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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