Proposition of a New Formulation of the Timoshenko Beam/Mindlin Plate Theory and its Application to the Synthetic Method of Frequencies

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Other Title
  • 521 ティモシェンコ梁/ミンドリン板理論の新たな定式化の提案と振動数合成法への応用

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Description

If we depend on the traditional formulation of the Timoshenko beam and Mindlin plate, the bending and shearing displacements cannot be determined uniquely. Hence, we propose a new formulation in which the total and bending displacements are regarded as the fundamental variables and it is verified that the both displacements can be determined uniquely and that the natural frequencies obtained are not coincident with those by the traditional method for some boundary conditions. In addition, the series-type synthetic method of frequencies becomes applicable in principle by the new method and so from the practical point of view, we show its effectiveness for fairly thick beams and rectangular plates.

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Details 詳細情報について

  • CRID
    1570291227236883584
  • NII Article ID
    110002483358
  • NII Book ID
    AA11901770
  • ISSN
    13480235
  • Text Lang
    ja
  • Data Source
    • CiNii Articles

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