Shimmy model for electric vehicle with independent suspensions

Tian, Mi; Stépàn, Gábor; Takács, Dénes; Chen, Nan

doi:10.1177/0954407017701282

Cited by 18 publications

(17 citation statements)

References 22 publications

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“…(1) e curves around which the amplitudes of front wheels' shimmy and pitman arm's swing vary with vehicle velocity are arched, which is consistent with the conclusion in the study of Lu et al [17] and Mi et al [18]. (2) e curves around which the amplitudes of front wheel axes' lateral swing and the motions of the vehicle body vary with vehicle velocity present saddle shape whose local maximum is found in the highvelocity region and the low-velocity region, and the local minimum is found in the medium-velocity region.…”

Section: Relationship Between the Amplitude Of Each Dof And Vehicle Vsupporting

confidence: 87%

“…Consequently, x 0 is one of the equilibrium points of the system represented by equation (18). When x varies in the vicinity of x 0 , the nonlinear differential equation (18) can be rewritten as following.…”

Section: Existence Analysis Of Hopf Bifurcationmentioning

confidence: 99%

“…It is assumed that a 0.01 rad angular displacement is exerted on the front-left wheel as initial excitation. Based on equations (10)- (17) and the parameters listed in Tables 1 and 2 (for choice of parameters in Table 2, see Wei et al [14] and Mi et al [18]), numerical simulation can be carried out. e dynamic responses of front wheels' shimmy, pitman arm's swing, and front wheel axes' lateral swing in two systems at the velocity of 10 m/s are shown as Figures 4-6, where the time history response and steadystate phase portrait of each DoF are drawn on.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…With the rapid development of new energy vehicle, the shimmy problem of electric vehicle stimulates the interest of some researchers. For instance, Mi et al [18] paid more attention to the shimmy problem of electric vehicle with independent suspensions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body

Zhang

Jin

et al. 2019

Shock and Vibration

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Based on the Lagrange equation, a 9-degrees-of-freedom shimmy model with consideration of the coupling effects between the motions of vehicle body and the shimmy of front wheels and a 5-degrees-of-freedom shimmy model ignoring these coupling effects for a vehicle with double-wishbone independent front suspensions are presented here to study the problem of vehicle shimmy. According to the eigenvalue loci of system's Jacobian matrix plotted on the complex plane, the Hopf bifurcation characteristics of nonlinear shimmy are studied and the conditions for the generation of limit cycle are analyzed. Numerical calculation and simulation are used to study the dynamic behavior of vehicle shimmy. By comparing the dynamic responses of two different shimmy models, the coupling effects of vehicle body on vehicle shimmy are studied. Finally, the relationship between the amplitude of each DoF and vehicle velocity and the influences of vehicle parameters such as the mass of vehicle body, the longitudinal position of the center of gravity of vehicle body, and the inclination angle of front suspension on shimmy are studied.

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Section: Relationship Between the Amplitude Of Each Dof And Vehicle Vsupporting

confidence: 87%

Section: Existence Analysis Of Hopf Bifurcationmentioning

confidence: 99%

Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body

Zhang

Jin

et al. 2019

Shock and Vibration

Self Cite

View full text Add to dashboard Cite

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“…Electric vehicles (EVs) have attracted research attention worldwide because of the advantages in emission reductions and fuel economy. 1–5 Many control strategies have been well studied and implemented in vehicle control field, that is robust control 6 and networked control. 7,8 As for in-wheel motor (IWM) EVs, the IWMs are mounted in the wheels, more flexibility actuation can be realized and the stability can be enhanced.…”

Section: Introductionmentioning

confidence: 99%

Differential steering-based electric vehicle lateral dynamics control with rollover consideration

Jing

Wang

Liu

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article investigates the differential steering-based schema to control the lateral and rollover motions of the in-wheel motor-driven electric vehicles. Generated from the different torque of the front two wheels, the differential steering control schema will be activated to function the driver’s request when the regular steering system is in failure, thus avoiding dangerous consequences for in-wheel motor electric vehicles. On the contrary, when the vehicle is approaching rollover, the torque difference between the front two wheels will be decreased rapidly, resulting in failure of differential steering. Then, the vehicle rollover characteristic is also considered in the control system to enhance the efficiency of the differential steering. In addition, to handle the low cost measurement problem of the reference of front wheel steering angle and the lateral velocity, an [Formula: see text] observer-based control schema is presented to regulate the vehicle stability and handling performance, simultaneously. Finally, the simulation is performed based on the CarSim–Simulink platform, and the results validate the effectiveness of the proposed control schema.

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Dynamic shimmy behavior and bifurcation analysis of driver–vehicle–road system

Wei

et al. 2023

Meccanica

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Based on the stretched string tyre model, the constraint equation with consideration of the dynamic coupling between the front wheel shimmy and plane motion of the vehicle is derived. On this basis, a novel dynamic shimmy model of driver-vehicle-road system is proposed. The root loci of the dynamic system are analyzed and two critical vehicle speeds are obtained by solving the Jacobian matrix. For two critical vehicle speeds, the centre manifold theory is applied to reduce the dynamic system and examine the stability of the limit cycle. The system stability region for different system parameters and road adhesion coefficients is also analyzed. Furthermore, the saddle node (SN) bifurcation and Hopf bifurcation characteristics of the dynamic system considering the steering input are studied with the help of the complexification-averaging (CA) method. Then, the mathematical expression of the periodic solution is obtained, and the effects of system parameters and vehicle driving conditions on the bifurcation characteristics are also investigated. According to the numerical and analytical results, measures to suppress vehicle shimmy are proposed. Finally, the experimental data verify the reliability of the shimmy model.

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Shimmy model for electric vehicle with independent suspensions

Cited by 18 publications

References 22 publications

Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body

Modeling and Analysis of Vehicle Shimmy with Consideration of the Coupling Effects of Vehicle Body

Differential steering-based electric vehicle lateral dynamics control with rollover consideration

Dynamic shimmy behavior and bifurcation analysis of driver–vehicle–road system

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