Vibration modeling of a rigid rotor supported on the lubricated angular contact ball bearings considering six degrees of freedom and waviness on balls and races

Journal of Vibration and Acoustics

Volumn 134, Issue 1, 2012, Pages

  Babu, C K ^a   Tandon, N ^a   Pandey, R K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BALL BEARINGS; DEGREES OF FREEDOM (MECHANICS); FRICTION; VIBRATION ANALYSIS;

DYNAMICS MODELS; INDEPENDENT COMPONENTS; LOAD INDEPENDENT; MOMENT LOAD; NONLINEAR VIBRATION ANALYSIS; OUTER RACES; ROTOR-BEARING SYSTEM; SINUSOIDAL FUNCTIONS; SIX DEGREES OF FREEDOM; VIBRATION MODELING;

RIGID ROTORS;

EID: 84855217354     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.4005140     Document Type: Article

References (31)

1. Tandon, N., and Choudhury, A., 1999, "A Review of Vibration and Acoustic Measurement Methods for the Detection of Defects in Rolling Element Bearings," Tribol. Int., 32, pp. 469-80. (Pubitemid 30550533)
2. Patil, M. S., Mathew, J., and Rajendrakumar, P. K., 2008, "Bearing Signature Analysis as a Medium for Fault Detection: A Review," ASME J. Tribol., 130, p. 014001.
3. Tallian, T. E., and Gustafsson, O. G., 1965, "Progress in Rolling Bearing Vibration Research and Control," ASLE Trans., 8, pp. 195-207.
4. Choudhury, A., and Tandon, N., 1998, "A Theoretical Model to Predict Vibration Response of Rolling Bearings to Distributed Defects," ASME J. Vibr. Acoust., 120, pp. 214-220. (Pubitemid 128651979)
5. Tandon, N., and Choudhury, A., 2000, "A Theoretical Model to Predict the Vibration Response of Rolling Bearings in a Rotor Bearing System to Distributed Defects," ASME J. Tribol., 122, pp. 609-615. (Pubitemid 32152444)
6. Lynagh, N., Rahnejat, H., Ebrahimi, M., and Aini, R., 2000, "A Bearing Induced Vibration in Precision High Speed Routing Spindles," Int. J. Mach. Tools Manuf., 40, pp. 561-577. (Pubitemid 30534402)
7. Wensing, J. A., and van Nijen, G. C., 2001, "The Dynamic Behaviour of a System that Includes a Rolling Bearing," Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 215, pp. 509-518. (Pubitemid 34128784)
8. Jang, G. H., and Jeong, S. W., 2002, "Nonlinear Excitation Model of Ball Bearing Waviness in a Rigid Rotor Supported by Two or More Ball Bearings Considering Five Degrees of Freedom," ASME J. Tribol., 124, pp. 82-90. (Pubitemid 34155954)
9. Jang, G. H., and Jeong, S. W., 2003, "Analysis of a Ball Bearing With Waviness Considering the Centrifugal Force and Gyroscopic Moment of the Ball," ASME J. Tribol., 125, pp. 487-498. (Pubitemid 36996816)
10. Jang, G. H., and Jeong, S. W., 2003, "Stability Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness," ASME J. Tribol., 125, pp. 91-101. (Pubitemid 36610779)
11. Jang, G. H., and Jeong, S. W., 2004, "Vibration Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness," J. Sound Vib., 269, pp. 709-726.
12. Sopanen, J., and Mikkola, A., 2003, "Dynamic Model of Deep-Groove Ball Bearing Including Localized and Distributed Defects, Part 1: Theory," Proc. Inst. Mech. Eng., Part K: J. Multi-body Dyn., 217, pp. 201-211.
13. Sopanen, J., and Mikkola, A., 2003 "Dynamic Model of Deep-Groove Ball Bearing Including Localized and Distributed Defects, Part 2: Implementation and Results," Proc. Inst. Mech. Eng., Part K: J. Multi-body Dyn., 217, pp. 213-223.
