A Modified, Slowly Varying Parameter Approach for Systems With Impulsive Loadings

[+] Author and Article Information
Nicholas P. Jones

Department of Civil Engineering, The Johns Hopkins University, Baltimore, MD 21218-2699

Harry W. Shenton

National Institute of Standards and Technology, Gaithersburg, MD 20899

J. Appl. Mech 58(1), 251-258 (Mar 01, 1991) (8 pages) doi:10.1115/1.2897160 History: Received January 23, 1989; Revised November 03, 1989; Online March 31, 2008


Many oscillating systems in practice are subject to periodic, impulsive loads during their motion. For nonlinear systems traditional methods, such as the slowly varying parameter technique, have been used to study the response of such systems by “smearing“ the effect of the impulse over one cycle of the oscillation. Unfortunately, in many instances this approach violates the basic assumption used in the application of the averaging technique, resulting in limited predictive capability. This paper presents a modification to the standard slowly varying parameter technique for nonlinear systems which addresses this problem by assuming a solution form which admits a discontinuity in velocity at the time the impulse is applied. Examples are given which outline the improvement in accuracy of the new technique.

Copyright © 1991 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





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