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- Title
Subharmonic response of single-degree-of-freedom linear vibroimpact system to narrow-band random excitation.
- Authors
Rong, Hai-wu; Wang, Xiang-dong; Luo, Qi-zhi; Xu, Wei; Fang, Tong
- Abstract
The subharmonic response of a single-degree-of-freedom linear vibroimpact oscillator with a one-sided barrier to the narrow-band random excitation is investigated. The analysis is based on a special Zhuravlev transformation, which reduces the system to the one without impacts or velocity jumps, and thereby permits the applications of asymptotic averaging over the period for slowly varying the inphase and quadrature responses. The averaged stochastic equations are exactly solved by the method of moments for the mean square response amplitude for the case of zero offset. A perturbation-based moment closure scheme is proposed for the case of nonzero offset. The effects of damping, detuning, and bandwidth and magnitudes of the random excitations are analyzed. The theoretical analyses are verified by the numerical results. The theoretical analyses and numerical simulations show that the peak amplitudes can be strongly reduced at the large detunings.
- Subjects
SUBHARMONIC functions; DEGREES of freedom; HARMONIC oscillators; MATHEMATICAL transformations; PERTURBATION theory; SIMULATION methods &; models; NUMERICAL solutions to stochastic differential equations
- Publication
Applied Mathematics & Mechanics, 2011, Vol 32, Issue 9, p1159
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-011-1489-x