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Reliability analysis of nonlinear systems subjected to non-Gaussian random excitation

Research Project

Project/Area Number 26820073
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Dynamics/Control
Research InstitutionTokyo Institute of Technology

Principal Investigator

Tsuchida Takahiro  東京工業大学, 情報理工学研究科, 助教 (50707578)

Project Period (FY) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords不規則振動 / 信頼性解析 / 非ガウス性不規則励振 / 応答分布 / 平均閾値通過率 / 等価非ガウス励振化法 / 信頼度関数 / 応答分布推定
Outline of Final Research Achievements

The dynamic system subjected to non-Gaussian random excitation was studied. The excitation was prescribed by the non-Gaussian probability density and the power spectrum. First, equivalent non-Gaussian excitation method was proposed to obtain the moments up to the fourth order of the response of systems under non-Gaussian random excitation. The method yields the variance of the response exactly and estimate the skewness and kurtosis of the response accurately.Secondly, the method based on the minimum cross entropy principle was presented for obtaining the response distributions of nonlinear systems under non-Gaussian random excitation. Then, three types of a priori distributions were proposed. Finally, the method was proposed to obtain the the mean upcrossing rate of linear systems subjected to non-Gaussian random excitation. This method is valid for the non-Gaussian excitation with the asymmetric or heavy-tailed distribution and a wide range of the bandwidth.

Report

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

    (17 results)

All 2016 2015 2014

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 5 results,  Acknowledgement Compliant: 3 results) Presentation (12 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Response analysis of non-Gaussian randomly excited systems via minimum cross entropy method2016

    • Author(s)
      土田崇弘,木村康治
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 82 Issue: 835 Pages: 15-00528-15-00528

    • DOI

      10.1299/transjsme.15-00528

    • NAID

      130005140002

    • ISSN
      2187-9761
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Equivalent Non-Gaussian Excitation Method for a Linear System Subjected to a Non-Gaussian Random Excitation2015

    • Author(s)
      Takahiro Tsuchida and Koji Kimura
    • Journal Title

      Theoretical and Applied Mechanics Japan

      Volume: 63 Issue: 0 Pages: 81-90

    • DOI

      10.11345/nctam.63.81

    • NAID

      130005103429

    • ISSN
      1348-0693, 1349-4244
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Application of equivalent non-Gaussian excitation method for systems subjected to non-Gaussian random excitation with asymmetric probability distribution2015

    • Author(s)
      土田崇弘,馬場湧太,木村康治
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 81 Issue: 829 Pages: 15-00163-15-00163

    • DOI

      10.1299/transjsme.15-00163

    • NAID

      130005100347

    • ISSN
      2187-9761
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Response distribution of nonlinear systems subjected to non-Gaussian random excitation using Gaussian mixture model2015

    • Author(s)
      馬場湧太,土田崇弘,木村康治
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 81 Issue: 823 Pages: 14-00632-14-00632

    • DOI

      10.1299/transjsme.14-00632

    • NAID

      130005130797

    • ISSN
      2187-9761
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Equivalent non-Gaussian excitation method for moment calculation of non-Gaussian randomly excited systems2015

    • Author(s)
      土田崇弘,木村康治
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 81 Issue: 823 Pages: 14-00410-14-00410

    • DOI

      10.1299/transjsme.14-00410

    • NAID

      130005130791

    • ISSN
      2187-9761
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Response moments of dynamic systems under non-Gaussian random excitation by the equivalent non-Gaussian excitation method2016

    • Author(s)
      Takahiro Tsuchida and Koji Kimura
    • Organizer
      12th International Conference on Recent Advances in Structural Dynamics
    • Place of Presentation
      University of Southampton, Southampton, UK
    • Year and Date
      2016-07-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 最大エントロピー法を用いた非白色不規則励振を受ける非対称非線形系の応答解析2016

    • Author(s)
      土田崇弘,木村康治
    • Organizer
      日本機械学会 関東支部第22期総会・講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2016-03-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] 相互相関関数を用いた狭帯域非ガウス性不規則入力を受ける1 自由度線形系の応答特性に関する研究2016

    • Author(s)
      上原大暉,土田崇弘,木村康治
    • Organizer
      日本機械学会 関東支部第22期総会・講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2016-03-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] 最小クロスエントロピー法による非ガウス不規則励振系の応答解析2015

    • Author(s)
      土田崇弘,青木勇人,木村康治
    • Organizer
      日本機械学会 機械力学・計測制御部門Dynamics and Design Conference 2015
    • Place of Presentation
      弘前大学
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] ガウス性ホワイトノイズと不規則パルス励振を同時に受ける非線形系の応答解析―励振強度比と応答分布の関係―2015

    • Author(s)
      西坂直登,土田崇弘,木村康治
    • Organizer
      日本機械学会 機械力学・計測制御部門Dynamics and Design Conference 2015
    • Place of Presentation
      弘前大学
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] 帯域幅と卓越振動数を考慮した非ガウス性不規則入力を受ける線形系の応答分布2015

    • Author(s)
      上原大暉,土田崇弘,木村康治
    • Organizer
      日本機械学会 機械力学・計測制御部門Dynamics and Design Conference 2015
    • Place of Presentation
      弘前大学
    • Year and Date
      2015-08-25
    • Related Report
      2015 Annual Research Report
  • [Presentation] Simulation of Narrowband Non-Gaussian Processes Using Envelope Distribution2015

    • Author(s)
      Takahiro Tsuchida and Koji Kimura
    • Organizer
      12th International Conference on Applications of Statistics and Probability in Civil Engineering
    • Place of Presentation
      Coast Plaza Hotel & Suites in Vancouver, Canada
    • Year and Date
      2015-07-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Equivalent Non-Gaussian Excitation Method for Response Moment Calculation of Systems Under Non-Gaussian Random Excitation2015

    • Author(s)
      Takahiro Tsuchida and Koji Kimura
    • Organizer
      23rd International Conference on Nuclear Engineering
    • Place of Presentation
      23rd International Makuhari Messe, Chiba, Japan.
    • Year and Date
      2015-05-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 狭帯域非ガウス性不規則入力を受ける1自由度線形系の応答特性2015

    • Author(s)
      上原大暉,土田崇弘
    • Organizer
      日本機械学会関東支部第21期総会・講演会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2015-03-20 – 2015-03-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 等価非ガウス励振化法による非ガウス性不規則励振を受ける線形系の応答解析2014

    • Author(s)
      土田崇弘,木村康治
    • Organizer
      第63 回理論応用力学講演会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2014-09-26 – 2014-09-28
    • Related Report
      2014 Research-status Report
  • [Presentation] 等価非ガウス励振化法による不規則励振系の応答解析2014

    • Author(s)
      土田崇弘,木村康治
    • Organizer
      日本機械学会 機械力学・計測制御部門Dynamics and Design Conference 2014
    • Place of Presentation
      上智大学
    • Year and Date
      2014-08-26 – 2014-08-29
    • Related Report
      2014 Research-status Report
  • [Presentation] 混合ガウスモデルを用いた非ガウス性不規則入力を受ける非線形系の応答解析2014

    • Author(s)
      馬場湧太,土田崇弘,木村康治
    • Organizer
      日本機械学会 機械力学・計測制御部門Dynamics and Design Conference 2014
    • Place of Presentation
      上智大学
    • Year and Date
      2014-08-26
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2017-05-10  

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