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1997 Fiscal Year Final Research Report Summary

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
KeywordsInverse Problem / Finite Element / Boundary Element / Filter Theory / Defect Identification / Damage Detection / Elastic Body / 弾性体
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.

  • Research Products

    (14 results)

All Other

All Publications (14 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1999-03-16  

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