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A semi-analytical method is developed to determine the response of a thin rectangular plate made of a general viscoelastic material to the excitation of a moving inertial load. The governing equation of the general problem is derived in the Laplace domain, which, for any particular viscoelastic model, is transformable into a system of differential equations in the time domain. Any standard procedure can then be readily employed to solve this system of equations. Using this method, sampledoi:10.37394/232021.2022.2.22 fatcat:id333uvnrrfuziwwdx54iqt2s4