A nonlinear dynamic model for analysis of the combined influences of nonlinear internal excitations on the load sharing behavior of a compound planetary gear set
- 30 July 2015
- journal article
- research article
- Published by SAGE Publications in Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
- Vol. 230 (7-8), 1048-1068
- https://doi.org/10.1177/0954406215597958
Abstract
Nonlinear internal excitations, which include meshing stiffness, backlash, and bearing clearance, may cause nonuniform load distribution in compound planetary gear transmission. To quantify the influence of nonlinear internal excitations on load sharing behavior, and to study the combined effects of meshing stiffness, backlash, and bearing clearance on load sharing behavior, this paper develops a nonlinear dynamic model of a Ravigneaux compound planetary gear set with all members possessing translational and torsional vibration degrees of freedom, as an extend dynamic model to the prior research for compound planetary gear set. In detail, the dynamic model is derived on the basis of the second Lagrange equations, and the load sharing coefficients for different meshing pairs are defined and calculated. Single factor analysis is introduced to investigate the influence of each nonlinear internal excitation on load sharing coefficient (LSC). On the basis of single factor analysis, Taguchi method is incorporated with the nonlinear dynamic model to study the combined effects of nonlinear internal excitation and figure out the most significant control factor affecting LSC among meshing stiffness, backlash, and bearing clearance. The calculation results are evaluated by using signal-to-noise (S/N) analysis and ANOVA method. The results indicate that backlash affects the load sharing behavior most significantly, compared with mean value of meshing stiffness and bearing clearance.Keywords
This publication has 24 references indexed in Scilit:
- Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crackMechanism and Machine Theory, 2012
- Dynamic Analysis of Planetary Gears With Bearing ClearanceJournal of Computational and Nonlinear Dynamics, 2012
- A New Method to Measure Planet Load Sharing and Sun Gear Radial Orbit of Planetary Gear SetsJournal of Mechanical Design, 2012
- Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffnessJournal of Sound and Vibration, 2006
- Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: sub-harmonic motionsJournal of Sound and Vibration, 2004
- Free torsional vibration characteristics of compound planetary gear setsMechanism and Machine Theory, 2001
- Load sharing characteristics of planetary transmissionsMechanism and Machine Theory, 1994
- Interactions between time-varying mesh stiffness and clearance non-linearities in a geared systemJournal of Sound and Vibration, 1991
- Non-linear dynamics of a geared rotor-bearing system with multiple clearancesJournal of Sound and Vibration, 1991
- Non-linear dynamics of a spur gear pairJournal of Sound and Vibration, 1990