高柔悬臂结构损伤识别的约束柔度法

为了识别高柔悬臂结构的损伤位置和损伤程度，提出损伤识别约束柔度法。推导出等效抗弯刚度分别与柔度矩阵各元素和与任一阶模态参数的关系等式，基于任一阶模态参数，将高柔悬臂结构简化为弯曲型集中质量模型，分析基于弯曲型集中质量模型的损伤识别柔度法的病态性，引入约束条件，建立低病态性的方程组，通过解方程组识别损伤。数值算例表明，所提方法识别效果较好，明显改善了损伤识别柔度法的病态性。

Constrainted flexibility method for damage identification with high flexible cantilever structural

In order to identify the location and extent of the damage for high flexible cantilever structure , the constrainted flexibility method for damage identification was proposed. The relationships between equivalent bending stiffness and the elements of the flexibility matrix or a first-order modal parameters were deduced, and high flexible cantilever structure was simplified as a curved concentrated mass model based on a first-order modal parameters. By analyzing morbid of flexibility method for damage identification based curved concentrated mass model and introducing constrainted conditions, a low morbid equations was established, and it identified damage by solving equations. The results of numerical example show that constrainted flexibility method for damage identification has better identifications , significantly improving the morbid of flexibility method.