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Article Dans Une Revue International Journal of Pure and Applied Mathematics Année : 2008

Interval approach applied to blades of windscreens wiper

Résumé

Friction-induced vibration due to mode coupling is a major concern in a wide variety of mechani cal systems. Stability analysis and the associated non-linear amplitudes around a steady-state equilibrium point actually are two of the most important points in the study of non-linear dynamical systems de­ pending on given control parameters. Determining stable and unstable regions is only one aspect of the problem of friction-induced ftutter instability. The instability magni tude is a more significant design factor than the instability region. In this paper, we propose to apply interval analysis to obtain the ma.ximum and minimum amplitudes of a complete non-linear mechanical system. This approach allows us to avoid numerical procedures that are both time and cast consuming to perform when parametric design studies are needed.
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hal-00904419 , version 1 (05-07-2021)

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  • HAL Id : hal-00904419 , version 1

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Pascal Ragot, Sébastien Berger, Jean-Jacques Sinou, Evelyne Aubry. Interval approach applied to blades of windscreens wiper. International Journal of Pure and Applied Mathematics, 2008, 46 (5), pp.643-648. ⟨hal-00904419⟩
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