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.

Yurchenko, D., Burlon, A., Di Paola, M., Failla, G., & Pirrotta, A. (2017). Stochastic response of a fractional vibroimpact system. PROCEDIA ENGINEERING, 199, 1086-1091 [10.1016/j.proeng.2017.09.081].

Stochastic response of a fractional vibroimpact system

Di Paola, Mario;Failla, Giuseppe;Pirrotta, Antonina
2017

Abstract

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.
Settore ICAR/08 - Scienza Delle Costruzioni
https://www.sciencedirect.com/science/article/pii/S1877705817335178
Yurchenko, D., Burlon, A., Di Paola, M., Failla, G., & Pirrotta, A. (2017). Stochastic response of a fractional vibroimpact system. PROCEDIA ENGINEERING, 199, 1086-1091 [10.1016/j.proeng.2017.09.081].
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S1877705817335178-main.pdf

accesso aperto

Dimensione 337.1 kB
Formato Adobe PDF
337.1 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/259303
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact