基于柔度派生灵敏度的梁结构损伤识别研究

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1、基于柔度派生灵敏度的梁结构损伤识别研究赵靖芸扬魏违奎塁红张莹梁超绍兴文理学院土木工程系柔度方法在结构损伤识别屮有着广泛的应用，研宂三种棊于柔度派生灵敏度的结构损伤识别方法，它们分别是:对角线灵敏度、主特征向量灵敏度和单位荷载最不利布置灵敏度。详细推导了三种派生灵敏度的计算公式，并以一个三跨连续梁为例对所提方法进行了比较验证。计算结果表明：当采用前4阶模态数据时，柔度灵敏度方法和主特征向量灵敏度方法都可以较好的识别出结构损伤。当仅采用第一阶模态时，柔度灵敏度方法基本不可用，单位荷载最不利布置灵敏度方法对于识别支座附近单元损伤特别有效，而主特征向量灵敏度方法综合表

2、现最佳。工程实践中应根据具体的工况来选择合适的灵敏度以获得最好的识别结果。关键词：损伤识别;派生灵敏度;结构;柔度;主要研究方向结构损伤检测。基金：国家自然科学基金资助项FI(11202138)资助DAMAGEDETECTIONOFBEAMSTRUCTUREUSINGDERIVEDSENSITIVITYBASEDONSTRUCTURALFLEXIBILITYZHAOJingYunYANGQiuWeiLICuiHongZHANGJingLIANGChaoFengDepartmentofCivilEngineering，ShaoxingUniversity;Abs

3、tract：Theflexibility-baseddamageidentificationmethodshaveattractedmuchattentioninstructuralengineeringfieldinrecentyears.Inthispaper,threederivedsensitivitymethodsbasedonstructuralflexibilityarepresentedfordamageidentification,namely,thediagonalsensitivity,theprincipaleigenvectorsen

4、sitivityandtheunfavorableunitloaddistributionsensitivity.Comparedwiththeoriginalflexibilitysensitivitytechnique,theeffectoftruncatinghigher-ordermodescanbepartlyreducedinthederivedsensitivitymethods.Athree-spancontinuousbeamwasusedtoillustratethefeasibilityandsuperiorityofthederived

5、sensitivitymethodsforstructuraldamagedetection.Resultsobtainedbythefirstfourmodesandonlythefirstmodearebothgivenforcomparison.Whenthefirstfourmodesareused，itisfoundthattheprincipaleigenvectorsensitivityandtheflexibilitysensitivitymethodscanachievemoreaccurateresultsthanthoseobtained

6、bythediagonalsensitivityandtheunfavorableunitloaddistributionsensitivitytechniques.Whenonlythefirstmodeisused,onecanseethattheprincipaleigenvectorsensitivityandtheunfavorableunitloaddistributionsensitivitytechniquesaremoreeffectivethantheflexibilitysensitivityandthediagonalsensitivi

7、tymethods.Consequently,itisnecessarytochosesuitablesensitivitytechniqueforthespecificengineeringproblemtogetsatisfactorydetectionresults.Keyword：Damageidentification;Derivedsensitivity;Structure;Flexibility;引言近年来，利用结构响应参数的改变来检测结构损伤的方法己引起土木、机械、航空和海洋等众多工程技术领域的重视^-幻。其基本原理是:结构的响应参数（如频率、

8、振型、柔度）是结构物理特性（如刚度、质