Numerical Solution of Dynamic Responses of Moving Load on Ice Sheet
To study on the breaking mechanism of an ice sheet under moving load, have need for researching the displacement responses of ice sheet. From viscoelastic vibration differential equation of ice sheet, dynamic equation of ice sheet was established under moving load in the cylindrical coordinate system, and the boundary conditions were given for solving differential equations. Used Hankel transform and Laplace transform to solve Green function of ice sheet vibration responses under loading, and derived the displacement response of ice sheet on the base of Green function. The example calculation shows that the displacement responses of ice sheet of 0.5m thickness is got under moving load at different time, the peak position of gravity wave propagation lags behind the loading point.
K. Chen and X. F. Tong, "Numerical Solution of Dynamic Responses of Moving Load on Ice Sheet", Applied Mechanics and Materials, Vols. 138-139, pp. 44-49, 2012