Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance

LI Shao-hua; WU Jin-yi; HU Bin

doi:10.3879/j.issn.1000-0887.2013.09.002

Volume 34 Issue 9

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LI Shao-hua, WU Jin-yi, HU Bin. Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance[J]. Applied Mathematics and Mechanics, 2013, 34(9): 891-899. doi: 10.3879/j.issn.1000-0887.2013.09.002

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Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance

doi: 10.3879/j.issn.1000-0887.2013.09.002

School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China

Funds: The National Natural Science Foundation of China(10932006;11072159)

Received Date: 2013-06-25
Rev Recd Date: 2013-07-07
Publish Date: 2013-09-15

Abstract

Abstract

A closed-loop driver-vehicle-road model with two degrees of freedom (DOF) for a three-axle heavy vehicle was set up. With the influence of the road directional disturbance and driver control considered,the vehicle ordinary differential equations of motion were established. The influences of system parameters including wheelbase,preview distance,loading,time delay of driver control and tire lateral stiffness on steering stability were studied by numerical simulations,based on the Hopf bifurcation theory. The range of numerical stability of the steering system was also determined. Moreover,the nonlinear dynamics of this closed-loop driver-vehicle-road system at different vehicle running speeds were investigated by numerical methods,such as bifurcation,time history curve,phase trajectory,power spectrum,Poincaré section and Lyapunov exponent. It is shown that periodic,quasi-periodic and chaotic motions may take place with the increase of running speed,and the lateral stability of the vehicle mainly depends on the vehicle and driver model parameters.
- heavy vehicle,
- driver model,
- nonlinear dynamics,
- stability,
- chaotic

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References(15)

References

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