Statistical analysis of vibration in tyres

Bot, Alain Le; Bazari, Zakia; Klein, Philippe; Lelong, Joël

doi:10.1016/j.jsv.2016.12.030

Cited by 17 publications

(11 citation statements)

References 23 publications

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“…The phase and group speeds in the circumferential direction for the parameters given above are drawn in figure 2 (see [16] for details). The cut-on frequency is 45 Hz.…”

Section: Application To Rolling Tyresmentioning

confidence: 99%

“…Figures 3 and 4 concern the one-third octave band 200 Hz characterized by a modal field regime [16]. The phase speed is c p = 58 m s −1 and the group speed c g = 68 m s −1 .…”

Section: Application To Rolling Tyresmentioning

confidence: 99%

“…At this frequency, the tyre vibration is highly attenuated so that it propagates like in an infinite space. The vibration is dominated by a free-field regime [16]. The phase speed is c p = 131 m s −1 and the group speed c g = 244 m s −1 .…”

Section: Application To Rolling Tyresmentioning

confidence: 99%

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Analytical solution for bending vibration of a thin-walled cylinder rolling on a time-varying force

et al. 2018

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This paper presents the analytical solution of radial vibration of a rolling cylinder submitted to a time-varying point force. In the simplest situation of simply supported edges and zero in-plane vibration, the cylinder is equivalent to an orthotropic pre-stressed plate resting on a visco-elastic foundation. We give the closed-form solution of vibration as a series of normal modes whose coefficients are explicitly calculated. Cases of both deterministic and random forces are examined. We analyse the effect of rolling speed on merging of vibrational energy induced by Doppler's effect for the example of rolling tyre.

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“…The phase and group speeds in the circumferential direction for the parameters given above are drawn in figure 2 (see [16] for details). The cut-on frequency is 45 Hz.…”

Section: Application To Rolling Tyresmentioning

confidence: 99%

“…Figures 3 and 4 concern the one-third octave band 200 Hz characterized by a modal field regime [16]. The phase speed is c p = 58 m s −1 and the group speed c g = 68 m s −1 .…”

Section: Application To Rolling Tyresmentioning

confidence: 99%

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Analytical solution for bending vibration of a thin-walled cylinder rolling on a time-varying force

et al. 2018

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“…According the different modeling methods for the flexible tread, the flexible tread tire model can be divided into the tensile string tire model, Euler beam tire model (Krylov and Gilbert, 2010), Timoshenko beam tire model (Pinnington, 2006), flexible ring tire model (Vu et al., 2017), orthotropic plate tire model (LeBot et al., 2017), and shell tire model (Lecomte et al., 2010). The tensile string tire model models the inflation pressure as a tensile force and the flexible tread is considered to be a flexible string, while the bending stiffness is ignored.…”

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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“…Being the typical tire model respective of the mechanical structure-based tire model, the flexible belt tire model simplifies the tire as the flexible belt on an elastic foundation (referred to as the tire sidewall) and can range from one dimension to three dimensions. The circumference vibration of the flexible belts can be featured as the one-dimensional tire model [14] (referred to as the radial deformation in the polar coordinate system), or the two-dimensional tire model [15] (referred to as the radial and tangential deformation in the polar coordinate system), while the cross-section vibration of the belts [16] is added to form the three-dimensional tire model (referred to as the radial, tangential, and lateral deformation [17] in polar coordinates). The stiffness dimension of the sidewall spring model is consistent with the belt dimension ranging from one dimension [18] to three dimensions [19].…”

Section: Introductionmentioning

confidence: 99%

Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

2018

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This paper investigates the planar vibration characteristic of heavy load radial tires with a large flat ratio. A proposed tire model with a flexible ring on an elastic continuous foundation is investigated utilizing kinematic modeling and experimental modal analysis. Planar coupling deformation of the radial and tangential direction is considered to enrich the kinematic characteristic of the flexible belt and the continuous sidewall; a flexible ring on an elastic continuous foundation tire model is proposed to investigate the coupling vibration characteristic between the flexible belt and the continuous sidewall. In-extensibility assumption is utilized to simplify the proposed tire model and the planar vibration modal features of the heavy load radial tire are discussed. The variation of the inflation pressure on the radial and tangential stiffness of the sidewall spring model is enriched into the flexible ring on an elastic continuous foundation tire model to extend the modal prediction of the tires with a different inflation pressure. Taking the relative error between the experimental and analytical modal resonance frequency of the tested tire with a different inflation pressure as the object value, structural parameters of the proposed tire model are identified by a backward genetic algorithm. Experimental and theoretical results show that: the planar coupling vibration characteristic of the heavy load radial tire can be predicted precisely with the flexible ring on an elastic continuous foundation tire model; meanwhile, considering the linear variations of the radial and tangential sidewall stiffness due to the inflation pressure, the proposed tire model can be extended to analyze the vibration characteristic of the heavy load radial tire with a different inflation pressure.

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Statistical analysis of vibration in tyres

Cited by 17 publications

References 23 publications

Analytical solution for bending vibration of a thin-walled cylinder rolling on a time-varying force

Analytical solution for bending vibration of a thin-walled cylinder rolling on a time-varying force

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

Development of the Flexible Ring on an Elastic Continuous Foundation Tire Model for Planar Vibration of the Heavy Load Radial Tire

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