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Verification of Domain Optimization Theory

Research Project

Project/Area Number 06650104
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field Materials/Mechanics of materials
Research InstitutionToyohashi University of Technology

Principal Investigator

AZEGAMI Hideyuki  Toyohashi University of Technology, Faculty of Engineering, Associate Professor, 工学部, 助教授 (70175876)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1995: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1994: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsOptimum Design / Computer-Aided Design / Finite-Element Method / Computational Fluid Dynamics / Vibration of Continuous System / Material Derivative Method / Gradient Method / Traction Method / 速度法
Research Abstract

Following the verification result of the domain optimization theory to two dimensional problems in 1994 of minimizing a mean compliance, maximizing a vibrational eigenvalue of linear elastic continuum, minimizing a dissipation energy of a viscous flow field and minimizing a velocity square error norm of a potential flow field, we obtained the results :
1. We developed a system to analyze three dimensional optimum domains for the mean compliance minimization problems and the vibrational eigenvalue maximization problems of linear elastic continua utilizing a general purpose FEM program. Analyzing three dimensional problems using this system, we obtained the monotonous convergent results for the mean compliance minimization problems and the vibrational eigenvalue maximizaton problems.
2. In addition, we developed another system to identify two dimensional domain where a distribution of potential or square velocity, i.e., pressure in a flow field of an ideal fluid, in a specified subdomain agrees with a prescribed distribution utilizing a general purpose FEM program. Analyzing two dimensional heat transfer body having a prescribed temperature in a specified subdomain using this system, we obtained successful results. Furthermore, we obtained the wing section of NACA 0012 from a different section by varying the wing section to minimize an error norm of a pressure distribution near surface of the wing section of NACA 0012 previously analyzed by the FEM program. This developed system is applicable to three dimendional problems using three dimensinal elements.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (66 results)

All Other

All Publications (66 results)

