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.
Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping / Yurchenko, Daniil; Burlon, Andrea; DI PAOLA, Mario; Failla, Giuseppe; Pirrotta, Antonina. - In: ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS. PART B. MECHANICAL ENGINEERING. - ISSN 2332-9017. - 3:3(2017), p. 030903.030903. [10.1115/1.4036701]
Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping
BURLON ANDREA
;FAILLA GIUSEPPE;
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
