One Consideration on the Problems of Longitudinal Vibration or Longitudinal Wave Propagation in Variable Section Bar

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  • 変断面棒の縦振動・波動問題に関する一考察
  • ヘン ダンメンボウ ノ タテ シンドウ ハドウ モンダイ ニ カンスル イチ コウサツ

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Abstract

As the first step of studies on dynamic stress problems in variable section bar used as structual elements, a theoretical investigation of longitudinal motion of variable section bar was carried out. Choosing suitable forms of variable section, fundamental equation of motion can be reduced to the linear binomial differential equation and it's solution is expressed in the form of Hyper-geometric Function or Bessel Function. Variable section form obtained above has two parameters, so the solution can be adaptable over the very wide range of variable section forms. As an example, wave propagation in variable section bar of linear profile in case of impact is discussed and experimental results on linear profile bar of steel showed good agreement with the variation of stress amplitude computed from the theoretical stress wave propagation formula.

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