This paper is to address structural optimization problems where multiple structure cases or multiple payload cases can be considered simultaneously.Both types of optimization problems involve multiple finite element m...This paper is to address structural optimization problems where multiple structure cases or multiple payload cases can be considered simultaneously.Both types of optimization problems involve multiple finite element models at each iteration step,which draws high demands in opti-mization methods.Considering the common characteristic for these two types of problems,which is that the design domain keeps the same no matter what the structure cases or payload cases are,both problems can be formulated into the unified expressions.A two-level multipoint approxima-tion(TMA)method is firstly improved with the use of analytical sensitivity analysis for structural mass,and then this improved method is utilized to tackle these two types of problems.Based on the commercial finite element software MSC.Patran/Nastran,an optimization system for multiple structure cases and multiple payload cases is developed.Numerical examples are conducted to verify its feasibility and efficiency,and the necessity for the simultaneous optimizations of multiple structure cases and multiple payload cases are illustrated as well.展开更多
In this survey the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, introduced by Ch...In this survey the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, introduced by Chui et al. in 1984 are extensively used.展开更多
In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, which was intro...In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 are extensively used.展开更多
基金supported by the Innovation Foundation of Beihang University for Ph.D.Graduates
文摘This paper is to address structural optimization problems where multiple structure cases or multiple payload cases can be considered simultaneously.Both types of optimization problems involve multiple finite element models at each iteration step,which draws high demands in opti-mization methods.Considering the common characteristic for these two types of problems,which is that the design domain keeps the same no matter what the structure cases or payload cases are,both problems can be formulated into the unified expressions.A two-level multipoint approxima-tion(TMA)method is firstly improved with the use of analytical sensitivity analysis for structural mass,and then this improved method is utilized to tackle these two types of problems.Based on the commercial finite element software MSC.Patran/Nastran,an optimization system for multiple structure cases and multiple payload cases is developed.Numerical examples are conducted to verify its feasibility and efficiency,and the necessity for the simultaneous optimizations of multiple structure cases and multiple payload cases are illustrated as well.
文摘In this survey the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, introduced by Chui et al. in 1984 are extensively used.
文摘In this survey, the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, which was introduced by Chui et al. in 1984 are extensively used.
