CHAOS CAUSED BY HYSTERESIS AND SATURATION PHENOMENON IN 2-DOF VIBRATIONS OF THE ROTOR SUPPORTED BY THE MAGNETO-HYDRODYNAMIC BEARING

DOI10.1142/S0218127411030155zbMath1270.34116MaRDI QIDQ2843684

L. P. Dzyubak, Jan Awrejcewicz

Publication date: 23 August 2013

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

zbMATH Keywords

rotorhysteresischaosparametric spacesmagneto-hydrodynamic bearing

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Magnetohydrodynamics and electrohydrodynamics (76W05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Parametric resonances for nonlinear problems in mechanics (70K28) Nonlinear resonances for nonlinear problems in mechanics (70K30) Hysteresis for ordinary differential equations (34C55)

Related Items (3)

Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system ⋮ Nonlinear dynamics of the six-pole rotor-AMB system under two different control configurations ⋮ Multi-parametric evolution of conditions leading to cancer invasion in biological systems

Cites Work

• Unnamed Item
• Lubricated revolute joints in rigid multibody systems
• Nonlinear analysis of a rub-impact rotor supported by turbulent couple stress fluid film journal bearings under quadratic damping
• Hysteresis modelling and chaos prediction in one- and two-DOF hysteretic models
• Analytical bifurcation analysis of a rotor supported by floating ring bearings
• Oil whirl, oil whip and whirl/whip synchronization occurring in rotor systems with full-floating ring bearings
• Analytical study of nonlinear synchronous full annular rub motion of flexible rotor-stator system and its dynamic stability
• Nonlinear resonances and self-excited oscillations of a rotor caused by radial clearance and collision
• Resonant dynamics in a rotordynamic system with nonlinear inertial coupling and shaft anisotropy
• Periodic and chaotic motions of a rotor-active magnetic bearing with quadratic and cubic terms and time-varying stiffness
• Estimation of chaotic and regular (stick-slip and slip-slip) oscillations exhibited by coupled oscillators with dry friction
• BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS
• Bifurcation Theory Applied to Oil Whirl in Plain Cylindrical Journal Bearings
• Mathematical Models for Hysteresis

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