Vibrations of a Floating Elastic Plate Upon Nonlinear Interaction of Flexural-Gravity Waves

@article{Bukatov2018VibrationsOA,
  title={Vibrations of a Floating Elastic Plate Upon Nonlinear Interaction of Flexural-Gravity Waves},
  author={A. E. Bukatov and A. A. Bukatov},
  journal={Journal of Applied Mechanics and Technical Physics},
  year={2018},
  volume={59},
  pages={662-672}
}
The method of many scales was used to construct an asymptotic expansion up to thirdorder terms for the velocity potential of a fluid of finite depth and the flexural deformations of a floating elastic plate arising from the interaction of harmonics of finite-amplitude progressive surface waves. An expression for the second-harmonic amplitude was obtained, and critical values of the wavenumber were determined. Vibrations of plates with different thicknesses and elastic modulus were analyzed… Expand
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