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Determination of transition curves for a gear system with coulomb friction

Saryazdi, M. Gh ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2006-13447
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2006
  4. Abstract:
  5. This paper discusses the determination of the transition curves for a pair of spur gear with coulomb friction. Transition curves are the loci of periodic response of parametrically excited systems and separate the stable and unstable solutions. A discrete model of a pair of spur gear is developed and the friction forces are calculated base on instantaneous dynamic force between gear teeth. The dynamic equation of the system is a linear ordinary differential equation with periodic coefficients. Periodic friction torque, as the parametric excitation is represented by Fourier series. The loci of periodic solutions are determined in μ - Γ plane (coefficient of friction-contact ratio) by strained parameters method. The influence of angular velocity on transition curves and stability zones is examined. Finally, stable and unstable zones are determined and the existence of periodic solutions on transition curves is verified by numerical analysis. Copyright © 2006 by ASME
  6. Keywords:
  7. Coulomb blockade ; Differential equations ; Fourier series ; Friction ; Linear equations ; Mathematical models ; Numerical analysis ; Coulomb friction ; Dynamic equations ; Parametric excited system ; Strained parameters method ; Spur gears
  8. Source: 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006, Chicago, IL, 5 November 2006 through 10 November 2006 ; 2006 ; 01608835 (ISSN); 0791837904 (ISBN); 9780791837900 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2006/47667/231/318717