摘要
结合频域内动力扩展有限元(Extended Finite Element Methods,XFEM)与人工蜂群(Artificial Bee Colony,ABC)算法的优点,建立了反演结构内部缺陷的数值模型.阐述了动力XFEM的基本公式,给出直接滤频法迭代求解结构自振频率的过程.在迭代过程中,ABC智能算法通过整体和局部共同搜索,能够迅速地得到最优解,并可有效地避免陷入局部最优,XFEM通过水平集函数表征不连续区域,迭代过程中数值计算网格不需要进行重剖分.结合XFEM与ABC算法所建立的反演模型有效地减少了迭代的计算成本.采用频域内结构的前若干阶频率作为真实响应,考虑了惯性力影响,比静力响应只考虑劲度的变化更全面.结果表明:所建立的反演结构内部缺陷的数值模型能够准确地识别出结构内部单个缺陷的位置和大小.
This paper proposes an approach for detecting an internal defect by using dynamic extended finite element method（XFEM） in frequency domain and the artificial bee colony （ABC） algorithm. The basic for- mulation for dynamic XFEM is given. And then the direct filtration of frequencies for solving iteratively the natural frequency of vibration is elaborated. The main advantage of the proposed approach is that the ABC al- gorithm can effectively avoid the appearance of the local optimum by the global and local searching strategy and the XFEM alleviates the need for remeshing the domain with level set methods used to describe the dis- continuous region at each iteration process. The inverse model combined XFEM with ABC algorithm can ef- fectively reduce the amount of calculation for inverse analysis. Compared with the static response, it is more comprehensive for the several order frequency in the frequency domain which is used as the real response con- sidering the effect of inertia force. The results show that the proposed approach can effectively detect the loca- tion and shape of the internal defect in materials.
作者
王珍兰
江守燕
杜成斌
储冬冬
陈艳丽
Wang Zhenlan Jiang Shouyan Du Chengbin Chu Dongdong Chen Yanli(Jiangsu Province Water Conservancy Science Research Institute, Yangzhou 225002, China College of Mechanics and Materials, Hohai Univ. , Nanjing 210098, China)
出处
《三峡大学学报（自然科学版）》
CAS
2017年第3期15-19,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金(51579084)
江苏省水利科技项目(2015030
2016017)
关键词
动力扩展有限元法
人工蜂群算法
直接滤频法
孔洞
反演分析
dynamic extended finite element methods
artificial bee colony algorithm
direct filtration of frequencies
void
inversion analysis
