文献类型：期刊文献

中文题名：基于刚度灵敏度矩阵的结构损伤识别

英文题名：Damage identification of structure based on stiffness sensitivity matrix

作者：罗帅[1];杨浩[1];沈吉宝[1];侯刚[1];杨秋伟[1];李博[1]

机构：[1]绍兴文理学院土木工程学院,浙江绍兴312000

年份：2020

卷号：45

期号：6

起止页码：1293

中文期刊名：广西大学学报：自然科学版

收录：CSTPCD、、北大核心2017、北大核心

基金：国家自然科学基金项目(51609136);国家自然科学基金项目(11202138);广东省自然科学基金资助项目(2015A030310168);浙江省教育厅科研计划项目(Y201840061)。

语种：中文

中文关键词：结构健康监测;损伤识别;刚度矩阵;损伤因子;灵敏度

外文关键词：structural health monitoring;damage identification;stiffness matrix;damage factor;sensitivity

中文摘要：为了获得在静载状态下结构构件的损伤定位及程度信息,提出一种基于刚度灵敏度矩阵的结构损伤识别方法。对带有损伤构件的结构静力平衡方程引入损伤因子,并通过对损伤因子的求导,得到单元刚度的灵敏度矩阵计算公式。将灵敏度矩阵代入到损伤前后的变形差与损伤因子之间的函数关系式中,建立了基于刚度灵敏度矩阵的结构损伤识别理论分析模型。采用最小二乘法求解结构理论分析模型得到结构所有构件的损伤因子,实现构件的损伤定位和损伤程度定量分析。理论模型的数值分析结果表明采用刚度灵敏度矩阵进行结构的损伤识别效果显著。为了验证理论分析模型,在实验室中开展了静态荷载作用下的试验模型验证试验,修改截面尺寸模拟结构损伤,利用配重块施加静力作用,测量指定位置的挠度验证理论分析结果。试验模型在局部单一构件刚度损失12.5%时,实验测得的变形量与理论分析结果相对误差低于3%,在2根构件损伤12.5%时测得的变形量与理论分析结果的相对误差低于4%,这一结果表明基于刚度灵敏度矩阵的结构损伤识别方法是可靠的。

外文摘要：In order to obtain the damage location and degree information of structural components under static load,a structural damage identification method based on stiffness sensitivity matrix was proposed.To obtain the sensitivity matrix formula of component stiffness,a damage factor was introduced into a static equilibrium equation of structure with damaged components.The formula was obtained by deriving the equation with the damage factors.A theoretical analysis model component damage identification,which was based on the stiffness sensitivity matrix,was established by incorporatiing the stiffness sensitivity matrix itto the functional relationship of displacement difference between before and after damage of components with the damage factors.Damage factors of all components were obtained by solving the theoretical analysis model using the least-square method,which was to realize damage location and damage degree quantitative analysis of the components.The results of numerical analysis for the theoretical model show that the damage identification of structure using stiffness sensitivity matrix is remarkably effective.In order to validate the theoretical analysis model,the tests for an experimental model under static load were carried out in the laboratory.The test changes the sectional area to simulate structural damage,and the theoretical analysis results are validated by measuring the deflection of the specified position using static force exerted by the weight.The relative error between the measured deformation of the experimental model and the theoretical analysis results is less than 3%in the case of stiffness loss 12.5%of a single component while less than 4%in the case of stiffness loss 12.5%of two components.This result indicates that the damage identification method based on stiffness sensitivity matrix is reliable and provides a theoretical method for damage identification of structure under static load.