Axial Leakage Flow-induced Vibration of a Thin Cylindrical Sheel with Respect to Lateral Vibration by Donnell Shell Theory

  • FUJITA Katsuhisa
    Mechanical Systems Engineering, Graduate School of Engineering, Osaka Prefecture University
  • SHINTANI Atsuhiko
    Mechanical Systems Engineering, Graduate School of Engineering, Osaka Prefecture University
  • ONO Masakazu
    Mechanical Systems Engineering, Graduate School of Engineering, Osaka Prefecture University

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Other Title
  • Donnell理論による薄肉円筒殻の横方向振動に関する軸方向すきま流励起振動
  • Donnell リロン ニ ヨル ウスニク エントウカク ノ ヨコホウコウ シンドウ ニ カンスル ジク ホウコウスキマリュウレイキシンドウ

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In this paper, the stability of a thin cylindrical sheel subjected to an axial leakage flow is discussed. Here, we focus on a lateral vibration of a cylindrical shell, that is the beam-like vibration of a shell. The coupled equations between a shell and a fluid are obtained by using the Donnell's shell theory and the Navier Stokes equation. The influence of the axial velocity on the unstable vibration phenomena is clarified concerning the beam-like vibration mode of a shell. The applicable range of Donnel shell theorry is confirmed for axial leakage flow-induced vibration of a thin cylindrical shell. The numerical results on the shell theory are compared with those on beam theory which have been already reported by the authors. And, the numerical parameter studies are done for several dimensions of shell and fluid.

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