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.
Closed-Form Representation of Beam Response to Moving Line Loads
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received and accepted by the ASME Applied Mechanics Division, Jan. 25, 2000; final revision, Oct. 26, 2000. Associate Editor: A. K. Mal.
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Sun , L. (October 26, 2000). "Closed-Form Representation of Beam Response to Moving Line Loads ." ASME. J. Appl. Mech. March 2001; 68(2): 348–350. https://doi.org/10.1115/1.1352064
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