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Conference Papers Year : 2011

Friction noise model for two beams in contact

Bernard Laulagnet


Instabilities generated by friction are responsible for many noises in real life, such as squealing, squeak or juddering. The challenge to model this strongly non-linear acoustic radiation problem depends on the possibility to predict the interacting contact forces with accuracy, since they entirely govern the sound radiation and the way this sound is perceived as, squeak, squeal or juddering. A first approach to tackle this problem consists in linearising it and to calculate a solution around a sliding equilibrium. The main advantage is the simplicity of this approach which consists in calculating the perturbed solution which will exhibit, if the system is unstable, complex solutions. We only have the possibility to detect instabilities, but we are in the impossibility to describe what appends during the instability and for example separating juddering from squealing. A second approach consists in finding the entire solution solving the problem in time. This second approach is used here, in the case of two interacting beams; one is pushed on the other at rest, by external constant forces or driven at constant velocity. The equations of movement of the two beams are solved explicitly in time. A Coulomb friction law is introduced in the equations of the contact point taking into account all the possible status: separated, sliding or sticking. Solutions for the contact force, contact point trajectories and acceleration contact point are calculated at each instant of time for durations of one or two seconds, allowing acoustic radiation simulations. We show how different events appear depending on the beam relative angle, friction coefficient, and how instability occurs leading to limit cycles appearance.
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hal-00609457 , version 1 (19-07-2011)


  • HAL Id : hal-00609457 , version 1


Bernard Laulagnet. Friction noise model for two beams in contact. 18th International Congress on Sound & Vibration, Jul 2011, Rio de Janeiro, Brazil. page 124. ⟨hal-00609457⟩
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