Characterization of frictional hysteresis in ball-bearing guideways

Al‐Bender, Farid; Symens, Wim

doi:10.1016/j.wear.2004.11.018

Cited by 44 publications

(24 citation statements)

References 27 publications

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“…This eventual rolling regime is termed gross rolling; the period building up to it, from commencement of rolling, is termed the prerolling regime. The resultant traction in this regime is characterized by rate-independent hysteresis behavior with nonlocal memory in function of the traversed displacement [1]. Although steady-state gross rolling is fairly well understood and theoretically founded, the situation is different in regard to prerolling.…”

Section: Introductionmentioning

confidence: 99%

A Model of the Transient Behavior of Tractive Rolling Contacts

Al‐Bender

Moerlooze

2008

Advances in Tribology

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When an elastic body of revolution rolls tractively over another, the period from commencement of rolling until gross rolling ensues is termed the prerolling regime. The resultant tractions in this regime are characterized by rate-independent hysteresis behavior with nonlocal memory in function of the traversed displacement. This paper is dedicated to the theoretical characterization of traction during prerolling. Firstly, a theory is developed to calculate the traction field during prerolling in function of the instantaneous rolling displacement, the imposed longitudinal, lateral and spin creepages, and the elastic contact parameters. Secondly, the theory is implemented in a numerical scheme to calculate the resulting traction forces and moments on the tractive rolling of a ball. Thirdly, the basic hysteresis characteristics are systematically established by means of influence-parameters simulations using dimensionless forms of the problem parameters. The results obtained are consistent with the limiting cases available in literature and they confirm experimental prerolling hysteresis observations. Furthermore, in a second paper, this theory is validated experimentally for the case of V-grooved track.

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Section: Introductionmentioning

confidence: 99%

A Model of the Transient Behavior of Tractive Rolling Contacts

Al‐Bender

Moerlooze

2008

Advances in Tribology

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“…Here, the nonlinear element is replaced by an element that gives the fundamental component in Fourier terms, of the output of that non-linear element for a sinusoidal input. In [22], this type of analysis is carried out to obtain three characterizing parameters of the hysteresis loop. The equivalent stiffness k e and the equivalent damping, c e , which give rise to an excitation dependent equivalent damping ratio ζ r .…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The equivalent stiffness k e and the equivalent damping, c e , which give rise to an excitation dependent equivalent damping ratio ζ r . The equations obtained in [22] are…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The transition period, building up to steady, gross rolling, which is denominated the pre-rolling period, is characterized by rate independent hysteresis behavior with nonlocal-memory effect [22]. In an earlier publication [23], the authors present a transient model which is able to simulate the motion and traction stresses in a tractive rolling contact, subjected to a constant creepage.…”

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confidence: 99%

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Modeling of the dynamic behavior of systems with rolling elements

Moerlooze

Al‐Bender

Brussel

2011

International Journal of Non-Linear Mechanics

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Bearings, friction wheels, cams etc. are widely employed elements in machine construction. The modeling of the dynamics of rolling friction plays therefore a crucial role in the simulation and optimization of such systems. This paper describes a recently developed transient-rolling-friction model with its application to different generic dynamical systems, to simulate the effects of rolling friction or traction on the dynamics of mechanical systems. The results, which are expressed in terms of the complex stiffness arising in the rolling-contact patches,show that the behavior depends on both the amplitude and the frequency of oscillation. For low amplitudes and frequencies, the behavior is quasi linear. For increasing amplitudes and frequencies, however, strong nonlinearities appear, leading to complex behavior.

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“…Substituting the pressure in the ith raceway Spinning friction s f . Linear guides that operating with nonzero contact angles experience spinning contact motions, and the spinning force is given as follows [24], where s µ is the friction coefficient under spinning conditions.…”

Section: Frictional Heat Generationmentioning

confidence: 99%