In-Plane Flexible Ring Tire Model Development for Ride Comfort &amp; amp; Braking/Driving Performance Analysis under Straight-line Driving Condition

Li, Bin; Yang, Xiaobo; Zhang, Yunqing; Yang, James

doi:10.4271/2015-01-0628

Cited by 7 publications

(5 citation statements)

References 11 publications

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“…where proportional damping matrix C [20] is utilized to simulating the damping characteristic of in-plane vibration, and C ¼ aM þ bKa, b are, respectively, proportional damping coefficient of mass matrix and stiffness matrix. The transfer function can be obtained from Eq.…”

Section: Tire Kinematic Modelmentioning

confidence: 99%

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Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

Liu

Gao

2018

J Braz. Soc. Mech. Sci. Eng.

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With the means of rigid-elastic coupled tire model, the in-plane vibration characteristic of heavy trucktire is investigated and the time-domain vibration response with the proposed tire model is discussed. With the means of finite difference method, rigid-elastic coupled tire model is developed from flexible beam on elastic foundation tire model and the nonlinear radial stiffness of sidewall is derived and related with the inflation pressure and geometrical feature of sidewall curved arc. In-plane vibration characteristic of heavy truck tire, including transfer function and modal parameters is investigated by experimental hammer test. Taking the error between the analytical and experimental modal frequency as the object value, Genetic Algorithm is utilized to identify the unknown structural parameters. In-plane time-domain dynamics response of heavy truck tire utilizing the proposed tire model with linear/nonlinear sidewall radial stiffness is researched and compared with experimental result. Experimental and theoretical results shows that in-plane rigid-elastic coupled tire model with nonlinear sidewall stiffness can be used to better the precision on predicting the vibration feature excited by the random irregular signal. Rigid-elastic coupled tire model with nonlinear sidewall stiffness can be extended to other heavy truck tire with a large section ratio or tires under impulsive loading conditions.

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Section: Tire Kinematic Modelmentioning

confidence: 99%

“…Much research has been focused on the linear force-deformation relationship and different dimensions vibration characteristic. The sidewall refers as the linear elastic foundation and the nonlinear feature resulting from the structural feature and inflation pressure is ignored [20].…”

Section: Introductionmentioning

confidence: 99%

Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

Liu

Gao

2018

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…Some tire models are similar to the tire model established in this paper. 13,[26][27][28][29] The model proposed by Oertel 13 needed to solve the mechanical equilibrium equation of sensor points, which requires a lot of calculation consumption. Umsrithong's 26 model did not consider the bending mechanical properties of the tire belt and the tangent deformation of the tread, and the model only added contact elements to the mass points, which would make the number of mass points in the model coupled with the road roughness.…”

Section: Introductionmentioning

confidence: 99%

“…Umsrithong's 26 model did not consider the bending mechanical properties of the tire belt and the tangent deformation of the tread, and the model only added contact elements to the mass points, which would make the number of mass points in the model coupled with the road roughness. The model established by Li et al [27][28][29] also did not consider the bending mechanical properties of the tire belt, and the computational efficiency of the model given by reference 29 showed that the solving algorithm (implicit/ explicit Euler method) adopted by the model was not efficient enough.…”

Section: Introductionmentioning

confidence: 99%

An in-plane dynamic tire model with real-time simulation capability

Huang

Guo

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part D:

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This article introduces an in-plane dynamic tire model with real-time simulation capabilities. The tire belt is discretized into uniformly distributed mass points, and numerous massless contact elements are added between adjacent mass points. The efficient bending force calculation method and Savkoor dynamic friction coefficient formula are included in the model. Newton’s method and the Newmark-beta method are combined to solve the dynamic equations of the tire model, and the simulation results show that a reasonable model structure could meet the real-time calculation requirements. Particle swarm algorithm was used to identify the model parameters under different conditions. Finally, the model is validated and compared with the test data, showing that the model can express the static, steady-state, and high-frequency dynamic mechanical characteristics of the tire with high accuracy and efficiency.

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“…3 As with the feature of high pressure, low damping, bulky decorative pattern and larger flat ratio, the vibration response while rolling is owned to the structure vibration, especially for speed to 70 km/h, the structural noise is accounted 65% 4 of the tire noise. The tread is excited by the irregular road, 5 which is the only component interfacing with the road and the vibration, and excitation is transferred to rim through sidewall shown in Figure 2. So, the analytical method based on structural vibration is of great significance.…”

Section: Introductionmentioning

confidence: 99%

Vibration transfer function of in-plane rigid–elastic-coupled tire model for heavy-loaded radial tire

Liu

Gao

Wang

et al. 2017

Advances in Mechanical Engineering

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The modeling and vibration transfer function of in-plane rigid-elastic-coupled tire model is put forward for researching the heavy-loaded radial tire with the feather of larger radial length and width ratio. The coupled characteristic of tread and sidewall is taken into consideration, and the coupled natural frequencies are analyzed with the normal pressure and fixed rim. The rigid-elastic coupling equation is modeled with the flexible beam on elastic foundation, which tread is modeled as the Euler beam and the sidewall is regarded as the sub-sectional spring with lumped mass. The dynamic equation is discrete with finite difference method, and three-parameter rigid-elastic-coupled tire model is derived based on the geometrical and structural parameters. The structural parameters of the tire are identified by the genetic algorithm based on the experimental modal parameter of heavy-loaded tire, and the higher order modal frequency is predicted with the analytic method. The analytical transfer function between tread and tread, tread and sidewall is derived. Experimental and theoretical results show that the in-plane rigid-elastic-coupled tire model can achieve the higher precision on predicting the transfer function and vibration feature of heavy-loaded tire within the frequency band of 300 Hz, compared with the method which only considers the coupling of tread and rim and is limited to 180 Hz.

show abstract

In-Plane Flexible Ring Tire Model Development for Ride Comfort & amp; Braking/Driving Performance Analysis under Straight-line Driving Condition

Cited by 7 publications

References 11 publications

Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

An in-plane dynamic tire model with real-time simulation capability

Vibration transfer function of in-plane rigid–elastic-coupled tire model for heavy-loaded radial tire

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