Bifurcation and factors influence analysis on self-excited vibration of tire tread

Wu, Xudong; Zuo, Shuguang; Tianxin, Ni

doi:10.1177/1077546315586495

Cited by 7 publications

(10 citation statements)

References 11 publications

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“…In addition, the lateral dynamics of a vehicle driving straight ahead was also studied. 14 The methods are also shown to be useful in the analysis of wheels, tyres and suspension dynamics, with the damping force shown to dramatically affect the behaviour of the suspension 15 and the slip angle and vehicle speed shown to play major roles in the development of vibration. 14 Shimmy behaviour has also been studied, with limit cycles being observed under bisectional road conditions 16 and bistable parameter ranges were found for towed wheels.…”

Section: Introductionmentioning

confidence: 99%

Numerical continuation applied to internal combustion engine models

Smith

Knowles

Mason

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper proposes tools from bifurcation theory, specifically numerical continuation, as a complementary method for efficiently mapping the state-parameter space of an internal combustion engine model. Numerical continuation allows a steady-state engine response to be traced directly through the state-parameter space, under the simultaneous variation of one or more model parameters. By applying this approach to two nonlinear engine models (a physics-based model and a data-driven model), this work determines how input parameters ‘throttle position’ and ‘desired load torque’ affect the engine’s dynamics. Performing a bifurcation analysis allows the model’s parameter space to be divided into regions of different qualitative types of the dynamic behaviour, with the identified bifurcations shown to correspond to key physical properties of the system in the physics-based model: minimum throttle angles required for steady-state operation of the engine are indicated by fold bifurcations; regions containing self-sustaining oscillations are bounded by supercritical Hopf bifurcations. The bifurcation analysis of a data-driven engine model shows how numerical continuation could be used to evaluate the efficacy of data-driven models.

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Section: Introductionmentioning

confidence: 99%

Numerical continuation applied to internal combustion engine models

Smith

Knowles

Mason

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…In-plane vibration characteristics of the radial tire, such as the vertical vibration (Wu et al., 2017) of the tire, inclusive characteristics (Stojic et al., 2017), and rolling resistance (Miège and Popov, 2005), directly affect the ride comfort of vehicle, acoustic noise, power performance, and fuel economy. Because of the extremely complex structure, material nonlinearity, and geometrical nonlinearity of heavy-loaded radial tires, the analytical characteristics of in-plane testing and modeling belongs to one of the difficult areas of vehicle dynamics research.…”

Section: Introductionmentioning

confidence: 99%

Development and parameter identification of the flexible beam on elastic continuous tire model for a heavy-loaded radial tire

Liu

Gao

2018

Journal of Vibration and Control

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Experimental modal analysis, dynamic modeling, and parameter identification were employed to investigate the flexible beam tire model for a heavy-loaded radial tire. The in-plane bending vibration of the flexible tread is researched with the flexible beam tire model. The coupled vibration equation of the flexible tread and continuous sidewall is modeled with a flexible beam on elastic continuous beam tire model. The nonlinear sidewall dynamics sensitive to the inflation pressure is obtained. The coupled modal features of a heavy-loaded radial tire are presented experimentally for different inflation pressures. Structural parameters are identified by a backward genetic algorithm based on the error between the experimental and analytical modal resonant frequency for different inflation pressures. Experimental and theoretical results show that the flexible beam on elastic continuous beam tire model developed for the heavy-loaded radial tire with a larger flat ratio can achieve higher precision in predicting the in-plane vibration modes of the heavy-loaded radial tire. It can be extended to analyze the vibration modes of the heavy-loaded radial tire with different inflation pressures by taking the inflation pressure-sensitive radial stiffness of the sidewall into consideration.

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“…It is noted that the maximum static friction force F m and the sliding friction force F s are determined by the contact status, tire structural parameters and working condition of the tire. The parameter identification method has been discussed in detail in our previous works [4,8,13]. Thus, taking the vehicle speed V , slip angle α, vertical load F z and tire pressure P as variables, the conditions for lateral self-excited vibration are surveyed.…”

Section: Modeling Of Tire Dynamicsmentioning

confidence: 99%

“…Li et al [7] gave speed conditions of the lateral self-excited vibration of tread and found that polygonal wear occurs at a particular vehicle speed that depends on the frequency of lateral self-vibration. Wu et al [8] discussed the dynamic stability of such lateral self-vibration of tread through bifurcation analysis. Zuo et al [9] compared dynamic tread contact con- [1] ditions between the driving wheel and the following wheel and revealed the mechanism behind the tendency for such abnormal wear to appear on the following wheel.…”

Section: Introductionmentioning

confidence: 99%

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Mechanism and Conditions of the Polygonal Wear of Vehicle Tire

Zuo

Tianxin

et al. 2018

Automot. Innov.

Self Cite

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Polygonal wear seriously decreases the lifespan of a tire of a passenger car and adversely affects vehicle dynamic safety. The present paper builds a model that reflects the dynamic contact characteristics of the tire and reveals the mechanism and conditions of polygonal wear of a tire. The model describes the dynamic contact behavior of the tread block and considers the characteristics of dynamic friction between the road and tread of a rolling tire. Conducting numerical bifurcation analysis, the paper reveals the conditions for self-excited vibration of the tread, i.e., the improper combination of the vertical load, wheel slip angle, tire pressure and vehicle speed considerably strengthen the lateral self-excited vibration of the tread, which is the direct vibrational source of abnormal circumferential polygonal wear. The polygonal wear of a tire occurs when a vehicle travels for a certain long distance at a so-called polygonal wear speed. The polygonal wear speed should induce lateral self-excited vibration on the contact tread of the tire and the frequency of the lateral self-excited vibration should be divisible by the rolling frequency of tire that is determined by the polygonal wear speed. Visible polygonal wear requires that the vehicle travels at a certain polygonal wear speed for a minimal distance to produce a stably developing polygonal wear pattern even for subsequent driving at variable speed.

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Bifurcation and factors influence analysis on self-excited vibration of tire tread

Cited by 7 publications

References 11 publications

Numerical continuation applied to internal combustion engine models

Numerical continuation applied to internal combustion engine models

Development and parameter identification of the flexible beam on elastic continuous tire model for a heavy-loaded radial tire

Mechanism and Conditions of the Polygonal Wear of Vehicle Tire

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