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Development of uncertainty analysis methods for numerical analysis of partial differential equations

Research Project

Project/Area Number 26630451
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Naval and maritime engineering
Research InstitutionYokohama National University

Principal Investigator

Kawamura Yasumi  横浜国立大学, 大学院工学研究院, 教授 (50262407)

Co-Investigator(Kenkyū-buntansha) 宮路 幸二  横浜国立大学, 大学院工学研究院, 准教授 (60313467)
Co-Investigator(Renkei-kenkyūsha) HINO Takanori  横浜国立大学, 大学院工学研究院, 教授 (60373429)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords不確定性解析 / 材料・構造力学 / 流体力学 / 応答曲面 / 多項式カオス展開 / カオス多項式展開 / 流体 / 構造・流体 / PCE
Outline of Final Research Achievements

In order to evaluate the uncertainty of response for the problem with inherent uncertainties, Monte Carlo simulation (MCS) is usually used in which many deterministic analyses should be carried out by changing the inherent uncertainty parameters. However, as the problem becomes more complicated, the cost of the analysis becomes high so that application of MCS for the uncertainty analysis becomes difficult. In this study, by applying response surface methodology with polynomial chaos expansion (PCE) to the partial differential equations directly, the stochastic analysis formulation is developed which is a natural extension of the deterministic problem to the space of random variables. The effectiveness and validity of the stochastic formulation is investigated for the structural problems (elastostatics and eigenvalue problem) and the fluid problems (compressible quasi-1D flow).

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (18 results)

All 2017 2016 2015 2014

All Journal Article (9 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results,  Acknowledgement Compliant: 9 results) Presentation (9 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] 多項式カオス展開を用いた遷音速ノズル流れの不確定性解析の研究2017

    • Author(s)
      宮路幸二, 上野藤太, 川村恭己
    • Journal Title

      日本航空宇宙学会論文集

      Volume: 掲載予定

    • NAID

      130005906873

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Development of Structural Analysis Method with Uncertainty in Shape to Follow Non-normal Distribution by Stochastic Finite Element Method2016

    • Author(s)
      陳曦, 川村恭己、岡田哲男
    • Journal Title

      Transactions of the Japan Society for Computational Engineering and Science

      Volume: 2016 Issue: 0 Pages: 20160019-20160019

    • DOI

      10.11421/jsces.2016.20160019

    • NAID

      130005262147

    • ISSN
      1347-8826
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 多項式カオス展開を用いた準一次元流れの不確定性解析2016

    • Author(s)
      上野藤太、宮路幸二、川村恭己
    • Journal Title

      日本航空宇宙学会第48回流体力学講演会/第34回航空宇宙数値シミュレーション技術シンポジウム

      Volume: JSASS-2016-2101-A

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] 応答曲面を用いたフラッタ予測の不確定性解析2016

    • Author(s)
      安東如水,宮路幸二,川村恭己
    • Journal Title

      日本航空宇宙学会第48回流体力学講演会/第34回航空宇宙数値シミュレーション技術シンポジウム

      Volume: JSASS-2016-2097-A

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Stochastic finite element method based on response surface methodology considering uncertainty in shape of structures2016

    • Author(s)
      Xi Chen, Yasumi Kawamura, Tetsuo Okada,
    • Journal Title

      Proceedings of The 13th International Symposium on Practical Design of Ships and Other Floating Structures (PRADS2016)

      Volume: 1

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] バーガーズ方程式の多項式カオス展開による不確定性解析2015

    • Author(s)
      上野藤太,川村 恭己,宮路 幸二
    • Journal Title

      計算工学講演会論文集

      Volume: 20

    • NAID

      40020498166

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] A Study on the Method of Structural Analysis with Uncertainty in Shape by Stochastic Finite Element Method2015

    • Author(s)
      陳 曦, 川村恭己, 岡田哲男
    • Journal Title

      Journal of the Japan Society of Naval Architects and Ocean Engineers

      Volume: 22 Issue: 0 Pages: 187-195

    • DOI

      10.2534/jjasnaoe.22.187

    • NAID

      130005128603

    • ISSN
      1880-3717, 1881-1760
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Study on Numerical Analysis of the Aerodynamic Characteristics and the Flight Trajectory of Balloon-based Operation Vehicle2015

