The paper investigates the non-linear dynamic response of an unbalanced rotor supported on ball bearings with outer race waviness. The excitation is due to unbalanced force and waviness on outer race. The sources of non-linearities are both the radial clearance as well as the Hertzian contact between races and rolling elements. The nonlinear responses due to unbalanced rotor supported on bearings are investigated. The combined effects like non-linear stiffness and non-linear damping for unbalanced rotor with bearing waviness have been considered and analyzed in detail for a rotor bearing system. In the mathematical formulation, the contacts between the rolling elements and the races are considered as an oscillating spring-mass-damper system. The appearance of regions of periodic, sub-harmonic and chaotic behavior is seen to be strongly dependent on the number of waves in the outer race. The results show the appearance of instability and chaos in the dynamic response as the number of waves in the outer race is changed. The study indicates that the interaction of ball passage frequency (ωbp) due to outer race waviness and rotational frequency (X) due to the unbalanced rotor force. Poincaré maps and frequency responses are used to elucidate and to illustrate the diversity of the system behavior.
Skip Nav Destination
ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 4–7, 2013
Portland, Oregon, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5599-7
PROCEEDINGS PAPER
Dynamic Response of an Unbalanced Rotor Supported on Bearing With Outer Race Waviness
P. K. Kankar,
P. K. Kankar
PDPM-Indian Institute of Information Technology, Design and Manufacturing Jabalpur, Jabalpur, MP, India
Search for other works by this author on:
Satish C. Sharma,
Satish C. Sharma
Indian Institute of Technology Roorkee, Roorkee, UT, India
Search for other works by this author on:
S. P. Harsha
S. P. Harsha
Indian Institute of Technology Roorkee, Roorkee, UT, India
Search for other works by this author on:
P. K. Kankar
PDPM-Indian Institute of Information Technology, Design and Manufacturing Jabalpur, Jabalpur, MP, India
Satish C. Sharma
Indian Institute of Technology Roorkee, Roorkee, UT, India
S. P. Harsha
Indian Institute of Technology Roorkee, Roorkee, UT, India
Paper No:
DETC2013-12738, V008T13A046; 6 pages
Published Online:
February 12, 2014
Citation
Kankar, PK, Sharma, SC, & Harsha, SP. "Dynamic Response of an Unbalanced Rotor Supported on Bearing With Outer Race Waviness." Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. Portland, Oregon, USA. August 4–7, 2013. V008T13A046. ASME. https://doi.org/10.1115/DETC2013-12738
Download citation file:
9
Views
Related Proceedings Papers
Related Articles
Instability and Chaos of a Flexible Rotor Ball Bearing System: An Investigation on the Influence of Rotating Imbalance and Bearing Clearance
J. Eng. Gas Turbines Power (August,2011)
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 Chapters
Summary and Conclusions
Bearing Dynamic Coefficients in Rotordynamics: Computation Methods and Practical Applications
Average Shaft Centerline Plots
Fundamentals of Rotating Machinery Diagnostics
An Adaptive Fuzzy Control for a Multi-Degree-of-Freedom System
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17