NDLI: Nonlinear Vibration Analysis of an Unbalanced Flexible Rotor Supported by Ball Bearings With Radial Internal Clearance

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Gupta, T. C. Gupta, K. Sehgal, D. K.
Copyright Year	2008
Abstract	In the present work, the nonlinear dynamic response of an unbalanced horizontal flexible rotor supported by deep groove ball bearing is studied. Nonlinearity effects in rolling element bearings arise from Hertzian contact force deformation relationship and clearance between rolling elements and races. The system is bi-periodically excited due to varying compliance of ball bearing and rotating unbalance. The flexible rotor bearing system is modeled by finite element method, taking into account the gyroscopic moments, rotary inertia, shear deformation, proportional damping, nonlinear stiffness and radial internal clearance of ball bearing. The implicit type numerical time integration scheme Newmark-β and Newton-Raphson methods are used to numerically solve the nonlinear equations of motion. The mathematical model is validated for the natural frequencies of the flexible shaft and whirl frequencies. On account of variation in the ball bearing stiffness, the variation in natural frequencies of the rotor ball bearing system is estimated. The influence of ball bearing nonlinearity on dynamic behavior is analyzed by time histories of steady state response, phase portraits and power spectra. Effect of radial internal clearance and varying compliance on the unbalance response of flexible rotor is studied in detail.
Sponsorship	International Gas Turbine Institute
Starting Page	1289
Ending Page	1298
Page Count	10
File Format	PDF
ISBN	9780791843154
DOI	10.1115/GT2008-51204
e-ISBN	0791838242
Volume Number	Volume 5: Structures and Dynamics, Parts A and B
Conference Proceedings	ASME Turbo Expo 2008: Power for Land, Sea, and Air
Language	English
Publisher Date	2008-06-09
Publisher Place	Berlin, Germany
Access Restriction	Subscribed
Subject Keyword	Damping Dynamic response Whirls Nonlinear equations Deformation Ball bearings Bearings Rotational inertia Nonlinear vibration Rotors Clearances (engineering) Finite element methods Steady state Spectra (spectroscopy) Rolling bearings Shear deformation Newton's method Stiffness
Content Type	Text
Resource Type	Article

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