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Study on Optimization Method for Structural Design with Discrete Design Variables

Research Project

Project/Area Number 05452250
Research Category

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

Allocation TypeSingle-year Grants
Research Field Building structures/materials
Research InstitutionMIE UNIVERSITY

Principal Investigator

KOHAMA Yoshiro  MIE univ., Faculty of Eng., Professor, 工学部, 教授 (50023304)

Co-Investigator(Kenkyū-buntansha) TAKADA Toyofumi  MIE univ., Faculty of Eng., Research Assoc., 工学部, 助手 (90242932)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥5,100,000 (Direct Cost: ¥5,100,000)
Fiscal Year 1994: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1993: ¥3,900,000 (Direct Cost: ¥3,900,000)
KeywordsOptimum Structural Design / Combinatorial Optimality / Allocation of Shear Walls / Dynamic Programming / Branch and Bound Method / Fuzzy Theory / 組合せ最適化問題 / 耐震壁配置計画 / 分枝限定法 / Prolog / 最適設計 / 耐震壁配置問題
Research Abstract

There are many structural design problems including combinatorial optimality that has a lack of differentiability of design parameters. This study deals with application of discrete optimum methods to the structural design such as shear-wall allocation problem and investigation of efficient searching techniques. Because of discrete design variables, the shear-wall allocation problem can be described as a combinatorial optimality under the constraints from architectural, structural and constructional aspects. In this study the structural constraints can be also described in fuzzy expressions in order to consider the fuzziness in practical design.
From this study it is realized that the branch-and-bound method can accelerate reduction of searching space more prominently than the dynamic programming (DP) and the optimal solution can not be always obtained by DP with regard to the present optimality. Moreover it is realized that the enormous searching space can be reduced by the following bounding methods,
1.simplifying by relaxation of some constraints
2.grouping of the wall allocations
3.reduction by the dominant test
Owing to mathematical expression of these searching rules, structural design aided by computers is possible. The optimal allocation of shear-walls in about 8 stories 3D frame can be obtained efficiently by our technique systematically by means of computer.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (36 results)

All Other

All Publications (36 results)

