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Sub-harmonic resonant solutions of a harmonically excited dry friction oscillator
| Content Provider | Semantic Scholar |
|---|---|
| Author | Csernák, Gábor Stépán, Gábor Shaw, Steven W. |
| Copyright Year | 2006 |
| Abstract | Special sub-harmonic solutions of a harmonically forced dry-friction oscillator are analysed. Although the typical non-sticking solutions are stable and symmetric, a continuum of possible asymmetric, marginally stable solutions exist at excitation frequencies Ω = 1/2n. We determine the explicit form of the one-parameter family of these solutions, and give the conditions under which our formulae are valid. The stability of the solutions is examined in the third-order approximation. Finally, our analytical results are checked by numerical simulations. |
| Starting Page | 93 |
| Ending Page | 109 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11071-006-9145-6 |
| Alternate Webpage(s) | http://www.mm.bme.hu/~stepan/mm/journal2007/csernak_stepan_shaw_nonldyn.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s11071-006-9145-6 |
| Volume Number | 50 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
