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Mathematical Problems in Engineering
Volume 2014, Article ID 712472, 12 pages
http://dx.doi.org/10.1155/2014/712472
Research Article

Modeling and Stability Analysis of Wedge Clutch System

National Lab of Automotive Electronics and Control, Shanghai Jiao Tong University, Shanghai 200240, China

Received 13 January 2014; Accepted 11 April 2014; Published 5 May 2014

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2014 Jian Yao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A wedge clutch with unique features of self-reinforcement and small actuation force was designed. Its self-reinforcement feature, associated with different factors such as the wedge angle and friction coefficient, brings different dynamics and unstable problem with improper parameters. To analyze this system, a complete mathematical model of the actuation system is built, which includes the DC motor, the wedge mechanism, and the actuated clutch pack. By considering several nonlinear factors, such as the slip-stick friction and the contact or not of the clutch plates, the system is piecewise linear. Through the stability analysis of the linearized system in clutch slipping phase, the stable condition of the designed parameters is obtained as . The mathematical model of the actuation system is validated by prototype testing. And with the validated model, the system dynamics in both stable and unstable conditions is investigated and discussed in engineering side.