Stick/slip phenomena in dynamics: Choice of contact model. Numerical predictions &amp; experiments

Châtelet, Éric; Michon, Guilhem; Manin, Lionel; Jacquet, Georges

doi:10.1016/j.mechmachtheory.2007.11.001

Cited by 32 publications

(16 citation statements)

References 22 publications

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“…From these results, it can be seen that the system stiffness and damping reduced as the dynamic amplitude increased. This softening behaviour for a friction system is in line with observations made by others [6,16]. Table 3: Natural frequency parameters at PK-PK displacement amplitudes of 0.5 mm, 1.0 mm and 2.0 mm…”

Section: Dynamic Experimentssupporting

confidence: 90%

“…This is because the friction force, which acts in the opposite direction to the motion, is constant in magnitude irrespective of the motion amplitude. Where the contribution of dry friction to the overall damping levels is significant, the loss factor is therefore dependent on the vibration amplitude as is the effective stiffness and hence the resonance frequency [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic properties of unbonded, multi-strand beams subjected to flexural loading

Asker

Rongong

Lord

2018

Mechanical Systems and Signal Processing

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Beam-like structures, constructed from many long strands that are constrained rather than bonded together, can provide appreciable levels of structural damping through friction between individual strands. This paper describes experimental and numerical studies, carried out on square-section metal beams, which are aimed at improving understanding of the relationship between construction and performance. A beam is formed from a pack of squaresection strands that is held together at various compression loads with pre-calibrated clamps. Flexural deformation of the assembled beam is simulated using standard finite element analysis employing simple Coulomb friction at the interfaces. The validity of the assumptions used in the models is confirmed by comparison with three point bend tests on a regular nine strand construction at several different clamp loads. Dynamic loss factors for this beam are obtained by conducting forced vibration tests, which show that the damping is insensitive to frequency. Subsequent numerical studies are used to investigate the effects of increasing the number of strands whilst maintaining the overall cross-section geometry of the beam. It is found that the system stiffness drops and loss factor increases when more strands are used for a maintained beam cross-section. Interestingly, the energy dissipated by each beam construction is almost the same. These results provide a vital and necessary insight into the physics for stranded structures and materials that are largely prevalent in mechanical (e.g. cables) and electrical (e.g. wires) elements.

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Section: Dynamic Experimentssupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Dynamic properties of unbonded, multi-strand beams subjected to flexural loading

Asker

Rongong

Lord

2018

Mechanical Systems and Signal Processing

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“…Part of the contact surface may be stuck while another part may slip at the same time. Taking into account the most adapted model, a good agreement can be obtained between numerical and experimental results, as shown for example in [8][9][10].…”

Section: Introductionmentioning

confidence: 70%

Dissipated energy and boundary condition effects associated to dry friction on the dynamics of vibrating structures

Sayed

Châtelet

Baguet

et al. 2011

Mechanism and Machine Theory

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In turbomachines, dry friction devices (under platform dampers, shrouds, and tie-wire) are usually introduced to reduce resonant responses of bladed disks. Dry friction between rubbing elements induces a highly nonlinear dynamic behaviour which flattens the frequency response functions. It is clear that such behaviour requires an optimisation process to find the optimum parameters that lead to the minimum forced response amplitudes. However, different interpretations still remain concerning the explanation of the physical origin of this type of flattening. The most common one is based on dissipated energy. In this case, heat resulting from the relative frictional motion between contacting surfaces is supposed to bring sufficient dissipation to flatten response functions. On the other hand, a different approach considers that a decrease in vibrational amplitudes is explained by changes in boundary conditions induced by a stick/slip behaviour. In this study, a single degree-of-freedom system is used and analysed both in time and in frequency domains (Harmonic Balance Method) in order to show the contribution of respectively energy dissipation and change of contact state on peak levels.

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“…In the existing methods, an approximation value of equivalent viscous damping is used for estimating the oscillation response of tensioner arm. [11][12][13][14][15][16][17] Besides, a measured result from the oscillation of tensioner arm in Figure 18. Chart for calculating the vibration responses of tensioner.…”

Section: Solutions Of Vibration Responses For Tensionermentioning

confidence: 99%

Methods for estimating hysteretic behavior and vibration responses of a timing belt tensioner

Long

Yin

Zhao

et al. 2019

Advances in Mechanical Engineering

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An automatic tensioner that consists of a torsional spring and friction damping elements is widely used in belt drive system. The relation of the applied torque versus the imposed angle of tensioner during loading and unloading processes is described as a hysteretic loop. An analytical model is established for estimating the hysteretic behavior of a tensioner, and measurements for hysteretic loop in quasi-static and dynamic excitation are carried out to validate the analytical model. Taking one engine timing belt drive system as a studying example, the method and the procedure for estimating vibration responses of the nonlinear tensioner are given. An iterative algorithm for predicting the accurate equivalent viscous damping of tensioner is carried out in analyzing a belt drive system. The vibration responses of tensioner are validated by the measurement of timing belt drive system. The developed method presented in this article is useful for predicting the hysteretic behavior of tensioner, vibration responses, and the parameters optimization of a belt drive system.

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Stick/slip phenomena in dynamics: Choice of contact model. Numerical predictions & experiments

Cited by 32 publications

References 22 publications

Dynamic properties of unbonded, multi-strand beams subjected to flexural loading

Dynamic properties of unbonded, multi-strand beams subjected to flexural loading

Dissipated energy and boundary condition effects associated to dry friction on the dynamics of vibrating structures

Methods for estimating hysteretic behavior and vibration responses of a timing belt tensioner

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