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Mathematical Analyses on Dynamic Response and Nonlinear Instability for Functionally Inhomogeneous Flexible Structural Members Due to Thermal Loading

Research Project

Project/Area Number 17560077
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionOsaka Prefecture University

Principal Investigator

YOSHINOBU Tanigawa  Osaka Prefecture University, Graduate School of Engineering, Professor, 工学研究科, 教授 (30081219)

Co-Investigator(Kenkyū-buntansha) RYUUSUKE Kawamura  Osaka Prefecture University, Graduate School of Engineering, Instructor, 工学研究科, 助手 (70234135)
Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2006: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥2,000,000 (Direct Cost: ¥2,000,000)
KeywordsMechanical Engineering Materials and Mechanics of Materials / Inhomogeneous Materials / Thermoelastic Stability / Thermal Buckling and Post-Buckling / Thermally Induced Vibration
Research Abstract

In this research project, mathematical analyses of two problems such as both thermal buckling, thermoelastic instability and thermally induced vibration due to cyclic loadings for functionally inhomogeneous flexible structures are treated. In the mathematical analyses, structural elements such as thin-walled rectangular plates and strips, and thin-walled plates on an elastic foundation are considered. It is assumed that inhomogeneity in material properties is given in a form of a power product of a thickness coordinate. Critical buckling temperatures for inhomogeneous rectangular plates under nonuniform transient temperature field, amplitudes of deflection and the associated stresses in the post-buckling state for functionally graded thin-walled strips under bi-axial compression, and critical buckling loads and buckling wavelength for thin-walled strips have been derived mathematically in the problems of thermal buckling and thermoelastic instability for functionally inhomogeneous flex … More ible structures. Then, numerical calculations have been performed and effects of geometries in plates and inhomogeneity in material properties on critical buckling temperatures and post-buckling behavior have been examined systematically. On the other hand, one-dimensional unsteady temperature changes for inhomogeneous rectangular plates subjected to sinusoidally time-varying heat supply on the surface, dynamic responses of out-of-plane deflections and stresses due to cyclic temperature changes and cyclic transverse loads have been derived mathematically in the thermally induced vibration for functionally inhomogeneous flexible structures. Thereafter, effects of conditions of heating, angular frequencies in loadings and inhomogeneity in material properties on thermally induced vibration and interaction between dynamic response due to cyclic temperature change and that due to transverse mechanical load have been examined systematically. Some of results on problem of thermally induced vibration for functionally inhomogeneous structures due to cyclic loads could not be obtained yet, but they will be published in the near future. Less

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (13 results)

All 2006 2005

All Journal Article (13 results)

  • [Journal Article] Thermal Buckling of Functionally Graded Rectangular Plates Subjected to Partial Heating2006

    • Author(s)
      T.Morimoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      International Journal of Mechanical Sciences 48 (9)

      Pages: 926-937

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Linear Buckling Analysis of Orthotropic Inhomogeneous Rectangular Plate under Uniform In-Plane Compression2006

    • Author(s)
      T.Morimoto, Y.Tanigawa
    • Journal Title

      Acta Mechanica 187 (1-4)

      Pages: 219-229

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Thermally Induced Vibration of Inhomogeneous Material Rectangular Plate Due to Cyclic Variation of Thermal and Mechanical Loads2006

    • Author(s)
      R.Kawamura, Y.Tanigawa, N.Matsumoto
    • Journal Title

      Book of Abstracts of the Multiscale & Functionally Graded Material Conference

      Pages: 78-78

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Elastic Instability of Functionally Graded Film-Substrate System due to Residual Thermal Stresses2006

    • Author(s)
      T.Morimoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      Book of Abstracts of the Multiscale & Functionally Graded Material Conference

      Pages: 78-79

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Thermal Buckling of Functionally Graded Rectangular Plates Subjected to Partial Heating2006

    • Author(s)
      T.Morimoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      International Journal of Mechanical Sciences 48(9)

      Pages: 926-937

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Linear Buckling Analysis of Orthotropic Inhomogeneous Rectangular Plate under Uniform In-Plane Compression2006

    • Author(s)
      T.Morimoto, Y.Tanigawa
    • Journal Title

      Acta Mechanica 187(1-4)

      Pages: 219-229

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Elastic Instability of Functionally Graded Film -Substrate System due to Residual Thermal Stresses2006

    • Author(s)
      T.Morimoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      Book of Abstracts of the Multiscale & Functionally Graded Material Conference

      Pages: 78-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Postbuckling Behavior of Functionally Graded Thin Strips under Equi-biaxial Compression2006

    • Author(s)
      Y.Tamura, T.Moromoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      Book of Abstracts of the Multiscale & Functionally Graded Material Conference

      Pages: 65-66

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Elastic Instability of Functionally Graded Film - Substrate System due to Residual Thermal Stresses2006

    • Author(s)
      T.Morimoto, Y.Tanigawa, R.Kawamura
    • Journal Title

      Book of Abstracts of the Multiscale & Functionally Graded Material Conference

      Pages: 78-79

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Thermally Induced Vibration of an Inhomogeneous Rectangular Plate due to a Cyclic Heating2005

    • Author(s)
      R.Kawamura, Y.Tanigawa, S.Kusuki, N.Matsumoto
    • Journal Title

      Proceedings of the 6th International Congress on Thermal Stresses Vol. 2

      Pages: 471-474

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Thermoelastic Stability of Inhomogeneous Rectangular Plates under Nonuniform Transient Temperature Field2005

    • Author(s)
      T.Morimoto, Y.Tanigawa
    • Journal Title

      Proceedings of the 6th International Congress on Thermal Stresses Vo1. 2

      Pages: 619-622

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Thermally Induced Vibration of an Inhomogeneous Rectangular Plate due to a Cyclic Heating2005

    • Author(s)
      R.Kawamura, Y.Tanigawa, S.Kusuki, N.Matsumoto
    • Journal Title

      Proceedings of the 6th International Congress on Thermal Stresses Vol.2

      Pages: 471-474

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Thermoelastic Stability of Inhomogeneous Rectangular Plates under Nonuniform Transient Temperature Field2005

    • Author(s)
      T.Morimoto, Y.Tanigawa
    • Journal Title

      Proceedings of the 6th International Congress on Thermal Stresses Vol.2

      Pages: 619-622

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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