Modeling joints with clearance and friction in multibody dynamic simulation of automotive differentials

Defects in kinematic joints can sometimes highly influence the simulation response of the whole multibody system within which these joints are included. For instance, the clearance, the friction, the lubrication and the flexibility affect the transient behaviour, reduce the component life and produce noise and vibration for classical joints such as prismatics, cylindrics or universal joints. In this work, a new 3D cylindrical joint model which accounts for the clearance, the misalignment and the friction is presented. This formulation has been used to represent the link between the planet gears and the planet carrier in an automotive differential model.

[1]  Hamid M. Lankarani,et al.  Continuous contact force models for impact analysis in multibody systems , 1994, Nonlinear Dynamics.

[2]  Christoph Glocker,et al.  Modeling and analysis of rigid multibody systems with translational clearance joints based on the nonsmooth dynamics approach , 2010 .

[3]  Margarida F. Machado,et al.  On the continuous contact force models for soft materials in multibody dynamics , 2011 .

[4]  Peter Ravn,et al.  A Continuous Analysis Method for Planar Multibody Systems with Joint Clearance , 1998 .

[5]  Olivier Bruls,et al.  SIMULATION OF DIFFERENTIALS IN FOUR-WHEEL DRIVE VEHICLES USING MULTIBODY DYNAMICS , 2011 .

[6]  C. Glocker,et al.  Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach , 2010 .

[7]  Paulo Flores,et al.  A parametric study on the dynamic response of planar multibody systems with multiple clearance joints , 2010 .

[8]  Jorge Ambrósio,et al.  Improved bushing models for general multibody systems and vehicle dynamics , 2009 .

[9]  Olivier Bruls,et al.  A Newmark-type integrator for flexible systems considering nonsmooth unilateral constraints , 2012 .

[10]  M. Arnold,et al.  Convergence of the generalized-α scheme for constrained mechanical systems , 2007 .

[11]  Alberto Cardona,et al.  Flexible three dimensional gear modelling , 1995 .

[12]  Jintai Chung,et al.  A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method , 1993 .

[13]  Laetitia Paoli,et al.  Numerical simulation of a model of vibrations with joint clearance , 2008, Int. J. Comput. Appl. Technol..

[14]  Olivier A. Bauchau,et al.  Modeling of joints with clearance in flexible multibody systems , 2001 .

[15]  M. Géradin,et al.  Flexible Multibody Dynamics: A Finite Element Approach , 2001 .

[16]  H. Movahedi-Lankarani.  Canonical equations of motion and estimation of parameters in the analysis of impact problems. , 1988 .