期刊
NONLINEAR DYNAMICS
卷 50, 期 1-2, 页码 93-109出版社
SPRINGER
DOI: 10.1007/s11071-006-9145-6
关键词
asymmetric solutions; coexisting solutions; coulomb friction; marginal stability; normal form transformation
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 Omega = 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.
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