Vehicle stability largely depends on the vibration of the steering system. A four degrees of freedom dynamic model of an automotive steering system with a magneto-rheological damper is presented in this study. Firstly, an equivalent mathematical model of the steering system is developed. The nonlinear equation of motion obtained from the dynamic model is then linearized around its equilibrium point to make it suitable for the design of an appropriate controller for vibration suppression. In this work, a new type of adaptive sliding mode controller is designed for control of the magneto-rheological damper and hence to control unwanted vibration. It is shown that the proposed control logic is very effective for settling steering motion near the equilibrium position. The shimmy vibrations of the wheels are reduced by a considerable amount and the steering system becomes stable. In addition, a comparative work is undertaken between the proposed controller and an ordinary sliding mode controller to demonstrate the advantage of the proposed methodology.
AhmadianMPareCA (2000) A quarter-car experimental analysis of alternative semiactive control methods. Journal of Intelligent Material Systems and Structures11(8): 604–612.
2.
AtabayEOzkolI (2013) Application of a magnetorheological damper modeled using the current–dependent Bouc–Wen model for shimmy suppression in a torsional nose landing gear with and without freeplay. Journal of Vibration and Control20(11): 1622–1644.
3.
Cho JW, Pang YS, Choi SB, et al. (2007) Fuzzy Moving Sliding Mode Control of Vehicle Suspension Featuring ER Shock Absorber. In: International conference on electro-rheological fluids and magneto-rheological suspensions, Lake Tahoe, USA, 18–22 June 2006. Toh Tuck Link, Singapore: World Scientific Publishing and Imperial College Press.
4.
ChoiSBChoiYTChangEGet al. (1998) Control characteristics of a continuously variable ER damper. Mechatronics8(2): 143–161.
5.
ChoiSBNamMHLeeBK (2000) Vibration control of a MR seat damper for commercial vehicles. Journal of Intelligent Material Systems and Structures11(12): 936–944.
6.
De FilippiPTanelliMCornoMet al. (2011) Semi-active steering damper control in two-wheeled vehicles. IEEE Transactions on Control Systems Technology19(5): 1003–1020.
7.
Dutta S, Narahari S and Chakraborty G (2013) Semi-active vibration isolation of a quarter car model under random road excitations using magnetorheological damper. In: 1st international and 16th national conference on machines and mechanisms, Roorkee, India, 18–21 December 2013, pp.999–1005. Roorkee, Indian: Indian Institute of Technology.
8.
EsmailzadehEFarzanehKA (1999) Shimmy vibration analysis of aircraft landing gears. Journal of Vibration and Control5(1): 45–56.
9.
GucluRGulezK (2008) Neural network control of seat vibrations of a non-linear full vehicle model using PMSM. Mathematical and Computer Modelling47(11): 1356–1371.
10.
GuoDLHuHYYiJQ (2004) Neural network control for a semi-active vehicle suspension with a magnetorheological damper. Journal of Vibration and Control10(3): 461–471.
11.
JollyMRCarlsonJDMunozBC (1996) A model of the behaviour of magnetorheological materials. Smart Materials and Structures5(5): 607.
12.
KovacsAP (1998) Computational vibration analysis of vehicle shimmy by a power-work method. Vehicle System Dynamics29(6): 341–364.
13.
LaiCYLiaoWH (2002) Vibration control of a suspension system via a magnetorheological fluid damper. Journal of Vibration and Control8(4): 527–547.
14.
Li C and Zhao Q (2010) Fuzzy control of vehicle semi-active suspension with MR damper. In: 2010 WASE international conference on information engineering (ICIE) Beidaihe, China, 14–15 August 2010, volume 3, pp.426–429. IEEE.
15.
LiSLinY (2006) Study on the bifurcation character of steering wheel self-excited shimmy of motor vehicle. Vehicle System Dynamics44(supplement): 115–128.
16.
Liu Z, Payre G, Bourassa P (1996) Nonlinear oscillations and chaotic motions in a road vehicle system with driver steering control. Nonlinear Dynamics 9(3): 281–304.
