初步判定结构的损伤程度,能够胜任不同结构发生不同损伤程度损伤时的损伤定位与初步定量任务.The beam structural damage recognition method based on a flexible matrix is a more sensitive damage power fingerprints compared to frequency and modality.In view of the sensitivity advantage of a generalized flexibility matrix in structural injury recognition and combining information entropy theory,a generalized flexibility matrix entropy curvature difference indicator(GFMECD)is proposed as a new method for structural damage recognition.By establishing the finite element numerical models of a simply supported beam and the continuous beam,the feasibility and effectiveness of the proposed indicators is verified.The results show that,regardless of single-point damage or multi-point damage,the GFMECD index can accurately identify the location of both single-point and multi-point structural damage,exhibiting strong noise robustness.Additionally,it provides a preliminary assessment of the damage severity,making it suitable for damage localization and initial quantification in structures with varying damage degrees.

关 键 词：梁结构 广义柔度矩阵 信息熵 损伤识别 损伤评估曲线 

分 类 号：TU311[建筑科学—结构工程] TU37