利用拓扑优化的结构微小损伤定位研究

Tiny damage localization using topology optimization

以结构模态参数主要是结构共振频率和结构某点的反共振频率为基础,结合拓扑优化中的渐进结构优化法,讨论了其在微小损伤结构的损伤定位中应用的可行性。给出了结构共振频率和反共振频率的灵敏度,建立了损伤定位的数学模型,提出了针对微小损伤结构的损伤区域逼近方法,并结合进化法提出了合适的进行损伤定位的策略。最后针对本文所提的微小损伤结构,给出了算例进行验证。算例表明,渐进结构优化法在结构整个区域寻找损伤点,即使对于微小的损伤结构也可以有很好的搜寻效果。

The feasibility of using Evolutionary Structural Optimization（ESO） in tiny damage localization with the modal parameters of resonance frequencies and anti-resonance frequencies was investigated.The sensitivity of anti-resonance frequency was afforded,the formulation for damage localization was built,and a damage approximation method was given for inspecting slightly damaged structures.An example demonstrates that based on modal parameters,taking advantage of the character of topology optimization,the search of defects is performed globally over the entire structure and can find the location of tiny damage exactly.