Regular and chaotic dynamics of a discontinuously nonlinear rotor system.

DOI10.1016/S0960-0779(01)00126-6zbMath1074.70565OpenAlexW2034936729WikidataQ127065603 ScholiaQ127065603MaRDI QIDQ1609972

Evgueni V. Karpenko, Marian Wiercigroch, Matthew P. Cartmell

Publication date: 20 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00126-6

zbMATH Keywords

bifurcationPoincaré mapsbearing clearance

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (16)

Investigation of an unbalanced rotor system with bearing clearance and stabilising rods ⋮ Dynamics of a nearly symmetrical piecewise linear oscillator close to grazing incidence: Modelling and experimental verification ⋮ Global dynamics of a flexible asymmetrical rotor ⋮ Micro-rotor dynamics for micro-electro-mechanical systems (MEMS) ⋮ Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations ⋮ Multi-pulse chaotic dynamics of an unbalanced Jeffcott rotor with gravity effect ⋮ The nonlinear dynamics analysis of stochastic delay Jeffcott rotor-seal system with the elastic support ⋮ Bifurcation analysis of a preloaded Jeffcott rotor. ⋮ Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators ⋮ Numerical investigation of an unbalanced rotor system with bearing clearance ⋮ Nonlinear vibration analysis of a spinning shaft with multi-disks ⋮ Nonlinear dynamics and chaos of a nonsmooth rotor-stator system ⋮ Transitions to chaos in squeeze-film dampers ⋮ Effects of bearing clearance on the chatter stability of milling process ⋮ Bifurcation analysis of periodic orbits of a non-smooth Jeffcott rotor model ⋮ Determination of the global response characteristics of a piecewise smooth dynamical system with contact

Uses Software

• Dynamics

Cites Work

• Unnamed Item
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• Bifurcation analysis of harmonically excited linear oscillator with clearance
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• Periodic, quasi-periodic and chaotic vibrations of a rub-impact rotor system supported on oil film bearings
• Transition to chaotic motion in mechanical systems with impacts
• Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
• Bifurcation sequences in the interaction of resonances in a model deriving from nonlinear rotordynamics: The zipper
• A periodically forced piecewise linear oscillator

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