dorsal/arxiv
View SchemaResponse of an impacting hertzian contact to an order-2 subharmonic excitation : theory and experiments
| Authors | Joël Perret-Liaudet, Emmanuel Rigaud |
|---|---|
| Categories | |
| ArXiv ID | physics/0701066 |
| URL | https://arxiv.org/abs/physics/0701066 |
| DOI | 10.1016/j.jsv.2006.03.004 |
| Journal | Journal of Sound and Vibration 296 (2006) 319-333 |
Abstract
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.
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"abstract": "Response of a normally excited preloaded Hertzian contact is investigated in\norder to analyze the subharmonic resonance of order 2. The nonlinearity\nassociated with contact losses is included. The method of multiple scales is\nused to obtain the non-trivial steady state solutions, their stability, and the\nfrequency-response curves. To this end, a third order Taylor series of the\nelastic Hertzian contact force is introduced over the displacement interval\nwhere the system remains in contact. A classical time integration method is\nalso used in conjunction with a shooting method to take into account losses of\ncontact. The theoretical results show that the subharmonic resonance\nconstitutes a precursor of dynamic responses characterised by loss of contact,\nand consequently, the resonance establishes over a wide frequency range.\nFinally, experimental validations are also presented in this paper. To this\nend, a specific test rig is used. It corresponds to a double sphere-plane\ncontact preloaded by the weight of a moving mass. Experimental results show\ngood agreements with theoretical ones.",
"arxiv_id": "physics/0701066",
"authors": [
"Jo\u00ebl Perret-Liaudet",
"Emmanuel Rigaud"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1016/j.jsv.2006.03.004",
"journal_ref": "Journal of Sound and Vibration 296 (2006) 319-333",
"title": "Response of an impacting hertzian contact to an order-2 subharmonic excitation : theory and experiments",
"url": "https://arxiv.org/abs/physics/0701066"
},
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