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http://dx.doi.org/10.5050/KSNVE.2010.20.7.677

Nonlinear Dynamic Analysis of Helical Gears with Backlash by Torque Fluctuation  

Park, Chan-IL (강릉원주대학교 기계자동차공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.20, no.7, 2010 , pp. 677-684 More about this Journal
Abstract
Backlashes of gears provide gears for good lubrication and for removal of the interference between teeth by the wear and manufacturing errors. The backlash is the strong nonlinear factor to gears. This study deals with nonlinear modeling of helical gears with backlash. Excitation of helical gears comes from torque variation, the tooth surface error, and the periodical change of mesh stiffness. To study the effect of torque fluctuation, equation of motion for the single degree of freedom torsional model of helical gears with the periodical change of mesh stiffness and the backlash was derived. The Newmark beta method and the Newton-Raphson method were used to obtain the nonlinear behaviors of mesh forces of helical gears. All excitation frequencies initially caused the tooth separation and single-sided impacts of the gear pair and eventually led to the normal tooth contact. However, some special excitation frequencies caused the single-sided impacts in the entire time as well as the initial time. Damping increase reduced the duration of single-sided impacts, and the backlash increase caused those in the entire time domain.
Keywords
Helical Gear; Backlash; Nonlinear Dynamics; Torque Fluctuation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Sika, G. and Velex, P., 2007, “Analytical and Numerical Dynamic Analysis of Gears in the Presence of Engine Acyclism,” Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Sept. 4-7, Las Vegas, USA, DETC2007-34068.
2 Sika, G. and Velex, P., 2008, “Instability Analysis in Oscillators with Velocity-modulated Time-varying Stiffness-Applications to Gears Submitted to Engine Speed Fluctuations,” Journal of Sound and Vibration, Vol. 318, pp. 166-175   DOI   ScienceOn
3 Gurken, N. and Ozguven, H. N., 2007, “Interactions between Backlash and Bearing Clearance Nonlinearity in Geared Flexible Rotors,” Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Sept. 4-7, Las Vegas, USA, DETC2007-34101.
4 Cho, Y. S. and Choi, Y. S., “Nonlinear Dynamic Characteristics of Gear Driving Systems with Periodic Meshing Stiffness Variation and Backlash,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 12, No. 12, pp. 921-928.   과학기술학회마을   DOI   ScienceOn
5 Cook, R. D., Malkus, D. S., Plesha, M. E. and Witt, R. J., 2002, Concepts and Applications of Finite Element Analysis 4th ed., John Wiley & Sons, Inc., New York, pp. 416-426.
6 Park, C. I., 1992, “A Study on the Load Transmission and Vibration Characteristics of Gear Systems,” Ph.D dissertation, Seoul National University.
7 Park, C. I., 2010, “Nonlinear Vibration of Helical Gears with Backlash,” Proceedings of the KSNVE Twentieth Anniversary Spring Conference, pp. 61-62.
8 Nayfeh, A. H. and Mook, D. T., 1979, Nonlinear Oscillations, John Wiley & Sons, Inc., New York.
9 Kahraman, A. and Singh, R., 1990, “Nonlinear Dynamics of a Spur Gear Pair,” Journal of Sound and Vibration, Vol. 142, No. 1, pp. 49-75.   DOI
10 Kahraman, A. and Singh, R., 1991, “Nonlinear Dynamics of a Geared Rotor-bearing System with Multiple Clearances,” Journal of Sound and Vibration, Vol. 144, No. 3, pp. 469-506.   DOI
11 Theodossiades, S. and Natsiavas, S., 2000, “Non-linear Dynamics of Gear-pair Systems with periodic Stiffness and Backlash,” Journal of Sound and Vibration, Vol. 229, No. 2, pp. 287-310.   DOI
12 Theodossiades, S., Tangasawi, O. and Rahnejat, H., 2007, “Gear Teeth Impacts in Hydrodynamic Conjunctions Promoting Idle Gear Rattle,” Journal of Sound and Vibration, Vol. 303, pp. 632-658.   DOI