Nonlinear dynamic analysis of a rotor bearing system due to distributed defects using factorial design of experiments

• Autorzy: Harsha S. P. , Nataraj C.
• Języki publikacji: EN

Abstrakty

EN

This paper focuses on accurate performance prediction which is essential to the design of high performance rotor bearing system. It considers distributed defects such as internal radial clearance and surface waviness of the bearing components. In the analytical formulation the contacts between the rolling elements and the races are considered as nonlinear springs, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The governing differenlial equations of motion are obtained by using Lagrange's equations. In terms of the feature that the nonlinear bearing forces act on the system, a reduction method and corresponding integration technique is used to increase the numerical stability and decrease computer time for system analysis. Poincare maps are used to elucidate and to iIIustrate the diversity of the system behavior. For investigating the nonlinear behavior of a rotor bearing system, effects of distributed defects are considered simultaneously. lt is shown that the system dynamic behavior is sensitive to small variations of distributed defects.

Słowa kluczowe

EN

nonlinear stiffness; distributed defects; Poincare maps; design of experiment (DOE)

PL

łożyska; wytrzymałość materiałów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 2
• Strony: 379--399
• Opis fizyczny: Bibliogr. 20 poz., rys., tab., wykr.

Twórcy

autor

Harsha S. P.

autor

Nataraj C.

• Center for Nonlinear Dynamics and Control Villanova University Villanova, PA 19085, USA,

Bibliografia

• Aktürk N. (1999): The effect of waviness on vibrations associated with ball bearings. - ASME Journal of Tribology, vol.121, pp.667-677.
• Bathe K. and Wilson E. (1976): Numerical Methods in Finite Element Analysis. - Englewood Cliffs, NJ: Prentice-Hall.
• Cheng C.S., Martin R.J. and Tang B. (1998): Two-level factorial designs with extreme numbers of sign changes. - Ann. Statist., vol.26, pp.1522-1539.
• Cheng C.S. and Steinberg D.M. (1991): Trend robust two-level factorial designs. - Biometrika, vol.78, pp.325-336.
• Gustafson O.G., Tallian T., Fukata S. and Tamura H. (1963): Research Report on study of the Vibration Characteristics of Bearings. - Report: AL 631 023, Reg: 585 14: 4223, SKF Ind. Inc.
• Harris T.A. (1991): Rolling Bearing Analysis. - New York: Willey.
• Harsha S.P., Sandeep K. and Prakash R. (2004): Nonlinear Dynamic Behaviors of Rolling Element Bearings Due to Surface Waviness. - Journal of Sound and Vibration, vol.272, No.3-5, pp.557-580.
• Kramer E. (1991): Dynamics of Rotors and Foundations. - NY: Springer Verlag.
• Martin R.J., Jones G. and Eccleston J.A. (1998b): Some results on two-level factorial designs with dependent observations. - J. Statist. Plann. Infer., vol.66, pp.363-384.
• Martin R.J., Eccleston J.A. and Jones G. (1998a): Some results on multi-level factorial designs with dependent observations. - J. Statist. Plann. Infer., vol.73, pp.91-111.
• Meyer L.D., Ahlgran F.F. and Weichbrodt B. (1980): An analytical model for ball bearing vibrations to predict vibration response to distributed defects. - ASME Journal of Mechanical Design, vol.102, pp.205-210.
• Nataraj C. and Nelson H.D. (1989): Periodic Oscillations in Rotor Dynamic Systems with Nonlinear Supports. - ASME, Journal of Vibration, Acoustics, Stress and Reliability in Design, vol.111, pp.187-193.
• Ohta H. and Sugimoto N. (1996): Vibration characteristics of tapered roller bearings. - Journal of Sound and Vibration, vol.190, pp.137-147.
• Rahnejat H. and Gohar R. (1985): The vibrations of radial ball bearings. - Proceedings of the Institution of Mechanical Engineers, vol.199(C3), pp.181-193.
• Saunders I.W., Eccleston J.A. and Martin R.J. (1995): An algorithm for the design of 2 p factorial experiments on continuous processes. - Austral. J. Statist., vol.37, pp.353-365.
• Sayles R.S. and Poon S.Y. (1981): Surface topography and rolling element vibration. - Precision Engineering, pp.137-144.
• Tondon N. and Choudhury A. (2000): A theoretical model to predict the vibration response of rolling bearings in a rotor bearing system to distributed defects under radial load. - ASME Journal of Tribology, vol.122, pp.609-615.
• Wardle F.P. (1988a): Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings, Part-I: Theory. Part-II Experimental Validation. - Proceedings of the Institution of Mechanical Engineers, vol.202 (C5), pp.305-319.
• Wardle F.P. and Poon S.Y. (1983): Rolling Bearing Noise, Cause and Cure. Char. - Mechanical Engineering, July/Aug., pp.36-40.
• Yhland E.M. (1992): A Linear Theory of Vibration Caused by Ball Bearings With Form Errors Operating at Moderate Speeds. - ASME Journal of Tribology, vol.114, pp.348-359.