The paper deals with the stochastic dynamics of a vibroimpact single-degree-of-freedom system under a Gaussian white noise. The system is assumed to have a hard type impact against a one-sided motionless barrier, located at the system's equilibrium. The system is endowed with a fractional derivative element. An analytical expression for the system's mean squared response amplitude is presented and compared with the results of numerical simulations.
Yurchenko, D., Burlon, A., Di Paola, M., Failla, G., Pirrotta, A. (2017). Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping. ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS. PART B. MECHANICAL ENGINEERING, 3(3), 030903 [10.1115/1.4036701].
Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping
Di Paola, M.;Failla, G.;Pirrotta, A.
2017-01-01
Abstract
The paper deals with the stochastic dynamics of a vibroimpact single-degree-of-freedom system under a Gaussian white noise. The system is assumed to have a hard type impact against a one-sided motionless barrier, located at the system's equilibrium. The system is endowed with a fractional derivative element. An analytical expression for the system's mean squared response amplitude is presented and compared with the results of numerical simulations.
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