Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System

DOI10.1142/S0218127415500029zbMath1309.70009OpenAlexW1970506745MaRDI QIDQ5246667

Jianzhe Huang, Albert C. J. Luo

Publication date: 22 April 2015

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

Full work available at URL: https://doi.org/10.1142/s0218127415500029

zbMATH Keywords

generalized harmonic balance methodstability and bifurcationanalytical bifurcation treesperiod-\(m\) motionsnonlinear Jeffcott rotor systems

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Motion of a rigid body with a fixed point (70E17)

Related Items (8)

Numerical scheme for period-\(m\) motion of second-order nonlinear dynamical systems based on generalized harmonic balance method ⋮ Strange dynamic behavior induced by time delay for a Rijke tube system with periodic excitation ⋮ Nonlinear dynamics of marine rotor-bearing system coupled with vibration isolation structure subject to ship rolling motion ⋮ Coupling dynamic behavior of aero-engine rotor system caused by rolling, pitching and yawing maneuver loads ⋮ Period-1 Motion to Chaos in a Nonlinear Flexible Rotor System ⋮ Bifurcation Trees of Period-1 Motions to Chaos in a Two-Degree-of-Freedom, Nonlinear Oscillator ⋮ Buckling and vibration of a long shaft rotor system with a stabilized bearing ⋮ Periodic motions to chaos in a nonlinear rotor system

Cites Work

• Asymptotic expansions in nonlinear rotordynamics
• Mode-Locking and Chaos in a Jeffcott Rotor With Bearing Clearances
• ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
• Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential
• Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficients

This page was built for publication: Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System