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In this paper, it was purposed to comprehend the dynamic response of non-uniform Euler–Bernoulli simply supported beam which is subjected to moving load. The beam is rested on a nonlinear viscoelastic foundation. Galerkin with Runge-Kutta methods are employed. The influences of variations of the traveling velocity and the effect of increase in the magnitude of the moving load on the dynamic response are studied. A MATLAB code is designed to compute and plot the deflection

Dynamic response of non-uniform beam subjected to moving load and resting on non-linear viscoelastic foundation