Modeling and Analysis of Active Differential Dynamics

Active differentials are used to improve the overall performance of traction control and vehicle dynamics control systems. This paper presents the development of a unified mathematical model of active differential dynamics using the bond graph modeling technique. The study includes active limited slip differential and various common types of torque vectoring differentials. Different levels of model complexity are considered, starting from, a second-order model with lumped input and output inertia toward higher-order models including the gear inertia and half-shaft compliance. The model is used for a theoretical analysis of drivability and time response characteristics of the active differential dynamics. The analysts is illustrated by simulation results.

[1]  Matthew Hancock Vehicle handling control using active differentials , 2006 .

[2]  W. E. Tobler,et al.  Bond graph modeling of automotive power trains , 1991 .

[3]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[4]  Davor Hrovat,et al.  Modeling and Analysis of Automatic Transmission Engagement Dynamics-Nonlinear Case Including Validation , 2006 .

[5]  Davor Hrovat,et al.  Modeling and analysis of automatic transmission engagement dynamics-linear case , 2006 .

[6]  Alan S. Perelson,et al.  System Dynamics: A Unified Approach , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  Matthew Hancock,et al.  Modeling of Active Differential Dynamics , 2008 .

[8]  Vladimir Ivanović,et al.  Modeling and Experimental Validation of Active Limited Slip Differential Clutch Dynamics , 2008 .

[9]  F. Assadian,et al.  A Comparison of Yaw Stability Control Strategies for the Active Differential , 2005, Proceedings of the IEEE International Symposium on Industrial Electronics, 2005. ISIE 2005..

[10]  Bernard Friedland,et al.  On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[11]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[12]  Ferruccio Resta,et al.  A new control strategy for a semi-active differential: Part II , 2005 .

[13]  Kaoru Sawase,et al.  Application of active yaw control to vehicle dynamics by utilizing driving/breaking force , 1999 .

[14]  Dean Karnopp,et al.  Computer simulation of stick-slip friction in mechanical dynamic systems , 1985 .