Sub-harmonic resonant solutions of a harmonically excited dry friction oscillator View Full Text


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Article Info

DATE

2006-11-08

AUTHORS

G. Csernák, G. Stépán, S. W. Shaw

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. More... »

PAGES

93

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-006-9145-6

DOI

http://dx.doi.org/10.1007/s11071-006-9145-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1017925871


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