0
TECHNICAL PAPERS

An Improved Series Expansion of the Solution to the Moving Oscillator Problem

[+] Author and Article Information
A. V. Pesterev

Institute for Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, Moscow, 119034 Russia

L. A. Bergman

Aeronautical and Astronautical Engineering Department, University of Illinois, Urbana, Illinois 61801

J. Vib. Acoust 122(1), 54-61 (Jan 01, 1999) (8 pages) doi:10.1115/1.568436 History: Received January 01, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Displacement of the moving mass on the CC beam for v=24 m/s: (i) exact solution (solid line), (ii) moving force approximation (dashed line), and (iii) quasi-static approximation (dotted line).
Grahic Jump Location
Approximations of the moving oscillator solution for the SS beam by the improved series with 3 (dotted line), 6 (dashed line), and 12 (solid line) terms
Grahic Jump Location
Approximations of the moving oscillator solution for the SS beam by the ordinary series with 3 (dotted line), 6 (dashed line), and 12 (solid line) terms
Grahic Jump Location
The moving oscillator solution (solid line) for the SS beam and its moving force (dashed line) and quasi-static (dotted line) approximations
Grahic Jump Location
Approximations of the moving oscillator solution for the CC beam by the improved series with 3 (dotted line), 6 (dashed line), and 12 (solid line) terms
Grahic Jump Location
Approximations of the moving oscillator solution for the CC beam by the ordinary series with 3 (dotted line), 6 (dashed line), and 12 (solid line) terms
Grahic Jump Location
The moving oscillator solution (solid line) for the CC beam and its moving force (dashed line) and quasi-static (dotted line) approximations
Grahic Jump Location
Shape of the string w(x,t) at t=0.5 for the moving oscillator problem (solid line) and its moving force (dashed line) and quasi-static (dotted line) approximations
Grahic Jump Location
Displacement of the moving mass on the CC beam for v=4 m/s: (i) exact solution (solid line), (ii) moving force approximation (dashed line), and (iii) quasi-static approximation (dotted line).
Grahic Jump Location
Displacement of the moving mass on the CC beam for v=2 m/s: (i) exact solution (solid line), (ii) moving force approximation (dashed line), and (iii) quasi-static approximation (dotted line).
Grahic Jump Location
Exact solution w(x,0.5) to the moving oscillator problem (solid line) (obtained by using 100 terms of the improved series) and two approximations to it obtained by means of five first terms of the improved series (dashed line) and five terms of the ordinary series (dotted line)
Grahic Jump Location
A distributed system carrying a moving linear conservative oscillator

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