Stochastic response of a fractional vibroimpact system

Antonina Pirrotta, Mario Di Paola, Daniil Yurchenko, Andrea Burlon, Antonina Pirrotta, Giuseppe Failla, Giuseppe Failla

Risultato della ricerca: Article


The paper proposes a method to investigate the stochastic dynamics of a vibroimpact single-degree-of-freedom fractional system under a Gaussian white noise input. It is assumed that the system has a hard type impact against a one-sided motionless barrier, which is located at the system's equilibrium position; furthermore, the system under study is endowed with an element modeled with fractional derivative. The proposed method is based on stochastic averaging technique and overcome the particular difficulty due to the presence of fractional derivative of an absolute value function; particularly an analytical expression for the system's mean squared response amplitude is presented and compared with results obtained by numerical simulations.
Lingua originaleEnglish
pagine (da-a)1086-1091
Numero di pagine6
RivistaProcedia Engineering
Stato di pubblicazionePublished - 2017


All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cita questo

Pirrotta, A., Di Paola, M., Yurchenko, D., Burlon, A., Pirrotta, A., Failla, G., & Failla, G. (2017). Stochastic response of a fractional vibroimpact system. Procedia Engineering, 199, 1086-1091.