Response to a moving load of an infinite beam supported by an elastic foundation with consideration of foundation mass



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The response of a Bernoulli-Euler beam supported, by an elastic foundation with mass and subjected to a moving load is investigated. Steady-state solutions are determined for the undamped and linearly damped beam-foundation system. The effects on the response of load velocity, foundation mass, and damping are studied. For the undamped case, it was found that the system response grows without bound as a certain critical load velocity is approached. The effect of foundation mass is to reduce the critical velocity and to increase the peak deflection. The deflection wave is observed to be symmetric with respect to the load. When damping is introduced, the deflection wave becomes unsymmetrical and the peak deflections are reduced. Results for both cases are given in graphical form.