基于矩阵摄动理论识别结构损伤的筛选法

Sieve Method for Identifying Damage Based on Matraix Perturbation Theory

定义了结构有限元模型中的单元损伤识别参数,建立了基于矩阵摄动理论的结构损伤识别方程,结合结构损伤的特点,提出了求解损伤识别方程的筛选法,该方法可以避免优化方法和迭代方法在未损伤单元上出现的"伪损伤"现象。通过一架五跨平面桁架损伤识别的数值仿真结果,证明了该方法的有效性与优越性。

Damage identification parameter for element in finite element model (FEM) is defined. The damage identification equations from the perturbation and structural vibration theory are derived. The sieve method for identifying damage is presented according to the characteristics of damage identification. The method enables to avoid the false damage in undamaged element in optimization algorithms and iteration methods. The approach is verified to be effective and valuable by numerical simulations of damage detection on a five span plane truss.