Dynamic features of planetary gear train with tooth errors

As one of the inherited displacement excitation sources which are related to the gear vibration and noise problems, gear transmission error always consists of two parts: gear tooth geometric error and tooth elastic deformation under transmitted load. The gear tooth geometric errors were directly employed as the displacement excitations in previous papers, which are not accurate. In this paper, a new method is developed to transform the gear tooth errors (TEs) to be the appropriate dynamic excitations through the mesh stiffness and the unloaded static transmission error (USTE), where the obtained displacement excitation curves, namely the USTE curves, are very different from the TE curves. Incorporation of the proposed model into the dynamic model of a planetary gear train enables the investigation of the TE effect on the dynamic excitations and vibrations. Two groups of TEs with different amplitudes are employed in the case studies. The results verify that the micro-scale TEs influence not only the dynamic displacement excitation, but also the total mesh stiffness and the planetary gear vibrations greatly.

[1]  Andrew Sommer,et al.  An Advanced Numerical Model of Gear Tooth Loading from Backlash and Profile Errors , 2011 .

[2]  Zaigang Chen,et al.  Dynamic Features of a Planetary Gear System With Tooth Crack Under Different Sizes and Inclination Angles , 2013 .

[3]  Zaigang Chen,et al.  Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack , 2013 .

[4]  Ahmet Kahraman,et al.  Influence of Carrier and Gear Manufacturing Errors on the Static Load Sharing Behavior of Planetary Gear Sets , 2004 .

[5]  Yimin Shao,et al.  Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth , 2011 .

[6]  Ahmet Kahraman,et al.  A dynamic model to predict modulation sidebands of a planetary gear set having manufacturing errors , 2010 .

[7]  P. Velex,et al.  A MATHEMATICAL MODEL FOR ANALYZING THE INFLUENCE OF SHAPE DEVIATIONS AND MOUNTING ERRORS ON GEAR DYNAMIC BEHAVIOUR , 1996 .

[8]  Ian Howard,et al.  The Dynamic Modeling of Multiple Pairs of Spur Gears in Mesh, Including Friction and Geometrical Errors , 2003 .

[9]  Teik C. Lim,et al.  Non-linear dynamic simulation of gear response under the idling condition , 2012 .

[10]  Robert G. Parker,et al.  Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration , 1999 .

[11]  Shuting Li Finite element analyses for contact strength and bending strength of a pair of spur gears with machining errors, assembly errors and tooth modifications , 2007 .

[12]  Shuting Li,et al.  Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gears , 2007 .

[13]  James R. Ottewill,et al.  Intermittent gear rattle due to interactions between forcing and manufacturing errors , 2009 .

[14]  W. D. Mark Analysis of the vibratory excitation of gear systems. II - Tooth error representations, approximations, and application , 1979 .

[15]  Sandeep M. Vijayakar,et al.  A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs , 2007 .

[16]  Giorgio Bonori,et al.  Non-smooth dynamics of spur gears with manufacturing errors , 2007 .

[17]  Fakher Chaari,et al.  Influence of manufacturing errors on the dynamic behavior of planetary gears , 2006 .

[18]  Fakher Chaari,et al.  Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness , 2009 .

[19]  Carlo Gorla,et al.  The effects of the shape of tooth profile modifications on the transmission error, bending, and contact stress of spur gears , 2010 .

[20]  Avinash Singh,et al.  An Experimental Study of the Influence of Manufacturing Errors on the Planetary Gear Stresses and Planet Load Sharing , 2008 .

[21]  Alberto Luiz Serpa,et al.  Investigation of tooth contact deviations from the plane of action and their effects on gear transmission error , 2005 .

[22]  P J Sweeney,et al.  Gear Transmission Error Measurement Using Phase Demodulation , 1996 .

[23]  S. L. Harris,et al.  A method of measuring transmission error in spur gears of 1:1 ratio , 1963 .

[24]  Masahiro Utagawa,et al.  Dynamic Loads on Spur Gear Teeth Having Pitch Errors at High Speed , 1961 .

[25]  Aizoh Kubo,et al.  Representative form accuracy of gear tooth flanks on the prediction of vibration and noise of power transmissions. , 1990 .