14. Harsha, S. P., and Kankar, P. K., 2004, "Stability Analysis of Rotor Bearing System due to Surface Waviness and Number of Balls," Int. J. Mech. Sci., 46, pp. 1057-1081.
15. Harsha, S. P., Sandeep, K., and Prakash, R., 2004, "Nonlinear Dynamic Response of Rotor Bearing System due to Surface Waviness," Nonlinear Dyn., 37, pp. 91-114.
16. Harsha, S. P., Sandeep, K., and Prakash, R., 2004, "Nonlinear Dynamic Behaviours of Rolling Element Bearings due to Surface Waviness," J. Sound Vib., 272, pp. 557-580.
17. Changqing, B., and Qingyu, X., 2006, "Dynamic Model of Ball Bearings With Internal Clearance and Waviness," J. Sound Vib., 294, pp. 23-48. (Pubitemid 44255631)
18. Liqin, W., Li, C., and Dezhi, Z., 2008, "Nonlinear Dynamic Behaviours of a Rotor Roller Bearing System With Radial Clearance and Waviness Considered," Chin. J. Aeronaut., 21, pp. 86-96.
19. Cao, M., and Xiao, J., 2008, "A Comprehensive Dynamic Model of Double Row Spherical Roller Bearing-Model Development and Case Studies on Surface Defects, Preload, and Radial Clearance," Mech. Syst. Signal Process., 22, pp. 467-489. (Pubitemid 350102761)
20. Savalia, R., Ghosh, M. K., and Pandey, R. K., 2008, "Vibration Analysis of Lubricated Angular Contact Ball Bearings of Rigid Rotor Considering Waviness of Ball and Races," Tribology Online, 3, pp. 322-327.
21. Kankar, P. K., Harsha, S. P., Kumar, P., and Sharma, S. C., 2009, "Fault Diagnosis of a Rotor Bearing System Using Response Surface Method," Eur. J. Mech. -A/Solids, 28, pp. 841-857.
22. Harris, T. A., 2001, Rolling Bearing Analysis, 4th ed., Wiley, New York.
23. Yhland, E., 1992, "A Linear Theory of Vibrations Caused by Ball Bearings With Form Errors Operating at Moderate Speed," ASME J. Tribol., 114, pp. 348-359.
24. Dietel, P., Wensing, J., and van Nijen, G. C., 2000, "Rolling Bearing Damping for Dynamic Analysis of Multi-Body Systems-Experimental and Theoretical Results," Proc. Inst. Mech. Eng., Part K: J. Multi-body Dyn., 214, pp. 33-43.
25. Mistsuya, Y., Swai, H., Shimizu, M., and Aono, Y., 1998, "Damping in Vibration Transfer Through Deep Groove Ball Bearings," ASME J. Tribol., 120, pp. 413-420. (Pubitemid 28484310)
26. Aini, R., Rahnejat, H., and Gohr, R., 2002, "Vibration Modeling of Rotating Spindles Supported by Lubricated Bearings," ASME J. Tribol., 124, pp. 158-165. (Pubitemid 34159614)
27. Kramer, E., 1993, Dynamics of Rotors and Foundations, Springer, Berlin.
28. Akturk, N., 1999, "The Effect of Waviness on Vibration Associated With Ball Bearings," ASME J. Tribol., 121, pp. 667-677.
29. Hamrock, B. J., and Dowson, D., 1977, "Isothermal Elastohydrodynamic Lubrication of Point Contacts, Part-III: Fully Flooded Results," ASME J. Lubr. Technol., 99, pp. 264-276.
30. Greenspan, D., and Casulli, V., 1988, Numerical Analysis for Applied Mathematics, Science, and Engineering, 1st ed., Addison-Wesley Longman Publishing Co., Boston, MA.
31. Aini, R., Rahnejat, H., and Gohar, R., 1990, "A Five Degrees of Freedom Analysis of Vibrations in Precision Spindles," Int. J. Mach. Tool Des. Manuf., 30, pp. 1-18. (Pubitemid 20735617)