摘要
针对结构损伤识别中的最小秩方法存在的问题,经过研究发现,对测试模态进行关于质量矩阵的正交归一化可保证反演后刚度矩阵的对称性;提出了一种迭代修正算法,可保持反演结果的稀疏性;基于模态力余量,定义了一种损伤指标来预先判定结构损伤单元的位置,并可据此选取合适的测试模态阶数进行反演计算。数值试验结果表明,改进后的方法在考虑测试模态误差的情况下可对结构的损伤进行精确的定位和标定。
The existing problem of the structural damage identification based on the minimum rank method was studied. Authors discovered that the stiffness matrix would preserve the symmetry if the measured modal eigen vectors were mass orthogonal. Iterative correction algorithm to preserve sparsity of the stiffness matrix was proposed. An damage indicator was defined to determine the location of structural damage elements, and the proper testing modal modes used in the inverse computation could be selected accordingly. Numerical test results show that the improved method can locate and quantify the structural damage in truss structures precisely under considering the modal testing errors.
出处
《建筑科学与工程学报》
CAS
2006年第3期37-40,共4页
Journal of Architecture and Civil Engineering
基金
国家高技术研究发展计划("863"计划)项目(2002AA615110)
教育部跨世纪人才基金项目(2003)
关键词
建筑结构
结构损伤识别
最小秩方法
模态力余量
building structure, structural damage identification
minimum rank method
modal force surplus
