Motions of a Stretched String Carrying a Moving Mass Particle

[+] Author and Article Information
Charles E. Smith

Department of Mechanical and Industrial Engineering, Oregon State University, Corvallis, Ore.

J. Appl. Mech 31(1), 29-37 (Mar 01, 1964) (9 pages) doi:10.1115/1.3629566 History: Received March 08, 1963; Online September 15, 2011


A considerable amount of analytical work has been carried out in order to determine the effects of “traveling” loads on structures. Several methods—all approximate—have been used to predict the motion of a beam, along which a mass particle is constrained to move. An “exact” solution is presented here for a similar system in which a stretched string serves as support for the moving mass. Comparison with this system lends some insight into the more complicated beam problem. A singular behavior of the solution to the string problem suggests the possibility of an analogous singular behavior in the solution to the beam problem.

Copyright © 1964 by ASME
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