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Frontiers of Mechanical Engineering

Front Mech Eng    2013, Vol. 8 Issue (2) : 127-136     https://doi.org/10.1007/s11465-013-0254-x
RESEARCH ARTICLE
Nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of profile error
Walha LASSAAD(), Tounsi MOHAMED, Driss YASSINE, Chaari FAKHER, Fakhfakh TAHER, Haddar MOHAMED
Research Unit of Mechanical Dynamic System (UDSM), Mechanical Engineering Department, National Engineers School of Sfax, University of Sfax, Tunisia
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Abstract

In this paper we investigate the nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of defects. The nonlinear developed lumped-mass model includes eight degrees of freedom with two nonlinear hertzian contacts. The first one is located between cam and first roller while the second is between second roller and the sliding rod. The nonlinear dynamic behaviour is described by second order differential equations which are resolved by using the implicit Newmark algorithm combined with the Newton-Raphson iterative scheme. The influence of the cam profile error on the dynamic behaviour is also investigated.

Keywords cam      nonlinear behaviour      oscillating roller follower      profile error     
Corresponding Author(s): LASSAAD Walha,Email:walhalassaad@yahoo.fr   
Issue Date: 05 June 2013
 Cite this article:   
Driss YASSINE,Chaari FAKHER,Fakhfakh TAHER, et al. Nonlinear dynamic behaviour of a cam mechanism with oscillating roller follower in presence of profile error[J]. Front Mech Eng, 2013, 8(2): 127-136.
 URL:  
http://journal.hep.com.cn/fme/EN/10.1007/s11465-013-0254-x
http://journal.hep.com.cn/fme/EN/Y2013/V8/I2/127
Fig.1  Schematic of the cam mechanism with oscillating roller follower
Fig.2  Nonlinear dynamic model of the cam mechanism with oscillating roller follower
Fig.3  A geometric configuration of the cam mechanism with oscillating roller follower
Fig.4  Hertzian deformations on the cam (1) and the roller (2)
ParametersValues
Bearings stiffness/ (N·m-1)K1 = 1e8; K2 = 1e8; K4 = 1e8
Rollers radius /mRr(1) = Rr(2) = 8.e-3
Cam base radius /mRb(1)= 40.e-3
Length on oscillating follower /mL1= 0.05; L2 = 0.04
Thickness of two cylinders in contact /mb = 5e-3
Poisson’s ratiosν1 = 0.3; ν2 = 0.3
Young’s modulus /(N·m-2)E1 = E2 = 2,1.e11
Input Power on the camshaft /WP = 1e4
Angular velocity /(rad·s-1)ω1 = 300
Tab.1  Parameters of the studied mechanism
Fig.5  Time varying cam profile ()
Fig.6  Time fluctuation of the pressure angle ()
Fig.7  Nonlinear dynamic behaviour of the oscillating roller follower (3): (a) Angular displacement; (b) Angular acceleration
Fig.8  Time fluctuations of displacement and acceleration of the sliding rod (5)
Fig.9  Time fluctuations of (a) displacement and (b) acceleration of the cam bearing (1)
Fig.10  Time fluctuations of the hertzian contact forces
Fig.11  Pressure angle () in presence of profile error
Fig.12  Angular acceleration of the oscillating follower
Fig.13  Time fluctuations of accelerations along the direction in presence of profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)
Fig.14  Time fluctuations of the contact forces in the presence of a profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)
Fig.15  Spectra of accelerations along the direction in presence of profile error: (a) on the sliding rod (5); (b) on the bearing of cam (1)
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