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Pseudo Analytical Method for Nonlinear Structural Reliability

Research Project

Project/Area Number 10650470
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 構造工学・地震工学
Research InstitutionMusashi Institute of Technology

Principal Investigator

MASARU Hoshiya  Musashi Inst.of Technology, Dept.of Civil Engrg., Professor, 工学部, 教授 (30061518)

Co-Investigator(Kenkyū-buntansha) MARUGAMA Osamu  Musashi Inst.of Techology, Dept.of Civil Engrg, Assit, Professor, 工学部, 助教授 (50209699)
YOSHIKAWZA Hiromich  Musashi Inst.of Technology, Dept.of Civil Engrg, Professor, 工学部, 教授 (10220609)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1998: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsStructural Reliability / Nonlinear System / Kalman Filter / first excursion probability / 初期通過問題 / カルマンフィルタ, / 動的信頼性, / モンテカルロフィルタ, / 非線形動的システム, / モンテカルロ法 / 地震ハザード曲線 / Seismic Performance Design / Structural Reliability / Fragility Curves / Probabilistic Structural Response / Risk Ananlysis / Nonlinear Filter / Importance Sampling
Research Abstract

In random vibration, probability of an event that system performance function becomes negative during the time duration is a means to discuss the system safety. This probability is well known as first excursion probability. Presently, how to develop the evaluation method for nonlinear systems has been a major concern among many researchers.
The most powerful tool available for the analysis of the response of nonlinear systems to random loading is the Markovian vector approach. In this case the joint probability density of the state vector components is governed by Fokker-Plank equation. Unfortunately, only very few closed-form solutions are known. Even for the SDOF case only some stationary solutions are available. This means that for more general cases approximated methods such as equivalent linearization have to be utilized.
In this context, this research also proposes a method to evaluate the probability for nonlinear SDOF systems under a class of stochastic excitations. The method is a hybrid analytical procedure with the help of numerically simulated response data, namely Pseudo Analytical. This method is a class of linearization approaches that linearize approximately a nonlinear state vector equation to a discrete Gaussian and Markovian state vector equation, and the optimal state vector and covariances at times k and k+1 are estimated by the Kalman Filter algorithm with a set of numerically obtained response data. In this way, the probability of performance may be evaluated. Finally, a numerical example of a nonlinear structural system is demonstrated in order to examine the efficiency of the method.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] 星谷勝,山本欣弥: "情報エントロピーを用いたシステムの信頼性と冗長の検討"土木学会論文集. No.654 I-52. 355-366 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 吉川弘道,青戸拡起,高丸弘美,大江亮二: "鉄筋コンクリート橋脚の非線形応答解析とせん断劣化を考慮した動的破壊解析"応用力学論文集. VoL3.. 645-656 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya,M.Komiyama,K.and Sutoh,A: "Pseudo Analytical Method for Stochastic Nonlinear Systems"Proc.of the fourth Int.Conf.on Stochastic Structural Dynamics-SSD'98. 187-192 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya,M.Taniguchi,O and Sutoh,A: "Adaptive Sampling for Stochastic Nonlinear Systems"Proc.of the fourth Int.Conf.on Stochastic Structural Dynamics-SSD'98. 193-196 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya,M.and Maruyama,O: "Pseudo analytical method for nonlinear structural reliability"Proceedings of the International Conference on Monte Carlo Simulation. 295-300 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya,M.and Yamamoto,K: "Information entropy for redundancy of engineering systems"Proceeding of the International Conference on Monte Carlo Simulation. 273-278 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya, M.and Yamamoto, K.: "Redundancy of Engineering System With Information Entropy."Journal of JSCE. No.654/I-52. 355-366 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yoshikawa, H., Aoto, H., Takamaru, H.and Ohe, R.: "Dynamic Analysis of Reinforced Concrete Columns with Shear Strength Degradation"JSCE Journal of Applied Mechanics. 645-656 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya, M., Komiya, K.and Sutoh, A.: "Pseudo Analytical Method for Stochastic Nonlinear Systems"Proc. of the fourth Int.conf.on Stochastic Structural Dynamics-SSD'98. 187-192

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya, M., Taniguchi, O and Sutoh, A.: "Adaptive Sampling for Stochastic Nonlinear Systems"Proc. of the fourth Int.conf.on Stochastic Structural Dynamics-SSD'98. 193-196

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya, M.and Maruyama, O.: "Pseudo Analytical Method for Nonlinear Structural Reliability"Proc. of Inter.Conf.on MCS. 295-300 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Hoshiya, M.and Yamamoto, K.: "Information Entropy for Redundancy of Engineering Systems"Proc. of Inter.Conf.on MCS. 273-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 松原勝己,星谷勝,浦野和彦: "剛性の深度依存を考慮した盛土地盤の地震応答解析"構造工学論文集. Vol.46A. 695-702 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 星谷勝,山本欣弥: "情報エントロピーを用いたシステムの信頼性と冗長の検討"土木学会論文集. No.654/I-52. 355-366 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Matsubara,K.and Hoshiya,M.: "Soil spring constants of buried pipelines for seismic design"Jour.Of EM,ASCE. Vol.126,No.1. 76-83 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 丸山収,星谷勝,熊井博司: "動的非線形システムの初期通過確率算定"第55回土木学会年次学術講演会概要集. I-A025. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hoshiya,M.and Maruyama,O.: "Pseudo analytical method for nonlinear structural reliability"Proceedings of the International Conference on Monte Carlo Simulation. 295-300. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hoshiya,M.and Yamamoto,K.: "Information entropy for redundancy of engineering systems"Proceedings of the International Conference on Monte Carlo Simulation. 273-278. (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 星谷 勝、野田 茂、長舟 健: "条件付非正規確率場を推定するための近似解法"土木学会論文集. No.619/I-47. PP253-PP266 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 星谷 勝、須藤 敦: "確率的技法を用いた組み合わせ最適化手法の情報理論による考察"土木学会論文集. No.619/I-47. PP293-PP298 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 星谷 勝、野田 茂: "条件付確率場の最大エントロピー推定法の提案"土木学会論文集. No.633/I-49. PP61-PP80 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 星谷 勝、須藤 敦、高須 光朗: "ニューラルネットワークを用いたデータマイニングによる非構造システムの同定"応用力学論文集. Vol.2. PP83-PP90 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 丸山、収: "システム同定のための起震機入力"土木学会第54回年次学術講演会. I部門(B). PP94-PP95 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] O.Maruyama: "Optimal Sampling Method for Conditional Gaussian Random Fields"13^<th>ASCE E.M.Conf.,Baltimore USA. (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 星谷,勝・野田,茂他: "条件付対数正規確率場におけるブロック推定" 土木学会論文集. No.612 I-46. 275-286 (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 星谷,勝・吉田,郁政他: "逆解析によって推定されたモデルの信頼度と最適観測点位置" 応用力学論文集. Vol.1. 109-116 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Hoshiya・S,Noda: "Kriging of Lognormal Stochastic Field" Journal of Engineering Mechanics. 1175-1184 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 吉川,弘道・金田,尚志他: "累積損傷度を考慮した下面増厚補強RC床版の疲労寿命に関する研究" コンクリート工学年次論文報告集. Vol.20,No3. 451-456 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 吉川,弘道・山川,和弘他: "拘束コンクリートの力学挙動と安定/不安定特性に関する解析モデル" 第10回日本地震工学シンポジウム,論文集. F1-4. 2093-2098 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 丸山,收: "ガウス確率場の効果的なサンプリング" 確率・統計的意志決定に関するシンポジウム. 69-74 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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