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Nonlinear dynamics of thin plate, which is flowed by subsonic potential stream, is studied numerically. The new approach for fluid/ structure interaction analysis is suggested. This approach is based on the hypersingular integral equations, which are presented with respect to gas pressure aerodynamic derivatives. Nonlinearvon Karman thin plate theory with account of geometrical nonlinearity is used to describe the self-sustained vibrations of plate. The structure periodic vibrations are described by the system of the nonlinear ordinary differential equations with respect to the generalized coordinates, which is derived by Galerkin technique. The periodic oscillations are calculated by shooting technique, which helps to analyze motions stability and bifurcations behavior. Due to the bifurcations of the structure, almost periodic and chaotic motions are studied.

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Flutter of Plates Interacting with Three Dimensional Subsonic Gas Stream

  • 会议论文

  • 发表日期：

    2025年

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  • Konstantin Avramov,
  • Borys Liubarskyi,
  • Vitaly Miroshnikov,
  • Roksana Petrova,
  • Inna Urniaieva

摘要

Nonlinear dynamics of thin plate, which is flowed by subsonic potential stream, is studied numerically. The new approach for fluid/ structure interaction analysis is suggested. This approach is based on the hypersingular integral equations, which are presented with respect to gas pressure aerodynamic derivatives. Nonlinearvon Karman thin plate theory with account of geometrical nonlinearity is used to describe the self-sustained vibrations of plate. The structure periodic vibrations are described by the system of the nonlinear ordinary differential equations with respect to the generalized coordinates, which is derived by Galerkin technique. The periodic oscillations are calculated by shooting technique, which helps to analyze motions stability and bifurcations behavior. Due to the bifurcations of the structure, almost periodic and chaotic motions are studied.