Dynamic Analysis of the Axially Moving String Based on Wave Propagation

[+] Author and Article Information
C. A. Tan, S. Ying

Department of Mechanical Engineering, Wayne State University, Detroit, MI 48202

J. Appl. Mech 64(2), 394-400 (Jun 01, 1997) (7 pages) doi:10.1115/1.2787321 History: Received May 05, 1995; Revised October 21, 1996; Online October 25, 2007


In this paper, we present an exact solution for the linear, transverse response of an axially moving string with general boundary conditions. The solution is derived in the frequency domain and interpreted in terms of wave propagation functions. The boundary effects are included by the use of compliance functions at the boundaries. The response in the time domain involves only several convolution integrals which can easily be obtained for many physical boundary conditions. A comparison of this method with an existing solution method shows that this method requires much less computation time. The transient response of the translating string with a spring or a dashpot at a boundary is presented. It is shown that complete wave absorption occurs at a boundary when that boundary has a dashpot with damping coefficient equal to the propagation speed of the reflected wave.

Copyright © 1997 by The American Society of Mechanical Engineers
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