Solution and Verification for Multi-Objective Shape Optimization on Complicated Thermo-elastic Fields and Heat-convection Fields

复杂热弹性场和热对流场多目标形状优化的求解与验证

• 批准号: 23560247
• 负责人: KATAMINE EIJI
• 金额: $ 3.41万
• 依托单位: Gifu National College of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23560247/
• 关键词: 最適設計; 形状最適化; 連成問題; 有限要素法; 随伴変数法; 形状同定

Shape optimization problems of linear elastic bodies, heat-conduction fields, viscous flow fields, etc. are very important problems in mechanical and structural design. In this study, numerical analyses method of some multi-objective shape optimization problems was proposed for improving performance in viscous flow fields, heat-convection fields, and thermo-elastic fields. These multi-objective shape optimization problems were formulated, then shape sensitivity functions for the shape optimization problems are derived theoretically. Numerical analyses program were developed for the shape optimization problems, and the validity of proposed method was confirmed by results of 2D numerical analyses.

线弹性体的形状优化问题、热传导场、粘性流场等是机械和结构设计中非常重要的问题。本研究针对黏性流场、热对流场、热弹性场等多目标形状优化问题，提出了数值分析方法。建立了多目标形状优化问题的数学模型，并从理论上推导了形状优化问题的形状灵敏度函数。针对形状优化问题开发了数值分析程序，二维数值分析结果验证了所提方法的有效性。

项目成果

Shape Optimization of Thermoelastic Fields for Mean Compliance Minimization

平均柔度最小化的热弹性场形状优化

• 发表时间: 2012
• 作者: E.Katamine;H.Yoshioka
• 通讯作者: H.Yoshioka

Multi-objective Shape Optimization in Forced Heat-convection Field

强制热对流场中的多目标形状优化

• 发表时间: 2013
• 作者: E. Katamine;Y. Kiriyama
• 通讯作者: Y. Kiriyama

定常粘性流れ場の多目的形状最適化

稳态粘性流场多目标形状优化

• 发表时间: 2011
• 作者: 鈴木康一;結城和久;陳 剛;牛丸浩二,菅雅裕,田上公俊,窪山達也,森吉泰生,堀田栄喜;片峯英次，松井康剛;庄司正弘(他3名);遠藤亮祐,岡崎一也,稲田元,嶋田不美生,田上公俊;Koichi Suzuki;Masahiro Shoji;片峯英次,松井康剛
• 通讯作者: 片峯英次,松井康剛

Multi-objective shape optimization for drag minimization and lift maximization in low Reynolds number flows

低雷诺数流中阻力最小化和升力最大化的多目标形状优化

• 发表时间: 2012
• 期刊: Theoretical and Applied Mechanics Japan
• 作者: 村上岩範;中島啓;嶋田長;小林康広;E. Katamine and Y. Matsui
• 通讯作者: E. Katamine and Y. Matsui

強制熱対流場における多目的形状最適化

强制热对流场中的多目标形状优化

• 发表时间: 2013
• 期刊: 日本機械学会論文集
• 作者: Noriyuki Unno;Shin-ichi Satake and Jun Taniguchi;稲田元,遠藤亮祐,伊東慎也,橋本淳,田上公俊;片峯英次,桐山恭幸,畔上秀幸
• 通讯作者: 片峯英次,桐山恭幸,畔上秀幸