Fourier transform is used to solve the problem of steady-state response of a beam on an elastic Winkler foundation subject to a moving constant line load. Theorem of residue is employed to evaluate the convolution in terms of Green’s function. A closed-form solution is presented with respect to distinct Mach numbers. It is found that the response of the beam goes to unbounded as the load travels with the critical velocity. The maximal displacement response appears exactly under the moving load and travels at the same speed with the moving load in the case of Mach numbers being less than unity.

Issue Section:
Brief Notes
Keywords:
Fourier transforms, bending, elasticity, Green's function methods, Mach number
Topics:
Fourier transforms, Mach number, Stress, Pavement live loads, Elasticity, Theorems (Mathematics)
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