Nonlinear oscillations of a floating elastic plate

  title={Nonlinear oscillations of a floating elastic plate},
  author={A. E. Bukatov and A. A. Bukatov},
  journal={International Applied Mechanics},
The multi-scales method is used to derive third-order equations of gravitational bending oscillations of a thin elastic plate floating on the surface of a homogeneous perfect incompressible fluid of finite depth. The equations incorporate the compressive force and nonlinear acceleration of vertical displacements of the plate. Based on these equations, the deflection of the plate and the velocity potential of the fluid induced by a traveling periodic wave of finite amplitude are expanded into… Expand
1 Citations
Nonlinear elastic plate fluctuations on a fluid surface
  • A. E. Bukatov, A. A. Bukatov
  • Physics
  • 2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)
  • 2015