基于残余力向量法的桁架结构损伤识别  

A DAMAGED IDENTIFICATION METHOD OF TRUSS STRUCTURES BASED ON RESIDUAL FORCE VECTOR

作　　者：蔡小双[1] 纪国宜[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《工业建筑》2013年第S1期211-213,288,共4页Industrial Construction

摘　　要：提出一种基于残余力向量理论的桁架结构损伤识别方法。先由灵敏度分析求出桁架结构刚度联系矩阵,再由刚度联系矩阵将损伤后的刚度摄动矩阵展开成对角矩阵,结合残余力向量方程得出由刚度联系矩阵表示的新的残余力向量方程。由新方程可以得到各杆单元刚度的改变量,即可识别出桁架结构的受损杆单元位置及其损伤程度。最后以某桁架结构模型进行数值仿真分析。分析结果表明,该方法具有计算简单,计算量小等优点,仅需要损伤后第一阶模态参数,就可以识别出结构的损伤情况,并且测量精度较高,对于实际工程具有一定指导意义。A damaged identification method of the truss structures based on the theory of the residual force vector is proposed in this essay.The stiffness connectivity matrix of the truss structures is obtained by the sensitivity analysis.The stiffness matrix perturbation of the damaged structure can be expanded to a diagonal matrix by the stiffness connectivity matrix.It can be got a new residual force vector equation expressed by the stiffness connectivity matrix by substituting it into the residual force vector equation.The stiffness perturbation is obtained by the new equation.The damaged cell and it’s extents are identified.At last,a numerical example of a truss structures is given.The result indicates that the method has the advantage of simple calculation.The damage can be identified by only the first mode of the damaged structure.And this method has high accuracy of measurement,making sense for practical project.

关 键 词：残余力向量 桁架结构 刚度联系矩阵 损伤识别 

分 类 号：TU323.4[建筑科学—结构工程] TU312.3