Influence of Boundary Conditions Relaxation on Panel Flutter

  • R. A. Ibrahim
  • D. M. Beloiu
  • C. L. Pettit
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)


The problem of nonlinear panel flutter with relaxation in the boundary conditions is studied based on a phenomenological model of joint preload relaxation. The conventional boundary value problem of the panel involves time-dependent boundary conditions that will be converted into autonomous ones using a special coordinate transformation. The resulting boundary conditions will be combined with the governing non-homogeneous, partial differential equation that will include the influence of the boundary conditions relaxation. The analysis will be restricted to two-mode interaction and includes the influence of boundary conditions relaxation on the panel modal frequencies and limit cycle amplitudes in the time and frequency domains. The relaxation and system nonlinearities are found to have opposite effects on the frequency evolution of the panel.

Key words

Panel flutter boundary condition nonlinear interaction 


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Copyright information

© Springer 2005

Authors and Affiliations

  • R. A. Ibrahim
    • 1
  • D. M. Beloiu
    • 1
  • C. L. Pettit
    • 2
  1. 1.Department of Mechanical EngineeringWayne State UniversityDetroitUSA
  2. 2.Air Force Research Laboratory, AFRL/VASDWright-Patterson Air Force BaseUSA

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