This research investigates the dynamic analysis of a single-rotor shaft system with nonlinear elastic bearings at the ends mounted on viscoelastic suspension. Timoshenko shaft model is utilized to incorporate the flexibility of the shaft; the rotor is considered to be rigid and located at the mid-span of the shaft. A nonlinear bearing pedestal model is assumed which has a cubic nonlinear spring and linear damping characteristics. The viscoelastic supports are modeled using Kelvin-Voigt model. Free and forced vibration is investigated based on the direct multiple scales method of one-to-one frequency-to-amplitude relationship using third order perturbation expansion. The results of the nonlinear analysis show that a limiting value of the internal damping coefficient of the shaft exists where the trend of the frequency-response curve switches. Also, the primary resonance peak shifts to higher frequencies with the increase of the bearing nonlinear elastic characteristics, but with a flattened curve and hence lower peak values. A jump phenomenon takes place for high values of the bearing nonlinear elastic characteristics.
Skip Nav Destination
Article navigation
July 2003
Technical Papers
Nonlinear Dynamic Analysis of a Rotor Shaft System With Viscoelastically Supported Bearings
Nabeel Shabaneh, Graduate Student,
Nabeel Shabaneh, Graduate Student
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Search for other works by this author on:
Jean W. Zu, Associate Professor
Jean W. Zu, Associate Professor
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Search for other works by this author on:
Nabeel Shabaneh, Graduate Student
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Jean W. Zu, Associate Professor
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 2002; Revised October 2002. Associate Editor: G. T. Flowers.
J. Vib. Acoust. Jul 2003, 125(3): 290-298 (9 pages)
Published Online: June 18, 2003
Article history
Received:
February 1, 2002
Revised:
October 1, 2002
Online:
June 18, 2003
Citation
Shabaneh, N., and Zu, J. W. (June 18, 2003). "Nonlinear Dynamic Analysis of a Rotor Shaft System With Viscoelastically Supported Bearings ." ASME. J. Vib. Acoust. July 2003; 125(3): 290–298. https://doi.org/10.1115/1.1547684
Download citation file:
Get Email Alerts
Nonminimum Phase Zeros of Multi-Degrees-of-Freedom Damped Flexible Systems
J. Vib. Acoust (April 2025)
Dynamics of Electrically Assisted Turbocharger Rotor System Supported on Floating Ring Bearings
J. Vib. Acoust (June 2025)
Nonlinear Damping Amplifier Friction Bearings
J. Vib. Acoust (June 2025)
Related Articles
Some Unusual Cases of Rotor Instability
J. Vib. Acoust (October,2003)
A Unified Approach to Analyze Vibration of Axisymmetric Rotating Structures with Flexible Stationary Parts
J. Vib. Acoust (April,2005)
A Hybrid Coordinates Component Mode Synthesis Method for Dynamic Analysis of Structures With Localized Nonlinearities
J. Vib. Acoust (June,2016)
Using Guided Balls to Auto-Balance Rotors
J. Eng. Gas Turbines Power (October,2002)
Related Proceedings Papers
Related Chapters
Unbalance
Fundamentals of Rotating Machinery Diagnostics
Research Tools
Bearing Dynamic Coefficients in Rotordynamics: Computation Methods and Practical Applications
Experimental and Statistical Study on the Noise Generated by Surface Defects of Bearing Rolling Bodies
Bearing and Transmission Steels Technology