Verification for Shape Optimization on Heat-conduction Fields Considering Coupling Elastic-body and Flow-fields

2008 Fiscal Year Final Research Report

• Project/Area Number: 18560216
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Thermal engineering
• Research Institution: Gifu National College of Technology
• Principal Investigator: KATAMINE Eiji Gifu National College of Technology, 機械工学科, 准教授 (00224452)
• Project Period (FY): 2006 – 2008
• Keywords: 最適設計 / 形状最適化 / 連成問題 / 有限要素法 / 随伴変数法

Research Abstract

弾性体, 熱伝導場あるいは流れ場などの連続体領域形状を設計対象にした形状最適化問題は, 機械構造物を設計する上で重要な問題である. 本研究では, 伝熱と弾性変形を連成させた熱弾性場, および伝熱と流れを連成させた熱対流場において, 性能改善を目的としたいくつかの形状設計問題を取り上げ, その問題に対する実用的な解法を提案した. 二次元あるいは三次元問題の数値解析例によって, 提示した解法の妥当性が検証された.

Research Products

• [Journal Article] Shape Optimization of 3D Viscous Flow Fields (2009)
  • Author(s): E. Katamine, Y. Nagatomo, H. Azegami
  • Journal Title: Inverse Problems in Science & Engineering Vol. 17, No. 1 Pages: 105-114
  • Peer Reviewed
• [Journal Article] 抗力最小化・揚力最大化を目的とした定常粘性流れ場の形状最適化 (2008)
  • Author(s): 片峯英次, 西橋直志, 畔上秀幸
  • Journal Title: 日本機械学会論文集 74巻, B編 Pages: 2426-2434
  • Peer Reviewed
• [Journal Article] 放熱量最大化を目的とした非定常熱伝導場の形状最適化 (2008)
  • Author(s): 片峯英次, 岩田侑太朗, 畔上秀幸
  • Journal Title: 日本機械学会論文集 74巻, B編 Pages: 1609-1616
  • Peer Reviewed
• [Journal Article] Shape Optimization of Thermal Forced Convection Fields (2008)
  • Author(s): E. Katamine, Y. Kawase, H. Azegami
  • Journal Title: Heat Transfer Asian Research Vol. 37(Issue 5) Pages: 313-328
  • Peer Reviewed
• [Journal Article] 強制熱対流場の形状最適化 (2007)
  • Author(s): 片峯英次, 河瀬賀行, 畔上秀幸
  • Journal Title: 日本機械学会論文集 73巻, B編 Pages: 1884-1891
  • Peer Reviewed
• [Journal Article] Solution of Shape Identification Problem on Thermoelastic solids (2006)
  • Author(s): E. Katamine, H. Azegami, M. Hirai
  • Journal Title: International Journal of Computational Methods Vol. 3, No. 3 Pages: 279-293
  • Peer Reviewed
• [Presentation] 温度依存性材料の定常熱伝導場における形状最適化 (2008)
  • Author(s): 片峯英次, 安江銀次, 畔上秀幸
  • Organizer: 日本機械学会2008年度年次大会
  • Place of Presentation: 横浜国立大学
  • Year and Date: 2008-08-08
• [Presentation] Shape Idenification of Forced Heat-Convection Fields (2008)
  • Author(s): E. Katamine, Y. Kawase, H. Azegami
  • Organizer: Proceedings of the 8th World Congress on Computational Mechanics
  • Place of Presentation: Venice, Italy
  • Year and Date: 2008-07-05
• [Presentation] Error Estimate of the Shape Gradient for the Stokes Problem by Finite Element Method (2008)
  • Author(s): H. Azegami, Y. Iwata, S. Kaizu, E. Katamine
  • Organizer: Proceedings of the 5th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems
  • Place of Presentation: Jeju Island, Korea
  • Year and Date: 2008-06-16
• [Presentation] 体積最小化を目的とした熱弾性場の形状最適化 (2007)
  • Author(s): 片峯英次, 清水健一, 畔上秀幸
  • Organizer: 日本機械学会2007年度年次大会
  • Place of Presentation: 関西大学
  • Year and Date: 2007-09-12
• [Presentation] Shape Optimization of 3D Viscous Flow Fields (2007)
  • Author(s): E. Katamine, Y. Nagatomo, H. Azegami
  • Organizer: Proceedings of Inverse Problems, Design and Optimization Symposium
  • Place of Presentation: Miami, Florida, U.S.A.
  • Year and Date: 2007-04-18