LAUSR

In this paper, the dynamic Green’s functions are used to calculate the dynamic responses of Levy-type plates with different boundary conditions under an arbitrary, linear-trajectory, moving load. The plate’s response is composed of two parts, i.e., the particular solution for the moving load and the homogeneous solution. Utilizing the superposition principle, the particular solution is expressed in terms of the dynamic Green’s functions. The Green’s functions are found such that they satisfy the boundary conditions of the plate and the equilibrium state under the moving load with unique intensity. The homogeneous solution has the role of satisfying initial conditions through the solution of an eigenvalue problem. Numerical results are provided to validate the proposed solution in addition to an investigation of the effects of load trajectory and velocity on the deflection of Levy-type plates.