  • [Publications] 畔上秀幸: "領域最適化問題の一解法" 日本機械学会論文集. 60巻A編. 1479-1486 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 畔上秀幸,呉志強: "線形弾性問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 60巻A編. 2312-2318 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 下田昌利,呉志強,畔上秀幸,桜井俊明: "汎用FEMコードを利用した領域最適化問題の数値解析" 日本機械学会論文集. 60巻A編. 2418-2425 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 片峯英次,畔上秀幸: "粘性流れ場領域最適化問題の解法(力法によるアプローチ)" 日本機械学会論文集. 60巻B編. 3859-3866 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 片峯英次,畔上秀幸: "ポテンシャル流れ場の領域最適化解析" 日本機械学会論文集. 61巻B編. 103-108 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 下田昌利,畔上秀幸,桜井俊明: "複数荷重を考慮した線形弾性体の多目的形状最適化(平均コンプライアンス最小化問題を例として)" 日本機械学会論文集. 61巻A編. 359-366 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 呉志強,畔上秀幸: "固有振動問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 61巻C編. 930-937 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda,T.Sakurai,H.Azegami: "A Traction Method Approach to Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions" Proceedings of the Ninth International Conference on Vehicle Structural Mechanics and CAE,SAE,P-290. 223-234 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 片峯英次,畔上秀幸: "粘性流れ場の領域最適化解析(対流項を考慮した場合)" 日本機械学会論文集. 61巻B編. 1646-1653 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda,T.Sakurai,H.Azagami: "Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions-A Traction Method Approach to Minimum Volume Design-" Current Topics in Computationall Mechanics,ASME. PVP-Vol.305. 319-326 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 下田昌利,畔上秀幸,井原久,桜井俊明: "複数荷重を考慮した線形弾性体の形状最適化(力法による体積最小問題)" 日本機械学会論文集. 61巻A編. 1545-1552 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 呉志強,畔上秀幸: "固有振動問題における領域最適化解析(質量最小化問題)" 日本機械学会論文集. 61巻C編. 2691-2696 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami,M.Shimoda,Z.C.Wu: "Domain Optimization Analysis of Continua" Computational Mechanics'95,Theory and Applications (Proceedings of the ICES95). 177-182 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] E.Katamine H.Azegami: "Domain Optimization Analyses of Flow Fields" Computational Mechanics'95,Theory and Applications (Proceedings of the ICES95). 229-234 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami,M.Shimoda,E.Katamine,Z.C.Wu: "A Domain Optimization technique for Elliptic Boundary value Problems" Computer Aided Optimization Design of Structures IV,Structural Optimization. 51-58 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 呉志強,畔上秀幸: "周波数応答問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 61巻C編. 3968-3975 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami,M.Shimoda,E.Katamine: "A Smooth Shape Optimization Technique for Continua and Flow Fields" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 7-11 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ihara,M.Shimoda,H.Azegami: "Integrated Topology and Shape Optimization for Structural Design Using a General-Purpose FEM Code" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 104-109 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu,H.Azegami,Y.Sogabe,Y.Arimitsu: "Domain Optimization Analysis of Linear Elastic Continua in Vibration Problems" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 236-241 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu,H.Azegami: "Domain Optimization Analysis in Linear Elastic Problems (Approach Using Traction Method)" JSME International Journal. 39巻A編. 4月号掲載予定 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 畔上秀幸,海津 聡,片峯英次,下田昌利: "領域最適化問題の正則性とその改善法" 日本機械学会講演論文集. No.963. 25-26 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami: "A Solution to Domain Optimization Problems" Transactions of the JSME. Vol.60, Series A. 1479-1486 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami, Z.C.Wu: "Domain Optimization Analysis in Linear Elastic Problems (Approach Using Traction Method)" Transactions of the JSME. Vol.60, Series A. 2312-2318 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda, Z.C.Wu, H.Azegami, T.Sakurai: "Numerical Method for Domain Optimization Problems Using a General Purpose FEM Code (Traction Method Approach)" Transactions of the JSME. Vol.60, Series A. 2418-2425 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] E.Katamine, H.Azegami: "Solution to Viscous Folw Field Domain Optimization Problems (Approach by the Traction Method)" Transactions of the JSME. Vol.60, Series B. 3859-3866 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] E.Katamine, H.Azegami: "Domain Optimization Analysis of Potential Folw Field" Transactions of the JSME. Vol.61, Series B. 103-108 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda, H.Azegami, T.Sadkurai: "Multiobjective Shape Optimization of Linear Elastic Structures Considering Multiple Loading Conditions (Dealing with Mean Compliance Minimization Problems)" Transactios of the JSME. Vol.61, Series A. 359-366 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu, H.Azegami: "Domain Optimization Analysis in Natural Vibration Problems (Approach Using traction method)" Transactios of the JSME. Vol.61, Series C. 930-937 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda, T.Sakurai, H.Azegami: "A Traction Method Approach to Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions" Proceedings of the Ninth International Conference on Vehicle Structural Mechanics and CAE,SAE. P-290. 223-234 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] E.Katamina, H.Azegami: "Domain Optimization Analysis of Viscous Flow Field (In the Case of Considering Convective Term)" Transactions of the JSME. Vol.61, Series B. 1646-1653 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda, T.Sakurai, H.Azegami: "Shape Optimazation of Linear Elastic Structures Subject to Multiple Loading Conditions-A Traction Method Approach to Minimum Volume Design-" Current Topics in Computational Mechanics, ASME,PVP-. Vol.305. 