Measurement of FRFs of coupled geared rotor system and the development of an accurate finite element model

Abstract An experimental study has been attempted to find out the effect of gear pair contact on the modal behaviour of an actual geared rotor system mounted on rolling element bearings. This is important as gear pair contact considerably affects the dynamic characteristics of the system. Frequency response functions of the uncoupled and coupled geared rotor systems have been measured to find out the effect of gear pair contact on the natural frequencies of the system. Moreover, a finite element model of the geared rotor system has been developed by modelling the shaft continuum, bearing coefficients and gear pair contact (using mesh stiffness and damping). Non-proportional viscous damping has been considered in modelling bearing and mesh damping coefficients. The results obtained after numerical simulation of finite element model are validated with the experimental results to check the accuracy of the developed finite element model.

[1]  Donald R. Houser,et al.  Dynamic analysis of geared rotors by finite elements , 1992 .

[2]  Anand Parey,et al.  Effect of shaft misalignment and friction force on time varying mesh stiffness of spur gear pair , 2015 .

[3]  Tim South,et al.  Fundamentals of vibration , 2013 .

[4]  D. C. H. Yang,et al.  A Rotary Model for Spur Gear Dynamics , 1985 .

[5]  H. D. Nelson,et al.  The Dynamics of Rotor-Bearing Systems Using Finite Elements , 1976 .

[6]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

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

[8]  Ilmar F. Santos,et al.  Advantages and Drawbacks of Applying Periodic Time-Variant Modal Analysis to Spur Gear Dynamics , 2010 .

[9]  Anand Parey,et al.  Effect of mesh stiffness of healthy and cracked gear tooth on modal and frequency response characteristics of geared rotor system , 2017 .

[10]  Omar D. Mohammed,et al.  Dynamic response and time-frequency analysis for gear tooth crack detection , 2016 .

[11]  B. J. Stone.  The State of the Art in the Measurement of the Stiffness and Damping of Rolling Element Bearings , 1982 .

[12]  J. K. Dutt,et al.  Model updating of rotors supported on ball bearings and its application in response prediction and balancing , 2013 .

[13]  David J. Ewins,et al.  Modal Testing: Theory, Practice, And Application , 2000 .

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

[15]  David J. Ewins.  Basics and state-of-the-art of modal testing , 2000 .

[16]  M. Li,et al.  Coupled axial-lateral-torsional dynamics of a rotor-bearing system geared by spur bevel gears , 2002 .

[17]  Rui Ma,et al.  Research on dynamics and fault mechanism of spur gear pair with spalling defect , 2012 .

[18]  Ming J. Zuo,et al.  Simulation of spur gear dynamics and estimation of fault growth , 2008 .

[19]  Chong-Won Lee,et al.  A complex modal testing theory for rotating machinery , 1991 .

[20]  D. C. H. Yang,et al.  Hertzian damping, tooth friction and bending elasticity in gear impact dynamics , 1987 .

[21]  Anand Parey,et al.  Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects , 2016 .

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

[23]  Ming J. Zuo,et al.  Dynamic modeling of gearbox faults: A review , 2018 .

[24]  Dennis P. Townsend,et al.  Vibration signature and modal analysis of multi-stage gear transmission , 1991 .

[25]  Takuzo Iwatsubo,et al.  Coupled Lateral-torsional Vibration of Rotor System Trained by Gears : part 1. Analysis by Transfer Matrix Method , 1984 .

[26]  Philippe Velex,et al.  Contribution of Gear Body to Tooth Deflections—A New Bidimensional Analytical Formula , 2004 .

[27]  Fakher Chaari,et al.  Numerical and experimental analysis of a gear system with teeth defects , 2005 .

[28]  L. Wilcox,et al.  Application of Finite Elements to the Analysis of Gear Tooth Stresses , 1973 .