On Contact-Induced Standing Waves in Rotating Tires: Experiment and Theory

Chatterjee, Anindya; Cusumano, Joseph P.; Zolock, John

doi:10.1006/jsvi.1999.2395

Cited by 34 publications

(61 citation statements)

References 21 publications

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“…1 is quite similar to the one by Chatterjee et al [12]. Their treatment, however, was largely different from ours.…”

Section: Equation Of Motion and Vibration Responsesupporting

confidence: 82%

Dynamic response of a cylinder cover under a moving load

Karttunen¹,

Hertzen²

2014

International Journal of Mechanical Sciences

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Cylinders with thin covers are used in high-speed rolling contact industrial applications such as a twocylinder soft calender of a paper machine. In this paper, the dynamic behavior of an elastic cylinder cover is studied using a 1D Pasternak-type foundation model with Kelvin-Voigt damping. The cover is subjected to a moving point load, which is taken to represent a load resultant due to rolling contact. Analytical expressions for the natural frequencies, vibration response, wave dispersion relation, total strain energy and dissipation power of the cover are obtained. To validate the 1D approach, the calculated natural frequencies and modes are compared to those given by a 2D plane strain finite element model, and a good agreement is found. The critical load speed at which traveling waves first appear in the cover is derived for the undamped analytical model on the basis of a resonance condition. The critical speed is shown to be also the minimum phase velocity of the waves in the cover. When damping is included, the wave speeds decrease, lowering also slightly the critical speed, which, in addition, becomes blurred due to the damping. Once a traveling wave has emerged, it remains in the cover also at supercritical speeds due to a spectrum of resonant speeds induced by wave dispersion. At supercritical speeds, reinforced resonances are observed when the head and tail of a traveling wave interact. High shear damping leads to a substantial increase in dissipation power related to heat generation and rolling resistance of the cover already at subcritical speeds.

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“…1 is quite similar to the one by Chatterjee et al [12]. Their treatment, however, was largely different from ours.…”

Section: Equation Of Motion and Vibration Responsesupporting

confidence: 82%

Dynamic response of a cylinder cover under a moving load

Karttunen¹,

Hertzen²

2014

International Journal of Mechanical Sciences

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“…In the case of Krylov's vehicle tire model, the waves appear when the speed of the vehicle exceeds a certain critical speed of the tire flexural waves. Other approaches have also been used to characterise tire standing waves, for example, see [18][19][20][21]. The major outcome of most studies is the capability to predict a critical speed at which the waves first appear.…”

Section: Introductionmentioning

confidence: 99%

A numerical study of traveling waves in a viscoelastic cylinder cover under rolling contact

Karttunen

Hertzen

2013

International Journal of Mechanical Sciences

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Polymer-covered cylinders are widely used in high-speed industrial rolling contact machines. In this paper, traveling waves which appear at high speeds in the viscoelastic polymer cover of a cylinder due to rolling contact are studied using a 2D finite element (FE) model for a two-cylinder system. Through eigenmode analysis of the polymer cover, it is found that an infinite number of natural mode families exist for the cylinder cover due to its finite thickness. A critical speed below which the traveling waves do not appear can be calculated on the basis of a resonance condition using the modal information. In dynamic analyses, traveling waves in the cover are identified as modified quasi-elastic Rayleigh waves composed of the eigenmodes of the polymer cover. The symbiosis of the eigenmode and wave propagation aspects allows the formation of a coherent overall picture of the traveling wave phenomenon. The critical speed according to the resonance condition is also the minimum phase velocity of the waves propagating in the cover. At the critical speed and above, there is a spectrum of resonant speeds due to wave dispersion. It is found that the traveling wave phenomenon is best described as a Rayleigh wave resonance in which contact-induced modified quasi-elastic Rayleigh waves arising at critical and supercritical speeds superpose to form a strong traveling shock wave.

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“…[5,6]). Obviously, a comparative theoretical analysis would be needed to understand the reasons for the discrepancy between the predictions made in papers [4] and [9], which is beyond the scope of this commentary.…”

Section: Discussionmentioning

confidence: 99%

Commentary on Discussion of ‘On the theory of standing waves in tyres at high vehicle speeds’ by V.V. Krylov and O. Gilbert, Journal of Sound and Vibration 329 (2010) 4398–4408

Krylov

2013

Journal of Sound and Vibration

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On Contact-Induced Standing Waves in Rotating Tires: Experiment and Theory

Cited by 34 publications

References 21 publications

Dynamic response of a cylinder cover under a moving load

Dynamic response of a cylinder cover under a moving load

A numerical study of traveling waves in a viscoelastic cylinder cover under rolling contact

Commentary on Discussion of ‘On the theory of standing waves in tyres at high vehicle speeds’ by V.V. Krylov and O. Gilbert, Journal of Sound and Vibration 329 (2010) 4398–4408

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