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Shock and Vibration
Volume 20, Issue 5, Pages 951-961
http://dx.doi.org/10.3233/SAV-130796

5-DOF Dynamic Model of Vehicle Shimmy System with Clearance at Universal Joint in Steering Handling Mechanism

Jianwei Lu,1,2 Yi Xu,1 Chen Hu,1 Alexander F. Vakakis,2 and Lawrence A. Bergman3

1School of Mechanical and Automotive Engineering, Hefei University of Technology, Hefei, Anhui, China
2Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA
3Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA

Received 2 October 2012; Revised 11 January 2013; Accepted 13 April 2013

Copyright © 2013 Hindawi Publishing Corporation. 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

5-DOF dynamic model of vehicle shimmy system with clearance in universal joint of steering handling mechanism is presented. The sub model of cross shaft universal joint with clearance is built based on Hertz' theory, and two-state model is applied to describe the contact force. The sub model of the universal joint is combined with the simplified dynamic model of steering system, and a 5-DOF dynamic model of vehicle shimmy system with consideration of assembling clearance in universal joint of steering handling mechanism is presented. Based on this model, numerical analysis is carried out to evaluate the influence of clearance in universal joint on the dynamic behavior of the vehicle shimmy system. The results show that the clearance and some other parameters, such as vehicle speed, have coupled contribution to the dynamic behavior of the vehicle shimmy system. The conclusions provide theoretical basis for effective attenuation of vehicle shimmy, especially for those in-service vehicles.