Dynamic modeling of belt drive systems: effects of the shear deformations

Multiribbed serpentine belt drive systems are widely adopted in accessory drive automo- tive applications due to the better performances relative to the flat or V-belt drives. Nevertheless, they can generate unwanted noise and vibration which may affect the correct functionality and the fatigue life of the belt and of the other components of the transmission. The aim of the paper is to analyze the effect of the shear deflection in the rubber layer between the pulley and the belt fibers on the rotational dynamic behavior of the transmission. To this end the Firbank's model has been extended to cover the case of small amplitude vibrations about mean rotational speeds. The model evidences that the shear deflection can be accounted for by an elastic term reacting to the torsional oscil- lations in series with a viscous term that dominates at constant speed. In addition, the axial deformation of the belt spans are taken into account. The numerical model has been validated by the comparison with the experimental results obtained on an accessory drive transmission including two pulleys and an automatic tensioner. The results show that the first rotational modes of the system are dominated by the shear deflection of the belt

[1]  Michael Leamy.  Dynamics Analysis of the Time-Varying Operation of Belt-Drives , 2003 .

[2]  A. Galip Ulsoy,et al.  Free Vibration of Serpentine Belt Drive Systems , 1996 .

[3]  A. Galip Ulsoy,et al.  Design of Belt-Tensioner Systems for Dynamic Stability , 1985 .

[4]  B. G. Gerbert.  Tensile Stress Distribution in the Cord of V-Belts , 1975 .

[5]  G. Gerbert,et al.  Belt Number Factor in Multiple V-Belt Drives , 1996 .

[6]  C. D. Mote,et al.  Classical Vibration Analysis of Axially Moving Continua , 1990 .

[7]  G. Gerbert.  A Note on Slip in V-Belt Drives , 1976 .

[8]  B. G. Gerbert.  Some Notes on V-Belt Drives , 1981 .

[9]  Robert G. Parker,et al.  Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives , 2003 .

[10]  Michael J. Leamy,et al.  Nonlinear Periodic Response of Engine Accessory Drives With Dry Friction Tensioners , 1998 .

[11]  M. B. Rubin.  An Exact Solution for Steady Motion of an Extensible Belt in Multipulley Belt Drive Systems , 2000 .

[12]  T.H.C. Childs,et al.  Power transmission by flat, V and timing belts , 1989 .

[13]  R. Sack.  Transverse oscillations in travelling strings , 1954 .

[14]  K. Johnson.  Contact Mechanics: Frontmatter , 1985 .

[15]  B. G. Gerbert.  Pressure Distribution and Belt Deformation in V-Belt Drives , 1975 .

[16]  Jean W. Zu,et al.  ONE-TO-ONE AUTO-PARAMETRIC RESONANCE IN SERPENTINE BELT DRIVE SYSTEMS , 2000 .

[17]  G. Gerbert.  Belt slip : A unified approach , 1996 .

[18]  T. C. Firbank,et al.  Mechanics of the belt drive , 1970 .

[19]  A. Galip Ulsoy,et al.  Nonlinear Coupled Vibration Response of Serpentine Belt Drive Systems , 1996 .

[20]  Tamer M. Wasfy,et al.  Transient and Steady-State Dynamic Finite Element Modeling of Belt-Drives , 2002 .

[21]  Stephen E. Bechtel,et al.  The stretching and slipping of belts and fibers on pulleys , 2000 .

[22]  H. Hansson.  Geometry Conditions for Good Power Capacity in a V-Ribbed Belt Drive , 1990 .

[23]  Jean W. Zu,et al.  MODAL ANALYSIS OF SERPENTINE BELT DRIVE SYSTEMS , 1999 .

[24]  A. Galip Ulsoy,et al.  Rotational Response and Slip Prediction of Serpentine Belt Drive , 1993 .

[25]  A. E. Traver,et al.  Multipulley Belt Drive Mechanics: Creep Theory vs Shear Theory , 1995 .

[26]  R. Parker,et al.  Steady Mechanics of Belt-Pulley Systems , 2005 .

[27]  Giancarlo Genta,et al.  Vibration of Structures and Machines: Practical Aspects , 1992 .

[28]  Jean W. Zu,et al.  Complex modal analysis of non-self-adjoint hybrid serpentine belt drive systems , 2001 .