一种基于柔度的结构损伤定位新方法
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摘要
针对现有基于柔度变化的损伤定位方法在理论上仍存在错误定位的可能,从结构刚度矩阵与柔度矩阵的正交性出发,结合矩阵摄动理论及有限元理论,提出一种新的基于柔度变化的结构损伤指标,此方法仅需要结构的前几阶模态参数即可实现准确的损伤定位。通过一平面桁架结构的数值模拟证明该方法的有效性、优越性,该方法有望用于复杂结构的损伤定位分析中。
To exist inaccurate damage location for current flexibility-based method for damage localization,a new damage index based on the orthogonal relation between stiffness matrix and flexibility matrix is presented combining with the matrix perturbation method and the finite element method.It can obtain accurate damage location using several order modal parameters.The effectiveness and superiority of this approach is verified by a numerical simulation for the plane truss,and it will be possibly used on damage localization for complex structures.
To exist inaccurate damage location for current flexibility-based method for damage localization,a new damage index based on the orthogonal relation between stiffness matrix and flexibility matrix is presented combining with the matrix perturbation method and the finite element method.It can obtain accurate damage location using several order modal parameters.The effectiveness and superiority of this approach is verified by a numerical simulation for the plane truss,and it will be possibly used on damage localization for complex structures.
引文
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[2]Bernal D,Gunes B.Damage Localization in output-onlySystem:A flexibility based approach.IMAC-XX,LosAn-geles,California,2002:1185-1191.
[3]赵媛,陆秋海.简支梁桥多位置损伤的检测方法[J].清华大学学报(自然科学版),2002,42(4):434-438.
[4]杨华.基于柔度矩阵法的结构损伤识别[J].吉林大学学报(理学版)2008,46(2):242-244.
[5]綦宝晖,邬瑞锋,蔡贤辉,等.一种桁架结构损伤识别的柔度阵法[J].计算力学学报,2001,18(1):42-47.
[6]ZHAO J,DE WOLF J T.Sensitivity study for vibrationalparameters used in damage detection[J].Journal ofStructural Engineering,1999,125(4):410-416.
[7]杜思义,殷学刚,陈淮.基于频率二阶摄动的结构损伤识别方法[J].应用力学学报,2006,23(4):613-61.
[8]Fabrizio V,Danilo C.Damage detection in beam struc-tures based on frequency measurements[J].Journal ofEngineering Mechanics,2000,126(7):761-768.
[9]施洲,赵人达.桥梁结构损伤对其固有振动特性的影响[J].地震工程与工程振动,2007,27(5):117-123.
[10]汤海燕.结构损伤的动力学识别方法研究[J].低温建筑技术,2005,49(1):49-51.
[11]孙继广.矩阵扰动分析[M].北京:科学出版社,2001.
[12]曹树谦,张文德,萧龙翔.振动结构模态分析——理论、实验与应用[M].天津:天津大学出版社,2001.
[13]Yang Q W,Liu J K.A coupled method for structural dam-age identification[J].Journal of Sound and Vibra-tion,2006,296:401-405.
[14]高维成,刘伟,邹经湘.基于结构振动参数变化的损伤探测方法综述[J].振动与冲击,2004,23(4):1-7.
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