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Research on Applications of the Group Theory Based Combinatorics Methods to Design Engineering

Research Project

Project/Area Number 07805016
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 設計工学・機械要素・トライボロジー
Research InstitutionHOKKAIDO UNSTITUTE OF TECHNOLOGY

Principal Investigator

NARITA Yoshihiro  Hokkaido Institute of Technology, Dept.of Mechanical Engineering, Professor, 工学部・機械工学科, 教授 (00137407)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1996: ¥300,000 (Direct Cost: ¥300,000)
KeywordsGroup Theory / Combinatorics / Design Engineering / Polya Counting Theory / Composite Materials / Optimization
Research Abstract

In the fiscal year of 1995, basic ideas were developed to apply the combinatorics methods, which were based on the group theory, to mechanics and design problems in mechanical engineering. Particulary, an extension of "Polya Counting Theory", which was applied to some problems in the author's previous studies, was investigated. For the purpose, the cyclic polynomial approach was extended to include "indexed" polynomials. The alogorithm flows and software techniques were established by using the indexed cyclic polynomials, when some engineering problems were concerned.
In the fiscal year of 1996, the approach was applied to more realistic problems in engineering, such as combinations in mechanical behaviors of laminated composite plates and shells. Some analytical methods were also developed to effciently calculate the mechanical behaviors of laminated composite components. Two manuscripts are under final preparation to be submitted to foreign engineering journals. The titles are "Combinations of Dynamic Behaviors of Composite Rectangular Plates Under General Boundary Conditions" and "The combinatorics Study in Dynamic Behaviors of Laminated Shallow Shells".

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] Y.Narita,M.Itoh,X,Zhao: "Optimal Design by Genetic Algorithm for Maximum Frequency of Laminated Shallow Shell" Advanced Composite Letters. Vol.5,No.1. 21-24 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita: "Application of the Three Dimensional Analysis to Crossply Thick Cylindersand Circulavplates" Proc.of the 17th European Conf.on Composite Materials. Vol.17,No.2. 271-276 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita: "A Method for Soluing the Three Dimensional Vibration of a Unidirectional Composite Parallelepiped" Material Science Research International. Vol.2,No.2. 105-110 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 成田吉弘・福士賢一: "古典板理論に基づく一般積層長方形板の力学解析プログラム" 日本機械学会論文誌(A編). Vol.62,No.603. 2621-2627 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 趙希禄・成田吉弘: "Complex法による一般的な積層長方形板の基本振動数の最大化設計" 日本機械学会論文誌(C編). Vol.63,No.606. 364-370 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 成田吉弘: "機械系ダイナミクスにおける未解決問題" 日本機械学会誌. Vol.100,No.939. 211-214 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 成田吉弘・伊藤吉保・清水信行: "FD活用材料力学" 共立出版, 159 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 鈴木勝義・山田元・成田吉弘・斉藤俊: "シェルの振動入門" コロナ社, 214 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.NARITA,M.ITOH and X.ZHAO: "Optimal Design by Genetic Algorithm for Maximum fundamental Frequency of Laminated shallow Shell" Advanced Composite Letters. Vol.5, No.1. 21-24 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.NARITA: "Appllication of the Three Dimensional Analysis to Cross-ply Thick Cylinders and Circular Plates" Proc.17th European Conf.on Comp.Mat.Vol.2. 271-276 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.NARITA: "A Method for Solving the Three Dimensional Vibration of the unidirectional composite Parallelopiped" Materials Science Research International. Vol.2, No.2. 105-110 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita, and K.Fukshi: "Computation Program of generally laminated Rectangular Plates Based on the Classical Plate Theory (in Japanese)" Trans.JSME. Vol.62, No.603A. 2621-2627 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] X.Zhao and Y.Narita: "Maximization of fundamental Frequency for Generally Laminated Rectangular Plates by the Complex Method (in Japanese)" Trans.JSME. Vol.63, No.606C. 364-370 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita: "Some Unsolved Problems in Dynamics of Mechanical Systems (in Japanese)" J.JSME. vol.100, No.939. 211-214 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita, Y.Itoh and N.Shimizu: Strength of Materials (in Japanese). Kyoritsu Pub.Co., (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Suzuki, G.Yamada, Y.Narita, and S.Saito: Introduction to Vibration of Shells (in Japanese). Corona, Pub.Co., (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Narita,M.Itoh,X.Zhao: "Optimal Design by Genetic Algorithm for Maximum Frequency of Laminated Shallow Shell" Advanced Composite Letters. Vol.5,No.1. 21-24 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Narita: "Application of the Three Dimensional Analysis to Cross-ply Thick Cylinders and Ciradar Plates" Proceedings of the 17th European Cnference on Composite Materials. Vol.17,No.2. 271-276 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Narita: "A Method for Sloving the Three Dimensinal Vibration of a Unidirectional Composite Pavallelepiped" Material Science Research International. Bol.2,No.2. 105-110 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 成田吉弘、福士賢一: "古典板理論に基づく一般積層長方形板の力学解析プログラム" 日本機械学会論文誌(A編). Vol.62,No.603. 2621-2627 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 趙希禄、成田吉弘: "Complex法による一般的な積層長方形板の基本振動数の最大化設計" 日本機械学会論文誌(C編). Vol.63,No.606. 364-370 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 成田吉弘: "機械系ダイナミクスにおける未解決問題" 日本機械学会誌. Vol.100,No.939. 211-214 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 成田吉弘、伊藤吉保、清水信行: "FD活用材料力学" 共立出版, 159 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 鈴木勝義、山田元、成田吉弘、斎藤俊: "シェルの振動入門" コロナ社, 214 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 成田吉弘・趙希録: "積層偏平シェルの振動特性の最適化" 日本機械学会論文集C編(3月号). 第62巻. (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 太田佳樹・成田吉弘: "多層理論を用いたクロスプライ積層平板の振動解析" 日本機械学会論文集C編. 第62巻. 444-450 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] Y. Narita: "A Method for Solving the Three Dimensional Vibration of a Unidirectonal Composite Parallelopiped." Materials Science Research International (日本材料学会英文誌). (受理済). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] 成田吉弘・伊藤吉保・清水信行: "FD活用材料力学" 共立出版(株), 205 (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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