• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Numerical Approximation for Elastic Shell Bending Problems by Boundary Element Method

Research Project

Project/Area Number 63550421
Research Category

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

Allocation TypeSingle-year Grants
Research Field Building structures/materials
Research InstitutionNihon University

Principal Investigator

TOSAKA Nobuyoshi  Nihon University, College of Industrial Technology, Professor, 生産工学部, 教授 (00059776)

Project Period (FY) 1988 – 1989
Project Status Completed (Fiscal Year 1989)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1989: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1988: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsBoundary Element Method / Boundary Integral Equation / Fundamental Solution / Linear Bending Problem / Displacement Method / Shallow Spherical Shell / Uniformly Distributed Load / Concentrated Load / 弾性シェル / 応力関数法 / 偏平2次曲面シェル / 非偏平球形シェル / 円筒形シェル
Research Abstract

There exist two approaches for analyzing bending problems of elastic shallow shells. One is the stress function method and the other is the displacement method. In this research we developed the boundary element solution procedure based on the displacement approach for numerical solutions of linear bending problems of elastic shallow shells.The research results obtained in this research project are summarized as follows:
1. Boundary Integral Equation Formulation of Problems The boundary integral equations of the problems were derived and the related fundamental solution was constructed. 2. Proposal for Numerical Solution Procedure In order to numerically the system of boundary integral equations, we proposed an effective solution procedure with use of the constant element. 3. Performance of Numerical Calculation Numerical calculations were performed for shallow spherical shells with two kinds of curvature of simply supported or fixed boundary condition subjected to uniformly distributed or concentrated load. The results were compared with Fourier-series solutions.

Report

(3 results)
  • 1989 Annual Research Report   Final Research Report Summary
  • 1988 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] 登坂宣好: "Boundary Element Analysis of Shallow Spherical Shells" Proceedings of 10 Years Of Progress in Shell and Spatial Structures,30 Anniversary of IASS. 2. (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 三宅修平: "Boundary Element Analysis of Shallow Spherical Shell Bending Problems Describing with Displacement Vector Components" Advances in Boundary Elements. 1. 3-12 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 登坂宣好: "Integral Equation Method for Shell Bending Problems" Proceedings of Computational Mechanics '88. 23.i.1-23.i.4 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 横山和人: "偏平殼の変位法による境界要素解析" 構造工学における数値解析法シンポジウム論文集. 13. 167-172 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 横山和人: "変位表現された偏平球形シェル曲げ問題の境界要素解析" 境界要素法論文集. 6. 229-234 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 横山和人: "Boundary Element Analysis for Shallow Spherical Shell Bending Problem by the Displacement Method" Proceedings of Third Japan-China Symposium on Boundary Element Methods. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Tosaka, N: "Integral Equation Method for Shell Bending Problems" Proceedings of Computational Mechanics '88, 23.i.1-23.i, 4, 1988.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Tosaka, N and S.Miyake: "Boundary Element Analysis of Shallow Spherical Shells" Proceedings of 10 Years of Progress in Shell and Spatial Structure, 30 Anniversary of IASS, Vol.2, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Miyake, S, H, Yamazaki, K, Yokoyama and N, Tosaka: "Boundary Element Analysis of Shallow Spherical Shell Bending Problem Describing with Displacement Vector Component" Advances in Boundary Elements, Vol.1, 3-12, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Yokoyama, K., H, Yamazaki, S, Miyake and N, Tosaka: "Boundary Element Analysis for Bending Problem of Elastic Shallow Spherical Shell with Displacement Approach" Proceedings of Symposium on Computational Methods in Structual Engineering and, Related Fields, Vol.13, 167-172, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Yokoyama, K., S, Miyake and N, Tosaka: "Boundary Element Analysis for Bending Problems of Shallow Spherical Shell Described with Displacement" Proceedings of the Sixth Japan National Symposium on Boundary Element Methods, Vol.6, 229-234, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 登坂宣好: "Boundary Element Analysis of Shallow Spherical Shells" Proceedings of 10Years of Progress in Shell and Spatial Structures,30 Anniversary of IASS. 2. (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 三宅修平: "Boundary Element Analysis of Shallow Spherical Shell Bending Problems Describing with Displacement Vector Components" Advances in Boundary Elements. 1. 3-12 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 横山和人: "偏平殻の変位法による境界要素解析" 構造工学における数値解析法シンポジウム論文集. 13. 167-172 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 横山和人: "変位表現された偏平球形シェル曲げ問題の境界要素解析" 境界要素法論文集. 6. 229-234 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] N.Tosaka.: Computational Mechanics '88. 1988. (23.i.1-23.i.4)

    • Related Report
      1988 Annual Research Report
  • [Publications] 横山和人、山崎ひろみ、三宅修平、登坂宣好: 構造工学における数値解析法シンポジウム論文集. 13. (1989)

    • Related Report
      1988 Annual Research Report
  • [Publications] S.Miyake.・H.Yamazaki.・K.Yokoyama.・N.Tosaka.: Proceedings of 11th International Conference on Boundary Element Methods in Engineering. 1989.

    • Related Report
      1988 Annual Research Report
  • [Publications] N.Tosaka.S.Miyake.: Proceedings of I.A.S.S. '89. 1989.

    • Related Report
      1988 Annual Research Report

URL: 

Published: 1988-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi