Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

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

doi:10.1115/1.4036701

Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

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

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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 results of numerical simulations.

Original language	English
Article number	030903
Journal	Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume	3
Issue number	3
Early online date	12 Jun 2017
DOIs	https://doi.org/10.1115/1.4036701
Publication status	Published - Sept 2017

Keywords

Dynamics
Stochastic systems
white noise
risk
fractional damping
Computer simulation

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10.1115/1.4036701

Cite this

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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 results of numerical simulations.",

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author = "Daniil Yurchenko and Andrea Burlon and {Di Paola}, Mario and Giuseppe Failla and Antonina Pirrotta",

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AU - Yurchenko, Daniil

AU - Burlon, Andrea

AU - Di Paola, Mario

AU - Failla, Giuseppe

AU - Pirrotta, Antonina

PY - 2017/9

Y1 - 2017/9

N2 - 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 results of numerical simulations.

AB - 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 results of numerical simulations.

KW - Dynamics

KW - Stochastic systems

KW - white noise

KW - risk

KW - fractional damping

KW - Computer simulation

U2 - 10.1115/1.4036701

DO - 10.1115/1.4036701

M3 - Article

SN - 2332-9017

VL - 3

JO - Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

JF - Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

IS - 3

M1 - 030903

ER -

Approximate analytical mean-square response of an impacting stochastic system oscillator with fractional damping

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Keywords

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