Analysis of the dynamic response of a fluid-supported circular elastic plate impacted by a low-velocity projectile
In this paper, the dynamic response of a thin circular elastic plate supported by a fluid on one side and impacted by a low-velocity projectile on the other side is analysed for the first time. A semi-analytical method is put forward, a non-linear Volterra integral equation governing the impact force is deduced and a linear numerical method is used to solve the equation and calculate the transverse deflection of the plate. The presence of the fluid not only lowers, on account of increased inertia, the natural frequency of the plate vibrating in vacuum but also dampens its transverse vibration owing to the energy carried off in the form of sound waves. As a numerical example, the transverse deflection of a solid circular plate with clamped edges impacted centrally by a low-velocity sphere and the impact force are computed, and the results are discussed.