17.
LuJWXinJYVakakisAFet al. (2013a) Influences of system parameters on dynamic behavior of the vehicle shimmy system with clearance in steering linkage. Journal of Vibration and Control20(2): 359–370.
18.
LuJXuYHuCet al. (2013b) 5-DOF dynamic model of vehicle shimmy system with clearance at universal joint in steering handling mechanism. Shock and Vibration20(5): 951–961.
19.
MantarasDALuqueP (2012) Virtual test rig to improve the design and optimisation process of the vehicle steering and suspension systems. Vehicle System Dynamics50(10): 1563–1584.
20.
OnoEHosoeSTuanHD (1998) Bifurcation in vehicle dynamics and robust front wheel steering control. IEEE Transactions on Control Systems Technology6(3): 412–420.
21.
PacejkaHB (1965) Analysis of the shimmy phenomenon. Proceedings of the Institution of Mechanical Engineers: Automobile Division180(1): 251–268.
22.
ParkDWChoiSB (1999) Moving sliding surfaces for high-order variable structure systems. International Journal of Control72(11): 960–970.
23.
QaziAJde SilvaCWKhanAet al. (2014) Performance analysis of a semiactive suspension system with particle swarm optimization and fuzzy logic control. The Scientific World Journal 20142014: 1–12. Article ID 174102, DOI: 10.1155/2014/174102.
24.
RaoLGNarayananS (2009) Sky-hook control of nonlinear quarter car model traversing rough road matching performance of LQR control. Journal of Sound and Vibration323(3): 515–529.
25.
ŞahinİEnginTÇeşmeciŞ (2010) Comparison of some existing parametric models for magnetorheological fluid dampers. Smart Materials and Structures19(3): 035012.
26.
Shehata A, Metered H and Oraby WA (2015) Vibration control of active vehicle suspension system using fuzzy logic controller. In: Vibration Engineering and Technology of Machinery. Gewerbestrasse 11, Switzerland: Springer International Publishing, pp.389–399.
27.
SomieskiG (2001) An eigenvalue method for calculation of stability and limit cycles in nonlinear systems. Nonlinear dynamics26(1): 3–22.
28.
SohnJWChoiSBWereleyNM (2009) Discrete-time sliding mode control for MR vehicle suspension system. Journal of Physics: Conference Series149(1): 012080.
29.
SpencerBFDykeSJSainMKet al. (1997) Phenomenological model for magnetorheological dampers. Journal of Engineering Mechanics123(3): 230–238.
30.
TakácsDStépánG (2007) Stability of towed wheels with elastic steering mechanism and shimmy damper. Periodica Polytechnica. Engineering. Mechanical Engineering51(2): 99.
31.
ThotaPKrauskopfBLowenbergM (2012) Multi-parameter bifurcation study of shimmy oscillations in a dual-wheel aircraft nose landing gear. Nonlinear Dynamics70(2): 1675–1688.
32.
WangDHLiaoWH (2011) Magnetorheological fluid dampers: a review of parametric modelling. Smart Materials and Structures20(2): 023001.
33.
WangWSongY (2012) Nonlinear vibration semi-active control of automotive steering using magneto-rheological damper. Meccanica47(8): 2027–2039.
34.
Yokoyama M, Hedrick JK and Toyama S (2001) A model following sliding mode controller for semi-active suspension systems with MR dampers. In: Proceedings of the 2001 American control conference, 2001, Arlington, VA, 25–27 June 2001, volume 4, pp.2652–2657. Pennsylvania, USA: IEEE.
35.
ZareSHAbbasiMMahdaviHet al. (2012) Semi-active vibration control of an eleven degrees of freedom suspension system using neuro inverse model of magnetorheological dampers. Journal of Mechanical Science and Technology26(8): 2459–2467.
36.
ZhouJXZhangL (2005) Incremental harmonic balance method for predicting amplitudes of a multi-dof non-linear wheel shimmy system with combined Coulomb and quadratic damping. Journal of Sound and Vibration279(1): 403–416.
