Modified semi-analytical sensitivity analysis methods for structural design optimization
Received:June 02, 2017  Revised:September 18, 2017
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DOI:10.7511/jslx20170602002
KeyWord:structural optimization  semi-analytical sensitivity analysis technic  shape optimization  modified algorithm
           
AuthorInstitution
陈飙松 大连理工大学 工业装备结构分析国家重点实验室, 大连 ;大连理工大学 江苏研究院, 常州
张力丹 大连理工大学 工业装备结构分析国家重点实验室, 大连
鲁一南 大连理工大学 工业装备结构分析国家重点实验室, 大连
程耿东 大连理工大学 工业装备结构分析国家重点实验室, 大连
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Abstract:
      A modified algorithm for semi-analytical sensitivity analysis is presented in this investigation,which facilitates program implementation and possesses excellent numerical stability stable feature with respect to perturbation step length of design variables.Firstly,a modified semi-analytical sensitivity analysis technique based on global structural equations is proposed for static displacement and stress problems,and its program implementations are provided.Subsequently,the modified method is extended for other analysis tasks including natural frequency,linear buckling and dynamic transient analysis.Meanwhile,the modified method is verified by typical finite element models with beam and shell elements.The results highlight the applicability of the modified method to various analysis types mentioned above,and the accuracy as well as the efficiency is enhanced by the modified methods.Especially,the methods exhibit excellent stable features with respect to perturbation step length of design variables and thus will be more suitable for shape optimization of complex engineering structures.