In this paper the nonlinear dynamic responses of a rigid rotor supported by ball bearings due to surface waviness of bearing races are analyzed. A mathematical formulation has been derived with consideration of the nonlinear springs and nonlinear damping at the contact points of rolling elements and races, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The numerical integration technique Newmark-β with the Newton–Raphson method is used to solve the nonlinear differential equations, iteratively. The effect of bearing running surface waviness on the nonlinear vibrations of rotor bearing system is investigated. The results are mainly presented in time and frequency domains are shown in time-displacement, fast Fourier transformation, and Poincaré maps. The results predict discrete spectrum with specific frequency components for each order of waviness at the inner and outer races, also the excited frequency and waviness order relationships have been set up to prognosis the race defect on these bearing components. Numerical results obtained from the simulation are validated with respect to those of prior researchers.
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e-mail: pavankankar@gmail.com
e-mail: sshmefme@iitr.ernet.in
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January 2012
Research Papers
Nonlinear Vibration Signature Analysis of a High Speed Rotor Bearing System Due to Race Imperfection
P. K. Kankar,
P. K. Kankar
Mechanical Engineering Department,
e-mail: pavankankar@gmail.com
PDPM Indian Institute of Information Technology, Design and Manufacturing
, Jabalpur-482005, India
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Satish C. Sharma,
Satish C. Sharma
Vibration & Noise Control Laboratory,
e-mail: sshmefme@iitr.ernet.in
Mechanical and Industrial Engineering Department, Indian Institute of Technology
Roorkee, Roorkee-247667, India
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S. P. Harsha
S. P. Harsha
Vibration & Noise Control Laboratory,
e-mail: spharsha@gmail.com
Mechanical and Industrial Engineering Department, Indian Institute of Technology
Roorkee, Roorkee-247667, India
Search for other works by this author on:
P. K. Kankar
Mechanical Engineering Department,
PDPM Indian Institute of Information Technology, Design and Manufacturing
, Jabalpur-482005, India
e-mail: pavankankar@gmail.com
Satish C. Sharma
Vibration & Noise Control Laboratory,
Mechanical and Industrial Engineering Department, Indian Institute of Technology
Roorkee, Roorkee-247667, India
e-mail: sshmefme@iitr.ernet.in
S. P. Harsha
Vibration & Noise Control Laboratory,
Mechanical and Industrial Engineering Department, Indian Institute of Technology
Roorkee, Roorkee-247667, India
e-mail: spharsha@gmail.com
J. Comput. Nonlinear Dynam. Jan 2012, 7(1): 011014 (16 pages)
Published Online: November 10, 2011
Article history
Received:
September 1, 2010
Revised:
August 20, 2011
Online:
November 10, 2011
Published:
November 10, 2011
Citation
Kankar, P. K., Sharma, S. C., and Harsha, S. P. (November 10, 2011). "Nonlinear Vibration Signature Analysis of a High Speed Rotor Bearing System Due to Race Imperfection." ASME. J. Comput. Nonlinear Dynam. January 2012; 7(1): 011014. https://doi.org/10.1115/1.4004962
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