  • [Publications] 高田豊文: "ファジィ制約下における立体架構の最適配置設計" 第12回シミュレーション・テクノロジー・コンファレンス発表論文集. 23-26 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 高田豊文: "分岐限定法の構造最適化問題への応用" 日本建築学会学術講演梗概集. A. 1647-1648 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 太田彰: "分岐限定法による耐震壁配置の最適化手法に関する研究" 日本建築学会学術講演梗概集. A. 1649-1650 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小浜芳朗: "分岐限定法を利用した耐震壁の最適配置設計" 第3回システム最適化に関するシンポジウム講演論文集. 167-172 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 太田彰: "分岐限定法による最新壁配置設計に関する研究(0-1計画法による各層最適化の効率化)" 日本建築学会東海支部研究報告集. 第32号. 133-136 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 高田豊文: "分岐限定法による最新壁配置設計に関する研究(高さ方向最適化の効率化)" 日本建築学会東海支部研究報告集. 第32号. 137-140 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小浜芳朗: "0-1計画問題による耐震壁の最適配置設計" 構造工学論文集. Vol.40B. 235-242 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Yoshiro Kohama: "A combinatorial Optimality of Shear Element Allocation" Proc. of the 9th International Conference on Applications of Artificial Intelligence in Engineering. 431-438 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 太田彰: "分岐限定法による最適耐震壁配置設計(壁厚種が複数ある場合の最適化)" 日本建築学会学術講演梗概集. B. 1223-1224 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 高田豊文: "分岐限定法による最適耐震壁配置設計(壁配置状態の表現方法の改良)" 日本建築学会学術講演梗概集. B. 1225-1226 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小浜芳朗: "分岐限定法による耐震壁最適配置設計(優越テストによる探索効率の改善)" 日本建築学会東海支部研究報告集. 第33号. 261-264 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小浜芳朗: "耐震壁の最適配置設計における解探索の効率化(発表予定)" 構造工学論文集. Vol.41B. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Takada: "Optimal Allocation of Shear-Wall in Space Frame with Fuzzy Constraints" Proc.of the 12th Simulation Technology Conference. 23-26 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Takada: "Application of Branch-and-Bound Method to Structural Optimality" Summaries of Technical Papers of Annual Meeting A.I.J., A. 1647-1648 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] A.Ohta: "Study on Optimum Method of Shear-Wall Allocation by Branch-and-Bound Method" Summaries of Technical Papers of Annual Meeting A.I.J., A. 1649-1650 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kohama: "Optimal allocation of Shear-Wall by Branch-and-Bound Method" Proc.of the Symposium on System Optimization. 167-172 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] A.Ohta: "Study on Optimal Allocation of Shear-Wall by Branch-and-Bound Method (Effectivity of optimality at each story by 0-1 Programming Problem)" Research Reports of Tokai branch office of A.I.J. No.32. 133-136 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Takada: "Study on Optimal Allocation of Shear-Wall by Branch-and-Bound Method (Effectivity of Optimality in the Story Direction)" Research Reports of Tokai branch office of A.I.J. No.32. 137-140 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kohama: "Optimal Allocation of Shear-Wall by 0-1 Programming Problem" Journal of Structural Engineering. Vol.40B. 235-242 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kohama: "A Combinatorial Optimality of Shear Element Allocation" Proc.of the 9th International Conference on Applications of Artificial Intelligence in Engineering. 431-438 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] A.Ohta: "Optimal Allocation of Shear-Wall by Branch-and-Bound Method (Optimality with Some Kinds of Thickness of Shear-Wall)" Summaries of Technical Papers of Annual Meeting A.I.J., B. 1223-1224 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] T.Takada: "Optimal Allocation of Shear-wall by Branch-and-Bound Method (Improvement on Expression of Wall Allocation)" Summaries of Technical Papers of Annual Meeting A.I.J., B. 1225-1226 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kohama: "Optimal Allocation of Shear-wall by Branch-and-Bound Method (Effective Search by Dominant Test)" Research Reports of Tokai branch office of A.I.J. No.33. 261-264 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Kohama: "Efficient Search for Optimal Allocation of Shear-Wall (Prepublication)" Journal of Structural Engineering. Vol.41B. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 小浜,芳朗: "0-1計画問題による耐震壁の最適配置設計" 構造工学論文集. 40B. 235-242 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Y.Kohama: "AcombinaTorial opTimality of shear elemenT allocaTion" ApplicaTions of ArTificial Intelligence in Engineering. IX. 431-438 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 高田,豊文: "分枝限定法による最適耐震壁配置設計(壁配置状態の表現方法の改良)" 日本建築学会学術講演梗概集. B. 1225-1226 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 太田 彰: "分枝限定法による最適耐震壁配置設計(壁厚種が複数ある場合の最適化)" 日本建築学会学術講演梗概集. B. 1223-1224 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 小浜,芳朗: "分枝限定法による耐震壁最適配置設計(優越テストによる探索効果の改善)" 東海支部研究報告集. 第33号. 261-264 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 小浜,芳朗: "耐震壁の最適配置設計における解探索の効率化" 構造工学論文集. 41B(未発表). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 高田 豊文: "ファジィ制約下における立体架構の最適壁配置設計" 第12回シミュレーション・テクノロジー・コンファレンス発表論文集. 23-26 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小浜 芳朗: "分枝限定法を利用した耐震壁の最適配置設計" 第3回システム最適化に関するシンポジウム講演論文集. 167-172 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 太田 彰: "分枝限定法による耐震壁配置の最適化手法に関する考察" 日本建築学会学術講演梗概集. A. 1649-1650 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小浜 芳朗: "分枝限定法による最適壁配置設計に関する研究(0-1計画法による各層最適化の効率化)" 東海支部研究報告集. 第32号. 133-136 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小浜 芳朗: "分枝限定法による最適壁配置設計に関する研究(高さ方向最適化の効率化)" 東海支部研究報告集. 第32号. 137-140 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小浜 芳朗: "0-1計画問題による耐震壁の最適配置設計(末発表)" 構造工学論文集. 40B. (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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