Adjoint Variable Method for Multi-Objective Sizing and Shape Optimization

Journal of Computational Science and Technology

Naoki TAKANO¹  Chen Jian Ken LEE¹  Masato TANAKA¹  Wataru FURUYA¹ 

[1] Keio University, School of Science for Open and Environmental Systems

关键词: Adjoint Variable Method;    Multi-Objective;    Sizing Optimization;    Shape Optimization;    Discrete Force Method;   

DOI  :  10.1299/jcst.3.275

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(13)Cited-By(1)With smooth objective functions and constraint conditions, gradient-based methods can be used to solve multi-objective optimization problems efficiently. However, when applied to structural sizing optimization problems, using the Finite Element Method (FEM) and a finite difference scheme to calculate sensitivities can be computationally expensive. The adjoint variable method can be used to reduce computational cost. In order to solve multi-objective structural sizing and shape optimization problems efficiently, this paper proposes using the adjoint variable method. The adjoint variable method efficiently calculates multiple sensitivities for objectives that involve structural responses and cuts down computational cost by reducing the number of sensitivity calculations required per design variable.

【 授权许可】

Unknown