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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 damage identification method of truss structure based on residual force vector theory is proposed. Firstly, the stiffness matrix of truss structure is obtained by sensitivity analysis, then the rigid stiffness perturbation matrix is developed into a diagonal matrix by stiffness relation matrix, and the new residual force vector equation represented by the stiffness relation matrix is derived from the residual force vector equation . The new equation can be obtained by the rod unit stiffness changes, you can identify the truss structure damaged rod unit location and damage degree. Finally, a truss structure model for numerical simulation analysis. The analysis results show that this method has the advantages of simple calculation and small amount of calculation. Only the first modal parameter after damage can identify the structural damage, and the measurement accuracy is high, which is of guiding significance for practical engineering.