Effect of Grid Discrete Error on the Symmetry of Topological Optimization Results

摘要：

　　The Solid Isotropic Material with Penalization(SIMP)approach is adopted to derive the mutative symmetric formula of topology optimization results caused by the grid discrete error and penalization parameter.The mechanism for emergence of asymmetric results in topological optimization is analyzed using relative perturbation analysis of matrix eigenvalue.The asymmetry coefficient is therefore proposed to measure the asymmetric degree of topology optimization solution with the symmetric structure.Finite element models of symmetric spherical shell with different penalization parameters and shell thickness are presented.In these models,the effect of grid discrete error on the asymmetry of topological optimization solution with axisymmetric structure is studied.It is demonstrated that the grid discrete error and penalization parameter are significant factors in the symmetric effect of the topological optimization results.The results also point out that the consequence symmetry can be properly described by the asymmetry coefficient.

关键词： Axisymmetric structure Topology optimization SIMP approach Grid discrete error Asymmetry coefficient Symmetry

作者: FAN-Jun YIN Ze-yong WANG Jian-jun CEHN Ce

作者单位: School of Energy and Power Engineering,Beihang University,Beijing 100191,China;Aviation Research Ins School of Energy and Power Engineering,Beihang University,Beijing 100191,China;Aviation Powerplant R School of Energy and Power Engineering,Beihang University,Beijing 100191,China Aviation Research Institute,Beijing 100191,China

会议类型: 国际会议

会议名称: The 5th International Symposium on Jet Propulsion and Power Engineering(第五届喷气推进与动力工程国际会议)

会议地点: 北京

会议语种:英文

页码: 1-7

在线出版日期: 2014-09-15（万方平台首次上网日期，不代表论文的发表时间）