    • Author(s)
      Kao Ito, Koji Miyaji, Yasumi Kawamura, Yusuke Maru, Kazuhisa Fujita, Shujiro Sawai
    • Journal Title

      Proc. of 7th Asia-Pacific International Symposium on Aerospace Technology

      Volume: 1

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] 確率有限要素法による形状不確定性を考慮した構造解析手法について2014

    • Author(s)
      陳 曦,川村恭己
    • Journal Title

      日本船舶海洋工学会講演会論文集

      Volume: 19号 Pages: 245-248

    • NAID

      130005128603

    • Related Report
      2014 Research-status Report
    • Acknowledgement Compliant
  • [Presentation] 固有値問題における不確定性解析手法について2017

    • Author(s)
      Xi Chen
    • Organizer
      日本船舶海洋工学会第45回東部構造研究会
    • Place of Presentation
      日本海事協会管理センター
    • Related Report
      2016 Annual Research Report
  • [Presentation] Stochastic finite element method based on response surface methodology considering uncertainty in shape of structures2016

    • Author(s)
      Xi Chen
    • Organizer
      The 13th International Symposium on Practical Design of Ships and Other Floating Structures (PRADS2016)
    • Place of Presentation
      Copenhagen
    • Year and Date
      2016-09-04
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多項式カオス展開を用いた準一次元流れの不確定性解析2016

    • Author(s)
      上野藤太
    • Organizer
      日本航空宇宙学会第48回流体力学講演会/第34回航空宇宙数値シミュレーション技術シンポジウム
    • Place of Presentation
      金沢歌劇座
    • Year and Date
      2016-07-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] 応答曲面を用いたフラッタ予測の不確定性解析2016

    • Author(s)
      安東如水
    • Organizer
      日本航空宇宙学会第48回流体力学講演会/第34回航空宇宙数値シミュレーション技術シンポジウム
    • Place of Presentation
      金沢歌劇座
    • Year and Date
      2016-07-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] Study on Numerical Analysis of the Aerodynamic Characteristics and the Flight Trajectory of Balloon-based Operation Vehicle2015

    • Author(s)
      Kao Ito
    • Organizer
      Proc. of 7th Asia-Pacific International Symposium on Aerospace Technology
    • Place of Presentation
      Hilton Cairns, Queensland, Australia
    • Year and Date
      2015-11-25
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] バーガーズ方程式の多項式カオス展開による不確定性解析2015

    • Author(s)
      上野藤太
    • Organizer
      計算工学講演会
    • Place of Presentation
      つくば国際会議場
    • Year and Date
      2015-06-08
    • Related Report
      2015 Research-status Report
  • [Presentation] 不確定性解析手法について(確率有限要素法による形状不確定性を考慮した構造解析手法について)2015

    • Author(s)
      川村恭己
    • Organizer
      日本船舶海洋工学会第39回 東部構造研究会
    • Place of Presentation
      横浜国立大学教育文化ホール中集会室
    • Year and Date
      2015-05-20
    • Related Report
      2015 Research-status Report
  • [Presentation] 確率有限要素法による形状不確定性を考慮した構造解析手法について2014

    • Author(s)
      陳 曦,川村恭己
    • Organizer
      日本船舶海洋工学会講演会
    • Place of Presentation
      長崎ブリックホール
    • Year and Date
      2014-11-21 – 2014-11-22
    • Related Report
      2014 Research-status Report
  • [Presentation] Elastic large deflection analysis of steel plates with random initial distortion subject to compressive loading2014

    • Author(s)
      Riddhideep Mandal and Yasumi Kawamura
    • Organizer
      International Conference of ASRANet (Proceedings of ASRANet2014), Safety & Reliability of Ships, Offshore & Subsea Structures
    • Place of Presentation
      Thistle Hotel, Cambridge Street, Glasgow - G2 3HN, Scotland, UK
    • Year and Date
      2014-08-18 – 2014-08-20
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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