0
Research Papers

Duffing Oscillator With Parametric Excitation: Analytical and Experimental Investigation on a Belt-Pulley System

[+] Author and Article Information
Guilhem Michon

 ISAE-DMSM, 10 Avenue Edouard Belin, 31055 Toulouse, Franceguilhem.michon@supaero.fr

Lionel Manin

LaMCoS, INSA-Lyon,CNRS 5259, F69621, Francelionel.manin@insa-lyon.fr

Robert G. Parker

Department of Mechanical Engineering, The Ohio State University, 650 Ackerman Road, Columbus, OH 43202parker.242@osu.edu

Régis Dufour

LaMCoS, INSA-Lyon,CNRS 5259, F69621, Franceregis.dufour@insa-lyon.fr

J. Comput. Nonlinear Dynam 3(3), 031001 (Apr 30, 2008) (6 pages) doi:10.1115/1.2908160 History: Received September 15, 2006; Revised September 10, 2007; Published April 30, 2008

This paper is devoted to the theoretical and experimental investigation of a sample automotive belt-pulley system subjected to tension fluctuations. The equation of motion for transverse vibrations leads to a Duffing oscillator parametrically excited. The analysis is performed via the multiple scales approach for predicting the nonlinear response, considering longitudinal viscous damping. An experimental setup gives rise to nonlinear parametric instabilities and also exhibits more complex phenomena. The experimental investigation validates the assumptions made and the proposed model.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Topics: Pulleys , Belts , Damping
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Square of the first three natural frequencies of a beam as a function of its tension, measured (×, +, and *) and predicted (solid lines)

Grahic Jump Location
Figure 2

Parametric excitation experimental setup

Grahic Jump Location
Figure 3

Three different positions captured with a high speed camera of the first mode shape of the tested belt span for the primary instability. Ω=6.2, ε=0.2.

Grahic Jump Location
Figure 4

Three different positions captured with a high speed camera of the third mode shape of the tested belt span due to longitudinal-transverse coupling. Ω=4.8, ε=0.2.

Grahic Jump Location
Figure 5

Three different positions captured with a high speed camera of a belt end showing the boundary condition evolution. Ω=6.0, ε=0.3.

Grahic Jump Location
Figure 9

Force response. Measured (+: tuning up, *: tuning down), predicted with damping (−−: unstable branch, −: stable branch), and predicted without damping (..). Ω=6.4, α̂=495, χ̂=71.7.

Grahic Jump Location
Figure 8

Frequency responses. Measured (+: sweep up, *: sweeep down), predicted with damping (−−: unstable branch, −: stable branch), and predicted without damping (..). ε=0.17, α̂=495, χ̂=71.7.

Grahic Jump Location
Figure 7

Parametric instability region for varying amplitude and frequency; observed instabilities (⋅: secondary instability region, +: sweep up, *: sweep down)

Grahic Jump Location
Figure 6

Three different positions captured with a high speed camera of torsion mode of the tested belt span due to longitudinal-torsion coupling. Ω=5.6, ε=0.12.

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