0
TECHNICAL PAPERS

Free and Forced Vibration of an Axially Moving String With an Arbitrary Velocity Profile

[+] Author and Article Information
W. D. Zhu

University of North Dakota, Grand Forks, ND

B. Z. Guo

Beijing Institute of Technology, Beijing, China

J. Appl. Mech 65(4), 901-907 (Dec 01, 1998) (7 pages) doi:10.1115/1.2791932 History: Received May 28, 1996; Revised March 25, 1998; Online October 25, 2007

Abstract

The exact response of an axially moving string with an arbitrary velocity profile is determined under general initial conditions and external excitation. In terms of the curvilinear characteristic coordinates, the time-dependent governing equation reduces to one with constant coefficients. The domain of interest in the characteristic coordinate plane is bounded by two monotonic curves with the same shape corresponding to the spatial boundaries of the string. Solutions of the transformed equation are derived for the free and forced responses. The amplitude of the free response is shown to be bounded under arbitrary variation of the transport speed in the subcritical regime. The unbounded displacement of the string predicted by Floquet theory for the spatially discretized models does not occur. The method is demonstrated on two illustrative examples with piecewise constant and sinusoidal accelerations.

Copyright © 1998 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In