An approximate analytical solution of displacement response of viscoelastic floating ice layers induced by moving load

Abstract

This paper aims to solve the unsteady-state problem of the displacement response of floating ice layers induced by moving load. Fluid-solid coupling dynamic model is established based on differential equation of viscoelastic thin sheet vibration and potential flow theory. Green's function, Hankel transforms and Laplace transforms are applied to solve the dynamic equation of floating ice layers under moving load. An approximate analytical solution of the displacement response is expressed and the maximum depression depth and width of floating ice layers are calculated. Besides, the critical speed is obtained and we also analyze the influence of the parameters of moving speed, delay time and thickness of ice layers and depth of water on the displacement response. A favorable consistency is found between theoretical calculation and experimental results, which provides theoretical support for engineering ice-breaking problems.