Subharmonic Response of a Single-Degree-of-Freedom Linear Vibroimpact System to a Narrow-Band Random Excitation

RONG Hai-wu; WANG Xiang-dong; LUO Qi-zhi; XU Wei; FANG Tong

doi:10.3879/j.issn.1000-0887.2011.09.007

Volume 32 Issue 9

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RONG Hai-wu, WANG Xiang-dong, LUO Qi-zhi, XU Wei, FANG Tong. Subharmonic Response of a Single-Degree-of-Freedom Linear Vibroimpact System to a Narrow-Band Random Excitation[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1084-1091. doi: 10.3879/j.issn.1000-0887.2011.09.007

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Subharmonic Response of a Single-Degree-of-Freedom Linear Vibroimpact System to a Narrow-Band Random Excitation

doi: 10.3879/j.issn.1000-0887.2011.09.007

Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;

Received Date: 2010-11-12
Rev Recd Date: 2011-06-16
Publish Date: 2011-09-15

Abstract

Abstract

The subharmonic response of single-degree-of-freedom linear vibroimpact oscillator with a onesided barrier to narrow-band random excitation was investigated.The analysis was based on a special Zhuravlev transformation,which reduces the system to one without impacts,or velocity jumps,thereby permitting the applications of asymptotic averaging over the period for slowly varying inphase and quadrature responses.The averaged stochastic equations were solved exactly by the method of moments for the mean square response amplitude for the case of zero offset.A perturbation-based moment closure scheme was proposed for the case of nonzero offset.The effects of damping,detuning,bandwidth and magnitudes of random excitations were analyzed.The theoretical analyses were verified by numerical results.Theoretical analyses and numerical simulations show that the peak amplitudes may be strongly reduced at large detunings.
- single-degree-of-freedom linear vibroimpact system,
- subharmonic responses,
- Zhuravlev transformation method,
- random averaging method

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References(23)

References

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