A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems

DOI10.1016/j.euromechsol.2011.03.002zbMath1278.70017OpenAlexW2079001474MaRDI QIDQ388313

Sébastien Berger, Lyes Nechak, Evelyne Aubry

Publication date: 19 December 2013

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2011.03.002

zbMATH Keywords

stabilityLyapunov functionrobustnesslimit cyclepolynomial chaosuncertainty propagationSOS programmingdry friction systemsnon-linear dynamic systems

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Problems involving a system of particles with friction (70F40)

Related Items (6)

A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system ⋮ Stochastic study of a non-linear self-excited system with friction ⋮ Model order reduction of random parameter-dependent linear systems ⋮ Prediction of the dynamic behavior of an uncertain friction system coupled to nonlinear energy sinks using a multi-element generalized polynomial chaos approach ⋮ Error Estimation of Polynomial Chaos Approximations in Transient Structural Dynamics ⋮ Robust optimization of nonlinear energy sinks used for mitigation of friction-induced limit cycle oscillations

Uses Software

• Sostools

Cites Work

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