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Development of efficient nonlinear analysis method using accelerated gradient method for three dimensional frame structures

Research Project

Project/Area Number 16H06792
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Building structures/Materials
Research InstitutionTokyo Institute of Technology

Principal Investigator

Fujita Shinnosuke  東京工業大学, 科学技術創成研究院, 助教 (80775958)

Research Collaborator KANNO Yoshihiro  
OHSAKI Makoto  
YAMAMOTO Hiraku  
Project Period (FY) 2016-08-26 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords適応再スタート付き加速勾配法 / 大規模問題 / ポテンシャルエネルギー最小化 / 幾何学的非線形 / 加速勾配法 / 材料非線形 / 複合非線形 / 加速付き勾配法 / 大規模非線形問題
Outline of Final Research Achievements

The main purpose of this study is that the improvement of the quality of the structural design by applying acceleration gradient method with adaptive restart (hereinafter referred to as acceleration gradient method) to the nonlinear structural analysis and decreasing the calculation time for large scale problem.
First, for elastic analysis, we compared and verified the method (1):directly solving the stiffness equation and (2):solving the potential energy minimization problem with the acceleration gradient method. In the case of a very large problem, it was confirmed that the method (2) can solve the problem with less calculation cost than method (1). In addition, also for geometrically nonlinear analysis, it was confirmed that the calculation time tended to be lower for (2) than (1) for the very large problem.

Report

(3 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • Research Products

    (2 results)

All 2017 2016

All Presentation (2 results)

  • [Presentation] 加速勾配法による大規模骨組構造の弾性解析2017

    • Author(s)
      山本 発,寒野 善博,藤田 慎之輔
    • Organizer
      日本建築学会大会学術講演会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 骨組の幾何学的非線形解析に対する加速勾配法2016

    • Author(s)
      藤田慎之輔, 寒野善博, 大崎純
    • Organizer
      日本機械学会 第12回最適化シンポジウム2016 (OPTIS2016)
    • Place of Presentation
      北海道大学
    • Year and Date
      2016-12-06
    • Related Report
      2016 Annual Research Report

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Published: 2016-09-02   Modified: 2019-03-29  

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