Period-1 Motion to Chaos in a Nonlinear Flexible Rotor System

DOI10.1142/S0218127420500777zbMath1473.70058OpenAlexW3022213667MaRDI QIDQ5114589

Zhaobo Chen, Yeyin Xu, Albert C. J. Luo

Publication date: 24 June 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500777

zbMATH Keywords

bifurcation tree to chaosimplicit mapping methodnonlinear frequency-amplitudenonlinear rotor system

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Bifurcations of singular points in dynamical systems (37G10)

Related Items (4)

Numerical and experimental study of the preload induced period-1 and chaotic vibration of a rotor system considering contact effects ⋮ Nonlinear dynamics of marine rotor-bearing system coupled with vibration isolation structure subject to ship rolling motion ⋮ Analytical and Experimental Study of the Nonlinear Potentials in a Hindmarsh–Rose Neuron System ⋮ Semi-analytical predictions of multi-stable independent periodic motions and bifurcation evolution in a nonlinear bolted rotor system

Cites Work

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• Nonlinear resonances and self-excited oscillations of a rotor caused by radial clearance and collision
• Discretization and implicit mapping dynamics
• Nonlinear normal modes and primary resonance of horizontally supported Jeffcott rotor
• A Semi-analytical Prediction of Periodic Motions in Duffing Oscillator through Mapping Structures
• Asymptotic expansions in nonlinear rotordynamics
• Theoretical discussions on vibrations of a rotating shaft with nonlinear spring characteristics
• Analytical Routes to Chaos in Nonlinear Engineering
• Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System
• Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
• Shaft Whirl Induced by Rotor Internal Damping
• Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients

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