Variation of contact teeth pairs’ number and contact positions causes the time varying meshing stiffness, as the most important internal excitation of gear dynamic systems, to change.However, most of the current studies can’t adopt a precise analytical model to calculate potential energy between a tooth root circle and a gear base circle, and lead to calculation errors of the time-varying meshing stiffness.Here, aiming at this problem, based on the potential energy method, an analytical model to calculate the time-varying mesh stiffness and accurately consider potential energy between a gear base circle and a tooth root circle was proposed.According to the location of tooth root fillet’s center, the algorithm to calculate the time-varying meshing stiffness under conditions of different parameters was studied.Comparing the calculation results with those of finite element simulation, it was shown that the modified algorithm proposed here can more precisely calculate the time-varying meshing stiffness of gear teeth; this method provides a new way for gear system vibration analysis.
Key words
time-varying stiffness /
center of the root fillet /
potential energy method
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
References
[1]. I Howard , S Jia , J Wang. The dynamic modelling of a spur gear in mesh including friction and a crack [J], Mechanical Systems & Signal Processing, 2001 , 15 (5) :831-853
[2]. S Jia , I Howard. Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations [J]，Mechanical Systems & Signal Processing, 2006 , 20 (2) :332-349
[3]. AFD Rincon , F Viadero , M Iglesias ,et al. A model for the study of meshing stiffness in spur gear transmissions [J], Mechanism & Machine Theory, 2013, 61 (61) :30-58
[4]. DCH Yang, JY Lin. Hertzian Damping, Tooth Friction and Bending Elasticity in Gear Impact Dynamics [J], Journal of Mechanical Design, 1987, 109 (2) :189-196
[5]. X Tian, MJ Zuo, KR Fyfe. Analysis of the Vibration Response of a Gearbox With Gear Tooth Faults [J]，Asme International Mechanical Engineering Congress & Exposition，2004 :785-793
[6]. X Zhou, Y Shao, Y Lei, M Zuo. Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion [J], Journal of Vibration & Acoustics, 2012, 134 (1) :011011
[7]. A Saxena,A Parey, M Chouksey, Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects [J], Engineering Failure Analysis, 2016 , 70 :200-211
[8]. H Ma, J Zeng, R Feng. An improved analytical method for mesh stiffness calculation of spur gears with tip relief[J], Mechanism & Machine Theory , 2016 , 98 :64-80
[9]. 陈再刚. 行星轮系齿轮啮合非线性激励建模和振动特征研究 [D]，重庆大学 , 2013
CHEN Zaigang. Study on Gear Mesh Nonlinear Excitation Modelling and Vibration Features of Planetary Gear System [D]. Chongqing University. 2013
[10]. Z Chen，W Zhai，Y Shao. Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack[J], Engineering Failure Analysis, 2016 , 66 :502-514
[11]. Z Chen，Z Zhu，Y Shao，Fault feature analysis of planetary gear system with tooth root crack and flexible ring gear rim [J], Engineering Failure Analysis , 2015 , 49 :92-103
[12]. X Liang, MJ Zuo, M Pandey. Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set [J], Mechanism & Machine Theory, 2014, 76 (6) :20-38
[13]. 万志国，訾艳阳，曹宏瑞, 等. 时变啮合刚度算法修正与齿根裂纹动力学建模[J]，机械工程学报 , 2013 , 49 (11) :153-160
WAN Zhiguo ZI Yanyang CAO Hongrui ,et al. Time-varying Mesh Stiffness Algorithm Correction and Tooth Crack Dynamic Modeling [J]. Journal of Mechanical Engineering, 2013, 49 (11) :153-160
{{custom_fnGroup.title_en}}
Footnotes
{{custom_fn.content}}
PDF(1363 KB)
