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中文摘要：
建立了一种基于模态柔度的桁架结构损伤定位方法。从结构柔度矩阵与刚度矩阵的正交关系出发，将损伤结构在观测模态下的节点误差作为损伤定位的动力指纹，通过采用模态参数的一阶矩阵摄动技术，以近似解析的方式推导了本文方法的损伤定位原理。并且通过对一个典型桁架结构的数值模拟研究，验证了本文损伤定位方法的有效性和鲁棒性。研究结果表明，本文基于柔度的损伤定位方法能够在实际观测条件下，准确地识别桁架结构的损伤单元位置。
英文摘要：
A Flexibility-based method for damage localization of truss structures is presented. Using of the orthogonal relation between the flexibility matrix and the sittiffness matrix, nodal errors of damaged modal flexibility were proposed as damage indices to detect the local damges of truss structures. A pseu- do-analytical method based on matrix perturbation technique was adopted to derive the damage localization theory. A numerical simulation of a typical truss structure was illustrated to investigate the effec- tiveness and robustness of the proposed approach. The results indicate that the proposed method based on modal flexibility can accurately indentify the damage location of truss structures with the noisy modal data.
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