A Steadily Moving Load on an Elastic Beam Resting on a Tensionless Winkler Foundation

[+] Author and Article Information
J. Choros

Association of American Railroads, Chicago, Ill. 60616

G. G. Adams

IBM Research Laboratory, Department K43/Building 281, San Jose, Calif. 95193

J. Appl. Mech 46(1), 175-180 (Mar 01, 1979) (6 pages) doi:10.1115/1.3424492 History: Received June 01, 1978; Revised October 01, 1978; Online July 12, 2010


An infinitely long Euler-Bernoulli beam resting on a tensionless Winkler foundation is considered. Steady-state solutions are obtained for a downward directed concentrated force moving with constant speed. First, the critical load necessary to initiate separation of the beam from the foundation is determined for a range of speed. For loads greater than critical, one or more regions of noncontact can be expected to occur. Closed-form solutions of the differential equations are obtained in terms of local coordinate systems which significantly reduces the coupling among the various regions. The extent and location of the noncontact regions, as well as the corresponding beam deflections, are then determined for a range of force and speed. The results show that many solutions are possible and the final determination is based on an energy criterion.

Copyright © 1979 by ASME
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