混凝土梁裂缝损伤识别的加权整体最小二乘法  

Weighted Global Least Squares Method for Crack Damage Identification of Concrete Beams

作　　者：刘传辉[1] 李世勇[2] LIU Chuan-hui;LI Shi-yong(Hunan Institute of Technology,Hengyang Hunan 421008,China;Hunan University,Changsha Hunan 410082,China)

机构地区：[1]湖南工学院,湖南衡阳421008 [2]湖南大学,湖南长沙410082

出　　处：《计算机仿真》2020年第12期371-374,390,共5页Computer Simulation

基　　金：衡阳市科技局科研项目(2010kj30)。

摘　　要：针对混凝土梁裂缝损伤识别精准度较低、识别效率较差的问题,对混凝土梁裂缝损伤识别的加权整体最小二乘法展开研究。通过混凝土梁裂缝损伤识别原理划分梁结构,构建相应的模态刚度,通过分量与有限元离散技术得到模态的单元分量占比,通过多阶模态指标的确定构建损伤参数界定公式;利用梁频率和阻尼的一致性原理创建约束条件等式组,计算梁结构刚度与自振频率估算公式,引入加权因子界定梁的整体残差目标函数,实施泰勒级数一次展开修正初始值,完成加权整体最小二乘法的运算。仿真结果表明,所提方法能够迅速对结构复杂的梁裂缝损伤做出有效识别,且识别精准度高,表明该方法具有一定的可行性。The traditional concrete beam crack damage identification method has low accuracy and poor identifica-tion efficiency.In this regard,this paper studies the weighted total least squares method for crack damage identifica-tion of concrete beams.The beam structure was divided to construct the corresponding modal stiffness via the princi-ple for damage identification of concrete beam crack.Through the component and finite element discretization tech-nique,the element component proportion of the modal was obtained.The damage parameter definition formula was constructed after determining the multi-modal index.The restraint equations were created to calculate the stiffness of the beam and the estimation formula of natural frequency by using the consistency principle of beam frequency and damping.The objective function of the overall residual error of the beam was defined through the introduction of the weighting factor.The first spread of Taylor series was implemented to correct the initial value,thus achieving the op-eration of weighted total least squares method.The simulation results show that the method has high efficiency and accuracy,which indicates that the method is feasible.

关 键 词：混凝土梁 裂缝损伤 加权整体最小二乘法 结构刚度 加权因子 残差目标函数 

分 类 号：TP203[自动化与计算机技术—检测技术与自动化装置] U441[自动化与计算机技术—控制科学与工程]