6533b824fe1ef96bd1280a08

RESEARCH PRODUCT

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

Andrea BurlonDaniil YurchenkoAntonina PirrottaAntonina PirrottaM. Di PaolaGiuseppe Failla

subject

PhysicsMean squareMechanical EngineeringDynamics (mechanics)Degrees of freedom (physics and chemistry)White noise01 natural sciences010305 fluids & plasmasClassical mechanics0103 physical sciencesStatistical physicsSafety Risk Reliability and Quality010301 acousticsSafety Research

description

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.

10.1115/1.4036701http://hdl.handle.net/10447/294098