A discrete model of a stochastic friction system.

DOI10.1016/S0045-7825(03)00241-XzbMath1040.70013OpenAlexW2066563623MaRDI QIDQ1418246

D. Massart

Publication date: 19 January 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00241-x

zbMATH Keywords

external noiseaverage modelnon-smooth systemrandom chaosrandom stick-slip motiontwo-dimensional mean Poincaré map

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Problems involving a system of particles with friction (70F40) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (7)

Stochastic stationary responses of a viscoelastic system with impacts under additive Gaussian white noise excitation ⋮ An isogeometric analysis based method for frictional elastic contact problems with randomly rough surfaces ⋮ Stationary responses of a Rayleigh viscoelastic system with zero barrier impacts under external random excitation ⋮ Stochastic responses of a viscoelastic-impact system under additive and multiplicative random excitations ⋮ Research on the reliability of friction system under combined additive and multiplicative random excitations ⋮ A probabilistic theory of random maps ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Phase-space reconstructions and stick-slip
• Chaos in a noisy mechanical system with stress relaxation
• Stick-slip vibrations and chaos
• Stability of Friction-Induced Vibrations in Multi-Degree-of-Freedom Systems
• Simple mathematical models with very complicated dynamics
• Dynamical behaviour of a friction oscillator with simultaneous self and external excitation.

This page was built for publication: A discrete model of a stochastic friction system.