319-326 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Shimoda, H.Azegami, H.Ihara, T.Sakurai: "Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions (A Traction Method Approach to Minimum Volume Design)" Transactions of the JSME. Vol.61, Series A. 1545-1552 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu, H.Azegami: "Domain Optimization Analysis in Natural Vibration Problems (Mass Minimization Problems)" Transactions of the JSME. Vol.61, Series C. 2691-2696 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami, M.Shimoda, Z.C.Wu: "Domain Optimization Analysis of Continua" Computational Mechanics'95, Theory and Applications (Proceedings of the ICES95). 177-182 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] E.Katamine H.Azegami: "Domain Optimization Analyzes of Flow Fields" Computational Mechanics'95, Theory and Applications (Proceedings of the ICES95). 229-234 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami, M.Shimoda, E.Katamine, Z.C.Wu: "A Domain Optimization technique for Elliptic Boundary Value Problems" Computer Aided Optimazation Design of Structures IV,Structural Optimization. 51-58 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu, H.Azegami: "Domain Optimization Analysis in Frequency Response Problems (Approach Using Traction Method)" Transactions of the JSME. Vol.61, Series C. 3968-3975 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami, M.Shimoda, E.Katamine: "A Smooth Shape Optimization Technique for Continua and Flow Fields" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 7-11 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Ihara, M.Shimoda, H.Azegami: "Integrated Topology and Shape Optimization for Structural Design Using a General-Purpose FEM Code" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 104-109 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu, H.Azegami Y.Sogabe, Y.Arimitsu: "Domain Optimization Analysis of Linear Elastic Continua in Vibration Problems" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 236-241 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Z.C.Wu, H.Azegami: "Domain Optimization Analysis in Linear Elastic Problems (Approach Using Traction Method)" JSME International Journal. Vol.39, Series A (to appear). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] H.Azegami, S.Kaizu E.Katamine, M.Shimoda: "Regularity of Domain Optimization Problems and Its Improvement Technique" JSME Proceedings. No.963-1. 25-26 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 畔上秀幸: "領域最適化問題の一解法" 日本機械学会論文集. 60巻A編. 1479-1486 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畔上秀幸,呉志強: "線形弾性問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 60巻A編. 2312-2318 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 下田昌利,呉志強,畔上秀幸,桜井俊明: "汎用FEMコードを利用した領域最適化問題の数値解析" 日本機械学会論文集. 60巻A編. 2418-2425 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 片峯英次,畔上秀幸: "粘性流れ場領域最適化問題の解法(力法によるアプローチ)" 日本機械学会論文集. 60巻B編. 3859-3866 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] 片峯英次,畔上秀幸: "ポテンシャル流れ場の領域最適化解析" 日本機械学会論文集. 61巻B編. 103-108 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 呉志強,畔上秀幸: "固有振動問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 61巻C編. 930-937 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 片峯英次,畔上秀幸: "粘性流れ場の領域最適化解析(対流項を考慮した場合)" 日本機械学会論文集. 61巻B編. 1646-1653 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] M.Shimoda,T.Sakurai,H.Azegami: "Shape Optimization of Linear Elastic Structures Subject to Multiple Loading Conditions -A Traction Method Approach to Minimum Volume Design-" Current Topics in Computationall Mechanics, ASME. PVP-Vol.305. 319-326 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 下田昌利,畔上秀幸,井原久,桜井俊明: "複数荷重を考慮した線形弾性体の形状最適化(力法による体積最小問題)" 日本機械学会論文集. 61巻A編. 1545-1552 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 呉志強,畔上秀幸: "固有振動問題における領域最適化解析(質量最小化問題)" 日本機械学会論文集. 61巻C編. 2691-2696 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Azegami,M.Shimoda,Z.C.Wu: "Domain Optimization Analysis of Continua" Computational Mechanics'95,Theory and Applications(Proceedings of the ICES95). 177-182 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] E.Katamine H.Azegami: "Domain Optimization Analyses of Flow Fields" Computational Mechanics'95,Theory and Applications(Proceedings of the ICES95). 229-234 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Azegami,M.Shimoda,E.Katamine,ZC.Wu: "A Domain Optimization technique for Elliptic Boundary Value Problems" Computer Aided Optimization Design of Structures IV,Structural Optimization. 51-58 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 呉志強,畔上秀幸: "周波数応答問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 61巻C編. 3968-3975 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Azegami,M.Shimoda,E.Katamine: "A Smooth Shape Optimization Technique for Continua and Flow Fields" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 7-11 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Ihara,M.Shimoda,H.Azegami: "Integrated Topology and Shape Optimization for Structural Design Using a General-Purpose FEM Code" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 104-109 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Z.C.Wu,H.Azegami Y.Sogabe,Y.Arimitsu: "Domain Optimization Analysis of Linear Elastic Continua in Vibration Problems" Proceedings of Second China-Japan Symposium on Optimization of Structural and Mechanical Systems. 236-241 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Z.C.Wu,H.Azegami: "Domain Optimization Analysis in Linear Elastic Problems(Approach Using Traction Method)" JSME International Journal. 39巻A編(4月号掲載予定). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 畔上秀幸: "領域最適化問題の一解法" 日本機械学会論文集. 60巻A編. 1479-1486 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 畔上秀幸,呉志強: "線形弾性問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 60巻A編. 2312-2318 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 下田昌利,呉志強,畔上秀幸,桜井俊明: "汎用FEMコードを利用した領域最適化問題の数値解析" 日本機械学会論文集. 60巻A編. 2418-2425 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 片峯英次,畔上秀幸: "粘性流れ場領域最適化問題の解法(力法によるアプローチ)" 日本機械学会論文集. 60巻B編. 3859-3866 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 片峯英次,畔上秀幸: "ポテンシャル流れ場の領域最適化解析" 日本機械学会論文集. 60巻B編. 103-108 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 呉志強,畔上秀幸: "固有振動問題における領域最適化解析(力法によるアプローチ)" 日本機械学会論文集. 60巻C編(3月号掲載予定). (1995)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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