Multi-Objective Shape Optimization on Fundamental Multi-physics Problems

2016 Fiscal Year Final Research Report

• Project/Area Number: 26420161
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Thermal engineering
• Research Institution: Gifu National College of Technology
• Principal Investigator: KATAMINE Eiji 岐阜工業高等専門学校, その他部局等, 教授 (00224452)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 最適設計 / 形状最適化 / マルチフィジックス問題 / 有限要素法 / 随伴変数法

Outline of Final Research Achievements

In this study, thermo-elastic field and natural convection field problems were considered as multi-objective shape optimization in the issue of fundamental multi-physics. For the thermo-elastic field problem, to achieve multi-objective shape optimization for stiffness maximization, compliance evaluated by thermal deformation based on temperature distribution and by mechanical deformation based on surface force or body force is used as an objective functional by using weighting method. Shape gradient of the multi-objective shape problem is derived theoretically using adjoint variable method and the formulae of the material derivative. Numerical analyses program for the shape optimization is developed based on FreeFem++, and the validity of proposed method is confirmed by results of 2D numerical analyses. Using similar method, validity of the multi-objective shape optimization of the natural convection field problem was confirmed.

Free Research Field

工学