Planetary gear transmissions load sharing measurement from tooth root strains: Numerical evaluation of mesh phasing influence

Abstract The present work proposes a numerical approach to the problem of the calculation of the load sharing in planetary transmissions by measuring the strains in the root of the sun gear teeth, a rather common experimental procedure. The approach to model the virtual strain gauges is described in detail. This technique is modelled mimicking the experimental measuring procedure. The presented technique is employed in different simulation scenarios including in-phase and sequentially phased transmissions. Moreover, various tangential position errors are included. These configurations cover the most common scenarios in industrial applications. From these scenarios, the results show discrepancies between the real load sharing and the measured data. The nature of these discrepancies is studied in depth from the geometrical point of view.

[1]  Robert G. Parker,et al.  Mesh Phasing Relationships in Planetary and Epicyclic Gears , 2004 .

[2]  R. Parker,et al.  Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model , 2000 .

[3]  Avinash Singh,et al.  Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation , 2010 .

[4]  Ahmet Kahraman,et al.  Dynamic Modelling of Planetary Gears of Automatic Transmissions , 2008 .

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

[6]  Sandeep M. Vijayakar,et al.  Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set , 2001 .

[7]  P. Velex,et al.  Dynamic Response of Planetary Trains to Mesh Parametric Excitations , 1996 .

[8]  Jing Wei,et al.  Dynamic model and load sharing performance of planetary gear system with journal bearing , 2020 .

[9]  Christopher G. Cooley,et al.  Dynamic tooth root strains and experimental correlations in spur gear pairs , 2016 .

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

[11]  A. Diez-Ibarbia,et al.  Advanced model for the calculation of meshing forces in spur gear planetary transmissions , 2015 .

[12]  Paul D. Walker,et al.  Modelling and control of a novel two-speed transmission for electric vehicles , 2018, Mechanism and Machine Theory.

[13]  Robert B. Randall,et al.  Application of spectral kurtosis for detection of a tooth crack in the planetary gear of a wind turbine , 2009 .

[14]  Irebert R. Delgado,et al.  Continued Evaluation of Gear Condition Indicator Performance on Rotorcraft Fleet , 2010 .

[15]  M. Haddar,et al.  Comparison of experimental and operational modal analysis on a back to back planetary gear , 2018, Mechanism and Machine Theory.

[16]  Lokaditya Ryali,et al.  A dynamic load distribution model of planetary gear sets , 2021 .

[17]  Robert B. Randall,et al.  Use of mesh phasing to locate faulty planet gears , 2019, Mechanical Systems and Signal Processing.

[18]  P. Velex,et al.  A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets , 2006 .

[19]  Chang-Wan Kim,et al.  Dynamic modeling and analysis of a wind turbine drivetrain using the torsional dynamic model , 2013 .

[20]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[21]  Wim Desmet,et al.  Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes , 2010 .

[22]  Fernando Viadero,et al.  Influence of errors in planetary transmissions load sharing under different mesh phasing , 2020 .

[23]  Ahmet Kahraman,et al.  A theoretical and experimental investigation of modulation sidebands of planetary gear sets , 2009 .

[24]  Shengdun Zhao,et al.  Optimization design and performance comparison of different powertrains of electric vehicles , 2021 .

[25]  Jesper Brauer.  A general finite element model of involute gears , 2004 .

[26]  Avinash Singh,et al.  Internal Gear Strains and Load Sharing in Planetary Transmissions: Model and Experiments , 2008 .

[27]  Jing Liu,et al.  Vibration analysis of a planetary gear with the flexible ring and planet bearing fault , 2020 .

[28]  A. Diez-Ibarbia,et al.  Planetary transmission load sharing: Manufacturing errors and system configuration study , 2017 .

[29]  Ahmet Kahraman,et al.  A New Method to Measure Planet Load Sharing and Sun Gear Radial Orbit of Planetary Gear Sets , 2012 .

[30]  Radoslaw Zimroz,et al.  A new feature for monitoring the condition of gearboxes in non-stationary operating conditions , 2009 .

[31]  Ahmet Kahraman,et al.  Static Load Sharing Characteristics of Transmission Planetary Gear Sets: Model and Experiment , 1999 .

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

[33]  E. Liaño,et al.  Non-stationary dynamic analysis of a wind turbine power drivetrain: Offshore considerations , 2014 .

[34]  Mo Shuai,et al.  Analytical investigation on load sharing characteristics of herringbone planetary gear train with flexible support and floating sun gear , 2020 .