Multi-scale analysis of a multiple-degree of freedom system with Coulomb-friction under kinematic excitation
Referat wygłoszony
| Status: | |
| Autorzy: | Litak Grzegorz |
| Rok wydania: | 2011 |
| Język: | angielski |
| Źródło: | 82ND ANNUAL SCIENTIFIC CONFERENCE OF THE INTERNATIONAL ASSOCIATION OF APPLIED MATHEMATICS AND MECHANICS, APRIL 18-21, 2011, GRAZ, AUSTRIA : BOOK OF ABSTRACTS |
| Państwo wystąpienia: | POLSKA |
| Efekt badań statutowych | NIE |
| Abstrakty: | angielski |
| In previous studies [1,2] the authors derived analytical expressions for the macroscopical coefficient of friction in single degree of freedom systems with coulomb friction subjected to high freąuency kinematic excitations. Using fast and slow scales to decouple the dynamics, an effective damping coefficient was derived as a function of the macroscopical velocity. In the present paper, we examine vibrations of a multiple-degree of freedom oscillator subjected to kinematic excitations in a high freąuency limit. Using again the fast and slow scales decoupling procedurę we derive an effective damiamping coefficient in the form of a nonlinear, but smooth, function of velocity. The effective natural freąuencies of the examined system were renormalized so that the results can easily be applied to a wide rangę of systems. The analytic results were confirmed by numerical results. |
