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Experimental and Theoretical Investigation on the Nonlinear Mathieu Equation Applied to a Belt-Pulley System

[+] Author Affiliations
Guilhem Michon

Laboratoire LMS, Toulouse, France

Lionel Manin, Regis Dufour

LaMCoS INSA-Lyon, Villeurbanne, France

Robert G. Parker

Ohio State University, Columbus, OH

Paper No. DETC2007-35291, pp. 975-981; 7 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


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 nonlinear Mathieu equation. The analyzes are performed via either the harmonic balance method for establishing the instability regions or the multiple scales approach for predicting the nonlinear response. An experimental set-up gives rise to non-linear parametric instabilities. The experimental investigation shows that the model is satisfactory.

Copyright © 2007 by ASME
Topics: Equations , Pulleys , Belts



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