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Nonlinear forced vibration analysis of spinning shaft‐disk assemblies under sliding bearing supports

Tianyu Zhao, Yu Xuan Wang, Hong Gang Pan, Hui Yuan, Yi Cai

2021Mathematical Methods in the Applied Sciences17 citationsDOI

Abstract

This paper presents an investigation on nonlinear forced vibration characteristics of a spinning shaft‐disk assembly resting on sliding bearing supports. Based on the Timoshenko beam theory and Kirchhoff plate theory, the coupled model of the rotor is established. The present model is validated through comparison with the experiment results for different structure parameters. Considering the gyroscopic effect and nonlinear oil film force, the equations of motion are derived by employing the Lagrange equation. Then, the modal synthesis method and the Runge‐Kutta method are adopted to obtain forced vibration responses of the spinning assembly. Special attention is paid to examine the effect of spinning speed on the nonlinear vibration behaviors of the shaft‐disk rotor system, which can play an especially important role in an actual project.

Topics & Concepts

VibrationSpinningNonlinear systemBearing (navigation)Timoshenko beam theoryRotor (electric)Modal analysisEquations of motionMechanicsModalStructural engineeringMathematicsClassical mechanicsControl theory (sociology)PhysicsEngineeringMaterials scienceMechanical engineeringComputer scienceAcousticsArtificial intelligenceControl (management)AstronomyQuantum mechanicsPolymer chemistryMagnetic Bearings and Levitation DynamicsVibration and Dynamic AnalysisTribology and Lubrication Engineering
Nonlinear forced vibration analysis of spinning shaft‐disk assemblies under sliding bearing supports | Litcius