In this paper, a horizontal flexible rotor supported on two deep groove ball bearings is theoretically investigated for instability and chaos. The system is biperiodically excited. The two sources of excitation are rotating imbalance and self excitation due to varying compliance effect of ball bearing. A generalized Timoshenko beam finite element (FE) formulation, which can be used for both flexible and rigid rotor systems with equal effectiveness, is developed. The novel scheme proposed in the literature to analyze quasiperiodic response is coupled with the existing nonautonomous shooting method and is thus modified; the shooting method is used to obtain a steady state quasiperiodic solution. The eigenvalues of monodromy matrix provide information about stability and nature of bifurcation of the quasiperiodic solution. The maximum value of the Lyapunov exponent is used for quantitative measure of chaos in the dynamic response. The effect of three parameters, viz., rotating unbalance, bearing clearance, and rotor flexibility, on an unstable and chaotic behavior of a horizontal flexible rotor is studied. Interactive effects between the three parameters are examined in detail in respect of rotor system instability and chaos, and finally the range of parameters is established for the same.
Skip Nav Destination
e-mail: tcgmnit@gmail.com
e-mail: kgupta@mech.iitd.ac.in
e-mail: dks@am.iitd.ac.in
Article navigation
August 2011
Research Papers
Instability and Chaos of a Flexible Rotor Ball Bearing System: An Investigation on the Influence of Rotating Imbalance and Bearing Clearance
T. C. Gupta,
T. C. Gupta
Department of Mechanical Engineering,
e-mail: tcgmnit@gmail.com
National Institute of Technology
, Jaipur 302017, India
Search for other works by this author on:
K. Gupta,
K. Gupta
Department of Mechanical Engineering,
e-mail: kgupta@mech.iitd.ac.in
Indian Institute of Technology
, Delhi 110016, India
Search for other works by this author on:
D. K. Sehgal
D. K. Sehgal
Department of Applied Mechanics,
e-mail: dks@am.iitd.ac.in
Indian Institute of Technology
, Delhi 110016, India
Search for other works by this author on:
T. C. Gupta
Department of Mechanical Engineering,
National Institute of Technology
, Jaipur 302017, Indiae-mail: tcgmnit@gmail.com
K. Gupta
Department of Mechanical Engineering,
Indian Institute of Technology
, Delhi 110016, Indiae-mail: kgupta@mech.iitd.ac.in
D. K. Sehgal
Department of Applied Mechanics,
Indian Institute of Technology
, Delhi 110016, Indiae-mail: dks@am.iitd.ac.in
J. Eng. Gas Turbines Power. Aug 2011, 133(8): 082501 (11 pages)
Published Online: April 5, 2011
Article history
Received:
April 14, 2010
Revised:
May 1, 2010
Online:
April 5, 2011
Published:
April 5, 2011
Citation
Gupta, T. C., Gupta, K., and Sehgal, D. K. (April 5, 2011). "Instability and Chaos of a Flexible Rotor Ball Bearing System: An Investigation on the Influence of Rotating Imbalance and Bearing Clearance." ASME. J. Eng. Gas Turbines Power. August 2011; 133(8): 082501. https://doi.org/10.1115/1.4002657
Download citation file:
Get Email Alerts
Image-based flashback detection in a hydrogen-fired gas turbine using a convolutional autoencoder
J. Eng. Gas Turbines Power
Fuel Thermal Management and Injector Part Design for LPBF Manufacturing
J. Eng. Gas Turbines Power
An investigation of a multi-injector, premix/micromix burner burning pure methane to pure hydrogen
J. Eng. Gas Turbines Power
Related Articles
Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing
J. Vib. Acoust (December,2009)
Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing
J. Appl. Mech (February,2020)
Nonlinear Vibration Signature Analysis of a High Speed Rotor Bearing System Due to Race Imperfection
J. Comput. Nonlinear Dynam (January,2012)
Synchronous Response to Rotor Imbalance Using a Damped Gas Bearing
J. Eng. Gas Turbines Power (March,2010)
Related Proceedings Papers
Related Chapters
NASA Five-Ball Fatigue Tester—Over 20 Years of Research
Rolling Contact Fatigue Testing of Bearing Steels
Summary and Conclusions
Bearing Dynamic Coefficients in Rotordynamics: Computation Methods and Practical Applications
Average Shaft Centerline Plots
Fundamentals of Rotating Machinery Diagnostics