Bifurcation analysis of a preloaded Jeffcott rotor.

DOI10.1016/S0960-0779(02)00107-8zbMath1098.70531MaRDI QIDQ1419128

Evgueni V. Karpenko, Marian Wiercigroch, Ekatarina E. Pavlovskaia

Publication date: 14 January 2004

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

zbMATH Keywords

stabilityLyapunov exponents

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (11)

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 ⋮ Influences of time-delays on the performance of a controller based on the saturation phenomenon ⋮ Micro-rotor dynamics for micro-electro-mechanical systems (MEMS) ⋮ Investigation of a saddle node bifurcation due to loss of contact in preloaded spherical roller thrust bearings ⋮ Bifurcations and chaos in two-coupled periodically driven four-well Duffing-van der Pol oscillators ⋮ 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 dynamics and chaos of a nonsmooth rotor-stator system ⋮ An Investigation into the Physics Behind the Stabilizing Effects of Two-Phase Lubricants in Journal Bearings ⋮ An Investigation into the Physics Behind the Stabilizing Effects of Two-Phase Lubricants in Journal Bearings

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• On a possible approximation of discontinuous dynamical systems.
• Regular and chaotic dynamics of a discontinuously nonlinear rotor system.
• Piecewise approximate analytical solutions for a Jeffcott rotor with a snubber ring
• Active vibration control of a flexible rotor

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