结构裂缝损伤识别的虚拟柔度矩阵法

Virtual Flexibility Matrix on Structural Crack Damage Detection

柔度矩阵元素值小（10^-5～10^-6量级）,直接用来判断结构的损伤容易受到噪声干扰.柔度矩阵元素反映的是结构整体信息,变化最大的不一定对应损伤部位.故利用柔度矩阵进行结构损伤识别尚存诸多缺陷.利用模态测试数据构造结构虚拟柔度矩阵,通过施加虚拟力的方法建立总体虚拟柔度矩阵与局部刚度变化之间的关系,根据广义应变变化率,可以同时得到损伤位置与损伤程度的识别结果.用简支梁的动力模型试验数据验证了算法应用的可行性.

：Because of too small values（from 10^-5 to 10^-6）of flexibility matrix, it is prone to influencing from noise. Flexibility matrix elements show whole structural information, its maximal changes may not coincide with damage location. Hence damage detection by flexibility matrix still exists a good many limitation. Virtual flexibility matrix is built from modal test. The relation equation between virtual flexibility matrix and local stiffness change is completed by virtual forces. Damage location and severity are simultaneously obtained by generalized strain changes. It showed that the method is feasible through dynamic model test of simply supported beam.