Response of a String to an Accelerating Mass

[+] Author and Article Information
R. Rodeman, D. B. Longcope

Applied Mechanics Division 1281, Sandia Laboratories, Albuquerque, New Mex.

L. F. Shampine

Numerical Mathematics Division 5122, Sandia Laboratories, Albuquerque, New Mex.

J. Appl. Mech 43(4), 675-680 (Dec 01, 1976) (6 pages) doi:10.1115/1.3423954 History: Received December 01, 1975; Revised May 01, 1976; Online July 12, 2010


The response of a string to a mass particle undergoing a constant horizontal acceleration from rest has been calculated. The string deflection is expressed in terms of the transverse mass motion. A delay-differential equation is solved both numerically and asymptotically for the mass velocity. String profiles are presented at subsonic and supersonic speeds. Two oppositely traveling jumps in string displacement are found to appear as the mass is accelerated through the wave speed of the string.

Copyright © 1976 by ASME
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