Dynamic model of spur gear pair with modulation internal excitation

被引:4
作者
Wang Z. [1 ]
Zhang L. [2 ]
Luo Y.-Q. [2 ]
Chen C.-Z. [1 ,2 ]
机构
[1] School of Mechanical Engineering, Liaoning Institute of Science and Technology, Benxi, Liaoning
[2] School of Mechanical Engineering, Shenyang University of Technology, Shenyang, Liaoning
基金
中国国家自然科学基金;
关键词
Amplitude modulation - Dynamic models - Mesh generation - Vibrations (mechanical) - Spur gears - Runge Kutta methods;
D O I
10.1155/2017/1264904
中图分类号
学科分类号
摘要
In the actual measurements, vibration and noise spectrum of gear pair often exhibits sidebands around the gear mesh harmonic orders. In this study, a nonlinear time-varying dynamic model of spur gear pair was established to predict the modulation sidebands caused by the AM-FM modulation internal excitation. Here, backlash, modulation time-varying mesh stiffness, and modulation transmission error are considered. Then the undamped natural mode was studied. Numerical simulation was made to reveal the dynamic characteristic of a spur gear under modulation condition. The internal excitation was shown to exhibit obvious modulation sideband because of the modulation time-varying mesh stiffness and modulation transmission error. The Runge-Kutta method was used to solve the equations for analyzing the dynamic characteristics with the effect of modulation internal excitation. The result revealed that the response under modulation excitation exhibited obvious modulation sideband. The response under nonmodulation condition was also calculated for comparison. In addition, an experiment was done to verify the prediction of the modulation sidebands. The calculated result was consistent with the experimental result. © 2017 Zhong Wang et al.
引用
收藏
相关论文
共 21 条
[1]  
Ozguvenand H.N., Houser D.R., Mathematicalmodels used in gear dynamics-A review, Journal of Sound and Vibration, 121, 3, pp. 383-411, (1988)
[2]  
Kahraman A., Singh R., Non-linear dynamics of a spur gear pair, Journal of Sound and Vibration, 142, 1, pp. 49-75, (1990)
[3]  
Kahraman A., Singh R., Non-linear dynamics of a geared rotor-bearing system with multiple clearances, Journal of Sound and Vibration, 144, 3, pp. 469-506, (1991)
[4]  
Kahraman A., Singh R., Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system, Journal of Sound and Vibration, 146, 1, pp. 135-156, (1991)
[5]  
Blankenship G.W., Kahraman A., Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity, Journal of Sound and Vibration, 185, 5, pp. 743-765, (1995)
[6]  
Cai Y., Hayashi T., Linear approximated equation of vibration of a pair of spur gears (theory and experiment), Journal of Mechanical Design, Transactions of the ASME, 116, 2, pp. 558-564, (1994)
[7]  
Cai Y., Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon (a new stiffness function of helical involute tooth pair), Journal of Mechanical Design, 117, 3, pp. 460-469, (1995)
[8]  
Shen Y., Yang S., Liu X., Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method, International Journal of Mechanical Sciences, 48, 11, pp. 1256-1263, (2006)
[9]  
Zhang Y., Wang Q., Ma H., Huang J., Zhao C., Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity, Journal OfMechanical Science and Technology, 27, 11, pp. 3231-3242, (2013)
[10]  
Zhang Y.-M., Yang J., Hu P., Wang Q.-B., Meshing characteristics analysis of spur gear pair considering modification coefficient, Journal of Northeastern University (Natural Science), 34, 9, pp. 1287-1291, (2013)