Analysis of forced transient response for rotating tires using REF models

Wei, Yintao; Nasdala, Lutz; Rothert, H.

doi:10.1016/j.jsv.2008.07.007

Cited by 39 publications

(19 citation statements)

References 31 publications

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“…The toroidal shape of the tire is rectified, the tread is assumed to have the characteristics of an infinite beam attached to the elastic structure of the sidewalls, which is modeled with an elastic foundation of the Winkler type. We shall see, the proposed model of tire offers results qualitatively similar to those in the existing literature [11,17], with the advantage [11] of providing information outside the contact patch without the need of a complex formulation of the equations of motion [15][16][17].…”

Section: Analytical Model For the Strain Distribution Over The Tire Ssupporting

confidence: 54%

OPTYRE – A new technology for tire monitoring: Evidence of contact patch phenomena

Roveri

Pepe

Carcaterra

2016

Mechanical Systems and Signal Processing

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Section: Analytical Model For the Strain Distribution Over The Tire Ssupporting

confidence: 54%

OPTYRE – A new technology for tire monitoring: Evidence of contact patch phenomena

Roveri

Pepe

Carcaterra

2016

Mechanical Systems and Signal Processing

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“…2 [23]; and the third part of Equation 7is the initial strain energy of flexible belt ring and σ 0 θ is the initial strain resulting from the inflation pressure and the centrifugal force caused by rotation and calculated as Equation (8) in Figure 5: The kinetic energy of the flexible belt ring, the tire wheel and the continuous sidewall ring can be referred to as c T , w T , and s T in Equation 5:…”

Section: Governing Equations Of Hamilton Variation Principlementioning

confidence: 99%

“…The in-extensibility assumption [23] (the circumferential length of the middle surface of the flexible ring, such as the tire belt and the tire sidewall, is constant during tire deformation) is utilized to simplify the dynamic equation of flexible belt:…”

Section: Simplification Forms Of the Kinematic Equationmentioning

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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“…where and are circumferential and radial displacements of the ring, respectively, and the prime denotes the partial derivative with respect to . Note that the nonlinear term has to be included in the strains in order to compute the initial stress work correctly [8].…”

Section: The Equations Of Motionmentioning

confidence: 99%

“…S. C. Huang [5][6] derived the general equations of motion that governed both transverse and circumferential motions of rotating rings and expanded the solution to forced response. S. J. Kim [7] and Y. T. Wei [8] investigated the forced response for rotating tires under various loading using the REF model. C. R. Dohrmann [9] and S. C. Huang [10] investigated the dynamic analysis of a tire-wheel-suspension assembly using an inextensible circular ring on a foundation connected to the wheel.…”

Section: Introductionmentioning

confidence: 99%

Research on vibration characteristics and its key influencing factors of new mechanical elastic wheel

Wang¹,

Zhao²,

Lin³

et al. 2016

J. vibroeng.

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This paper presents the vibration characteristics and its key influencing factors of a new mechanical elastic wheel (MEW). The MEW was modeled as a ring on elastic foundations (REF) with distributed spring stiffness in the radial and tangential directions. The general forced solutions of inextensible vibration were derived by the use of a modal expansion technique and Arnoldi method, and the accuracy of the solutions had been validated by FEM simulation and modal test under free suspension and various loading situations. The natural frequencies and mode shapes of the rotating MEW could be obtained under free suspension and various loading situations. Moreover, the effects of various rotational speed, loading and different number of hinges on natural frequencies were investigated. Finally, the effect of different number of hinges on the damping ratio of the MEW radial modes was also analyzed. The analysis results reflect the objective law of the actual vibration characteristics of the MEW, and provide a reference for the MEW structure optimization and the vibration characteristics of the whole vehicle.

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Analysis of forced transient response for rotating tires using REF models

Cited by 39 publications

References 31 publications

OPTYRE – A new technology for tire monitoring: Evidence of contact patch phenomena

OPTYRE – A new technology for tire monitoring: Evidence of contact patch phenomena

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

Research on vibration characteristics and its key influencing factors of new mechanical elastic wheel

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