Response of an impacting hertzian contact to an order-2 subharmonic excitation : theory and experiments - Archive ouverte HAL
Article Dans Une Revue Journal of Sound and Vibration Année : 2006

Response of an impacting hertzian contact to an order-2 subharmonic excitation : theory and experiments

Résumé

Response of a normally excited preloaded Hertzian contact is investigated in order to analyze the subharmonic resonance of order 2. The nonlinearity associated with contact losses is included. The method of multiple scales is used to obtain the non-trivial steady state solutions, their stability, and the frequency-response curves. To this end, a third order Taylor series of the elastic Hertzian contact force is introduced over the displacement interval where the system remains in contact. A classical time integration method is also used in conjunction with a shooting method to take into account losses of contact. The theoretical results show that the subharmonic resonance constitutes a precursor of dynamic responses characterised by loss of contact, and consequently, the resonance establishes over a wide frequency range. Finally, experimental validations are also presented in this paper. To this end, a specific test rig is used. It corresponds to a double sphere-plane contact preloaded by the weight of a moving mass. Experimental results show good agreements with theoretical ones.
Fichier principal
Vignette du fichier
2006PERRETLIAUDET_HertzianContactOrder2SubharmonicExcitation.pdf (872.67 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-00122673 , version 1 (05-01-2007)

Identifiants

Citer

Joël Perret-Liaudet, Emmanuel Rigaud. Response of an impacting hertzian contact to an order-2 subharmonic excitation : theory and experiments. Journal of Sound and Vibration, 2006, 296, pp.319-333. ⟨10.1016/j.jsv.2006.03.004⟩. ⟨hal-00122673⟩
108 Consultations
237 Téléchargements

Altmetric

Partager

More