Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Version 1 : Received: 18 September 2023 / Approved: 19 September 2023 / Online: 20 September 2023 (03:13:14 CEST)

A peer-reviewed article of this Preprint also exists.

Kydyrbekuly, A.; Zhauyt, A.; Ibrayev, G.-G.A. Parametric Analysis of Nonlinear Oscillations of the “Rotor–Weakly Conductive Viscous Fluid–Foundation” System under the Action of a Magnetic Field. Appl. Sci. 2023, 13, 12089. Kydyrbekuly, A.; Zhauyt, A.; Ibrayev, G.-G.A. Parametric Analysis of Nonlinear Oscillations of the “Rotor–Weakly Conductive Viscous Fluid–Foundation” System under the Action of a Magnetic Field. Appl. Sci. 2023, 13, 12089.

Abstract

The generalized dynamic model of the rotor system, presented in the paper, is the first model that takes into account the interconnected oscillations of the “rotor - weakly conductive fluid – foundation” system under the action of such parameters as fluid and rotor motion, linear eccentricity, friction forces, foundation vibration and nonlinear characteristics of rolling bearings, as well as the action of a magnetic field on the fluid. Consistent equations of motion for the system “rotor - weakly conductive fluid – foundation” were derived and solved analytically. Forced and natural oscillations of the system were analyzed, and the distinctive features of the rotor system dynamics were revealed. The values of frequencies and amplitudes, which are one of the main factors determining the dynamic behavior of the system, were obtained and studied.

Keywords

rotor; moving foundation; nonlinear oscillations; critical frequency; natural oscillations; weakly conductive liquid; magnetic and electrohydrodynamics.

Subject

Engineering, Mechanical Engineering

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