利用模态参数进行弹性薄板的损伤识别

DAMAGE IDENTIFICATION OF ELASTIC THIN PLATES USING MODAL DATA

以一四边简支矩形弹性薄板为研究对象 ,通过数值计算得到板损伤前后的多阶模态 ,进而利用板损伤前后的位移振型比及柔度差来进行板的损伤识别研究。结果表明一阶振型比及柔度差均可用于结构损伤的检测与定位 ,并能大致判断损伤的程度。

By using rectangular plates with four simply supported edges as analytical models, the mode shapes and frequencies are calculated by numerical method. And then the ratio of displacement modes and the difference between flexibilities of the intact plate and the damaged plate are derived and used to identify damages. The ratio of first displacement modes and the difference between flexibilities are used to detect and locate damages, as well as approximately determine the extent of damages. The result shows that the ratio of first displacement modes is a better damage indicator.