Order reduction and nonlinear behaviors of a continuous rotor system

DOI10.1007/s11071-011-9975-8zbMath1355.74044OpenAlexW2138484896MaRDI QIDQ437174

Qian Ding, Kunpeng Zhang

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-9975-8

zbMATH Keywords

bifurcationnonlinear Galerkin methodnonlinear vibrationmulti-periodic motionstandard Galerkin method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (1)

Numerical and experimental analysis of the first-and second-mode instability in a rotor-bearing system

Cites Work

• Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load
• Nonlinear vibration of variable speed rotating viscoelastic beams
• Nonlinear dynamics of a rotor-bearing-seal system
• On the methods to derive frequency equations of beams carrying multiple masses
• Dimension reduction of dynamical systems: methods, models, applications
• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• Modeling of Nonlinear Oil-Film Force Acting on a Journal with Unsteady Motion and Nonlinear Instability Analysis under the Model
• Nonlinear Galerkin Methods
• Methods for dimension reduction and their application in nonlinear dynamics

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