0
Technical Brief

Evaluation of Groebner Basis Methodology as an Aid to Harmonic Balance

[+] Author and Article Information
Jane Liu

Department of Civil and Environmental Engineering,
Tennessee Technological University,
Cookeville, TN 38505
e-mail: jliu@tntech.edu

John Peddieson

Department of Mechanical Engineering,
Tennessee Technological University,
Cookeville, TN 38505

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 5, 2013; final manuscript received October 10, 2013; published online December 24, 2013. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 136(2), 024502 (Dec 24, 2013) (4 pages) Paper No: VIB-13-1310; doi: 10.1115/1.4026213 History: Received September 05, 2013; Revised October 10, 2013

A preliminary exploration is carried out of the utility of the Groebner basis method for implementing the harmonic balance analysis of nonlinear steady state vibrations. The method is found to be worthy of further investigation.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Amplitudes versus frequency ratio for e = 0.01 (solid line: one-harmonic A1; diamonds: two-harmonic A1; circles: two-harmonic A3)

Grahic Jump Location
Fig. 2

Amplitudes versus frequency ratio for e = 0.1 (solid line: one-harmonic A1; diamonds: two-harmonic A1; circles: two-harmonic A3)

Grahic Jump Location
Fig. 3

Amplitudes versus frequency ratio for e = 1.0 (solid line: one-harmonic A1; diamonds: two-harmonic A1; circles: two-harmonic A3)

Grahic Jump Location
Fig. 4

Amplitudes versus frequency ratio for e = 1.5 (solid line: one-harmonic A1; diamonds: two-harmonic A1; circles: two-harmonic A3)

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