Nonlinear solution for vibration of vertical plate and transient waves generated by wave impact

The vibration of a vertical plate induced by the impact of a pulse-type wave and resultant generation of nonlinear transient waves are simulated using the full-nonlinear boundary-element method. Ah ybrid scheme coupling the numerical damping beach with the piston-like wave absorber is incorporated to absorb transient waves, and the implicit boundary-condition method for computing the temporal derivative of the velocity potential is also incorporated after checking the performance of several alternatives. An analytical solution for the corresponding linearized problem is presented; this is compared with nonlinear numerical solutions, and then nonlinear effects are investigated. Nonlinear behavior at the early stage of response of a plate is observed particularly when the spring constant in the restoring force is larger. The transient wave generated by the plate's vibration also shows a nonlinear feature when the amplitude of the initial pulse-type wave is large.