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Inverse Analysis of Structure by Filter Theory of Stochastic Dynamic System

Research Project

Project/Area Number 07650670
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Building structures/materials
Research InstitutionNihon University

Principal Investigator

TOSAKA Nobuyoshi  Nihon University, Professor, 生産工学部, 教授 (00059776)

Project Period (FY) 1995 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1997: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1996: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1995: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsInverse Problem / Finite Element / Boundary Element / Filter Theory / Defect Identification / Damage Detection / Elastic Body / 弾性体 / カルマンフィルタ / 射影フィルタ / 構造損傷同定 / 非定常熱伝導 / 内在欠陥 / 円形欠陥 / 弾性定数
Research Abstract

1.Novel Solution Procedure for Inverse Problems
From view-point of computational mechanics, noval solution procedures to solve various inverse problems in structure are proposed. These procedures are a combination of the finite element method or the boundary element method to solve numerically continuous fild and the filtering algorithms based on the Wiener filter or the projection filter to estimate the unknown state vector.
Especially, for complicated inverse problems, two step solution procedure to be expected more efficiency is also proposed. The first step analysis is performed to guess some apriori information on the unknowns and the second analysis to identify the unknowns is subsequently performed with use of the obtained apriori information.
2.Application to Various Inverse Probelms
Applicability and effectiveness of the procedures are demonstrated with numerical simulations on the following problems.
(1)Indetification of Spatial Distribution of Material Constants
The solution procedure can be applied to identification analysis of spatial distribution of elastic constants (Young's modulus and Poisson's ratio) in elastic body with use of displacement components measured on the boundary.
(2)Defect(s) Identification
The procedure can be applied to identification of unknown defect in elastic field or in thermal field. Especially, numerical simulation is carried out for identification of a circular defect in a two dimensional body by using transient temparature measured at several boundary points as additional information. The unknown plural defects in elastic body can be identification from the measured displacement components by using effectively two step solution procedure.
(3)Damage Detection
The procedure is applied to a structural damage detection problems. Both location and stiffness on damage in the unit-linked floating structure can be defected with natural frequencies of structure.

Report

(4 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • 1995 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] TOSAKA Nobuyoshi: "Unknown Defect Identification in Elastic Field by Boundary Element Method with Filtering Procedure" Engineering Analysis with Boundary Elements. 15. 207-215 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 登坂 宣好: "弾性体に内在する複数欠陥の同定解析" 計算工学講演会論文集. 1. 329-332 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 登坂 宣好: "境界要素法-フィルタ理論による非定常温度場の欠陥同定解析" 境界要素法論文集. 13. 113-118 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 登坂 宣好: "フィルタ理論による計算力学の逆問題" 機械の研究. 49/1. 118-126 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 今井 卓司: "拡張Kalmanフィルタを用いた逆解析によるユニット連結型浮体モデルの構造損傷同定" 構造工学論文集. 44B. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 遠藤 龍司: "新フィルタを用いたユニット連結型浮体モデルの構造損傷同定解析" 構造工学論文集. 44B. (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] D. B. Ingham (ed.): "Boundary Integral Formulations for Inverse Analysis" Computational Mechanics Publications, 348 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.TOSAKA et al.: "Unknown Defect Identification in Elastic Field by Boundary Element Method with Filtering Procedure" Engineering Analysis with Boundary Elements. 15. 207-215 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.TOSAKA et al.: "Identification Analysis of Plural Defects in Elastic Body" Proceedings of the Conference on Computational Engineering and Science. 1-1. 329-332 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.TOSAKA et al.: "Defect Identfication Analysis of Unsteady Themal Field by BEM-Filter Theory" Proceedings of 13th Symposium on BEM. 13. 113-118 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.TOSAKA: "Inverse Probelms in Computational Mechanics by Filter Theory" Science of Machine. 49-1. 118-126 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.IMAI et al.: "Identification Analysis of Structural Damage on Unit-Linked Floating Model Using Extended KALMAN Filtering Algorithm" Journal of Structural Engineering. 44B(in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] R.ENDO,et al.: "Identification Analysis of Structural Damage on Unit-Linked Floating Structure Model by New Filtering Algorithm" Journal of Structural Engineering. 44B(in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.TOSAKA et al.: "Inverse Analysis of Continuous Fields Using the BEM with a Filtering Procedure" Ch.11 in Boundary Integral Formulations for Inverse Analysis (ed.D.B.Ingham), Computational Mechanics Publications. 299-325 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 今井卓司・遠藤龍司 川上兼嗣・登坂宣好: "拡張Kalmanフィルタを用いた逆解析によるユニット連結型浮体モデルの構造損傷同定" 構造工学論文集. 44B. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 遠藤龍司・川上兼嗣・今井卓司・登坂宣好: "新フィルタを用いたユニット連結型浮体モデルの構造損傷同定解析" 構造工学論文集. 44B. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.TOSAKA,A.UTANI,H.TAKAHASHI: "Defects Identification Analysis Based on Spatial Distribution of Elastic Constants" Proceedings of International Symposium on Inverse Problems in Engineering Mechanics. (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 今井卓司・川上兼嗣・遠藤龍司・登坂宣好: "大型浮体モデルの構造損傷同定" 日本計算工学講演会論文集. 2巻2号. 767-770 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Tosaka,A.Utani: "Defect Identification in Unsteady Thermal Field by Boundary Element Method with Filtering Procedure" Proceedings of the 7th Japan-China Symposium on Boundary Element Methods. 255-264 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 登坂宣好・宇谷明秀・高橋秀朗: "弾性体に内在する複数欠陥の同定解析" 計算工学講演会論文集. 1. 329-332 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 登坂宣好・宇谷明秀: "境界要素法-フィルタ理論による非定常温度場の欠陥同定解析" 境界要素法論文集. 13. 113-118 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 登坂宣好: "フィルタ理論による計算力学の逆問題" 機械の研究. 49巻1号. 118-126 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Tosaka,A.Utani: "Boundary Integral Formulations for Inverse Analysis" Computational Mechanics Publications, 230 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] N. Tosaka: "Unknown defect identification in elastic field by boundary element method with filtering procedure" Engineering Analysis with Boundary Elements. 15. 207-215 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 守谷 明秀: "物性パラメータの空間分布同定解析" 日本応用数理学会平成7年度年会講演予稿集. 186-187 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 守谷 明秀: "フィルタ理論による複数個の未知欠陥同定解析" 第8回計算力学講演会講演論文集. 311-312 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] N. Tosaka: "Defect indentification in unsteady thermal field by boundary element method with filtering procedure" Proced. of 7th Japan-China Symp. on Boundary Element Methods. (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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