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Development of Numerical Method with High Accuracy using Incremental Perturbation Method for Predicting Critical Behaviors of Spatial Frames

Research Project

Project/Area Number 05452253
Research Category

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

Allocation TypeSingle-year Grants
Research Field Building structures/materials
Research InstitutionKyoto Institute of Technology

Principal Investigator

ISHIDA Shuzo  Kyoto Institute of Technology, Faculty of Engineering and Design, Professor, 工芸学部, 教授 (90027889)

Co-Investigator(Kenkyū-buntansha) TUJI Masaaki  Kyoto Institute of Technology, Faculty of Engineering and Design, Research Assoc, 工芸学部, 助手 (00243121)
MORISAKO Kiyotaka  Kyoto Institute of Technology, Faculty of Engineering and Design, Associate Prof, 工芸学部, 助教授 (90127168)
Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥6,700,000 (Direct Cost: ¥6,700,000)
Fiscal Year 1994: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1993: ¥5,700,000 (Direct Cost: ¥5,700,000)
KeywordsSteel Frames / Spatial Frames / Critical Behaviors / Lateral Buckling / Torsion / Beam-column FEM / Incremental Perturbation Method / 3-D Finite Rotation / 梁-柱有限要素
Research Abstract

In structural design, it is indispensable to predict the final state of the structure as accurately as possible. The most definite final state is a mechanical critical state of structure under various external disturbances. The aim in this research is to develope the high-precise numerical analysis method that is able to simulate various critical behaviors of spatial steel frames. In the derivation of the analysis method, 3-dimensional finite rotation is very carefully dealt and the incremental perturbation method is adopted to ensure the accuracy of simulation of the critical behaviors. The results in this research are summarized as follows :
(1) A critical behavior of timber single-layr lattice dome with steel joint-members is simulated sufficiently by the beam-column FEM method refined in this research. The rotational buckling of joints observed in a full-scale experiment is almost perfectly by this method. The second bifurcation of rotational buckling of joints is shown at first in this numerical experiment.
(2) A numerical method is proposed which is able to predict with good accuracy the critical behavior of elastic spatial frames with flexural torsion. The warping function is used for estimating the flexural torsion in elements. The lateral buckling behaviors of elastic beams are analyzed by the proposed method.
(3) An effective strategy for truncation error control is proposed in order to compute an appropriate value of the time length in a numerical dynamic analysis of structure. The strategy estimates relative truncation errors both in odd power terms and in even power terms of perturbation expansion series, and is demonstrated to be efficient and accurate in a free vibration response of a linear single-degree-of-freedom system.

Report

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

    (13 results)

All Other

All Publications (13 results)

  • [Publications] 西村督: "単層ラチスドームを構成する単位骨組の臨界挙動解析" 構造工学論文集. 40B. 53-60 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 西村督: "増分摂動法を用いた立体骨組解析法による単層ラチスドームの臨界挙動解析" 日本建築学会大会学術講演梗概集. 1841-1842 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 奥田伊織: "曲げ捩れを考慮した弾性立体骨組の大たわみ解析法" 日本建築学会近畿支部研究報告集. 第34号. 385-388 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 飯島憲一: "構造物の動的解析における増分摂動法の打ち切り誤差制御法" 構造工学論文集. 41B. (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] NISHIMURA,Toku et al.: "Numerical Analysis of Critical Behavior of Unit Frame in Single-Layr Lattice Dome" Journal of the Structural Engineering. Vol.40B. 53-60 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] NISHIMURA,Toku et al.: "Numerical Analysis of Critical Behavior of Single-Layr Lattice Dome by Incremental Perturbation Method" Summaries of Technical Papers of Annual Meetings of the Architectural Institute of Japan. 1841-1842 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] OKUDA,Iori et al.: "A Numerical Method for Critical Behavior of Elastic Space Frames with Flexural Torsion" Technical Reports of Annual Meetings of Kinki Branch of the Architectural Institute os Japan. 385-388 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] IIJIMA,Kenichi et al.: "Strategy for Truncation Error Control of Incremental Perturbation Method in Dynamic Analysis of Structures" Journal of the 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] 西村 督: "単層ラチスドームを構成する単位骨組の臨界挙動解析" 構造工学論文集. 40B. 53-60 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 西村 督: "増分摂動法を用いた立体組立骨組解析法による単層ラチスドームの臨界挙動解析" 日本建築学会大会学術講演梗概集. 1841-1842 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 奥田伊織: "曲げ捩れを考慮した弾性立体骨組の大たわみ解析法" 日本建築学会近畿支部研究報告集. 第34号. 385-388 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 飯島憲一: "構造物の動的解析における増分摂動法の打ち切り誤差制御法" 構造工学論文集. 41B. (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 西村督: "単層ラチスドームを構成する単位骨組の臨界挙動解析" 構造工学論文集. Vol.40B. (1994)

    • Related Report
      1993 Annual Research Report

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

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