组合优化在结构多位置损伤识别中的应用

提出了应用于板结构多位置损伤诊断的组合优化方法。证明了多位置损伤状态下的振型变化具有可叠加性，引入了结构的一阶振型变化率作为结构的损伤诊断标识量并证明了具有可叠加的性质，最后提出应用组合优化方法求解板结构多位置损伤诊断问题。四边固支矩形板的多位置损伤诊断的算例证明了该方法是有效可行的，它不仅可以准确的完成板结构的损伤诊断，并且可以简化整个损伤诊断的过程。

The Combined Optimization Method for the Multiple Damages Detection of the Plate Structure

A combined optimization method is proposed to detect the plate structure with multiple damages. Firstly the variety of the first mode can be superposed under the multiple damages. Then the variety rate of the first mode is introduced as the damage signature, and the feature of the superposition is certificated. Finally a combined optimization method is advanced to resolve the detection of the multiple damages of the plate structure. The example of the damage detection to the plate fixed at four sides reveals that the new method is feasible and effective, it not only can finish the damage detection with high precision, but also can simplify the process of the damage detection of the plate structure.