Abstract
At present, the mean value of the meshing stiffness and the gear backlash is a fixed value in the nonlinear dynamic model. In this study, wear is considered in the model of the gear backlash and time-varying stiffness. With the increase of the operating time, the meshing stiffness decreases and the gear backlash increases. A six degrees-of-freedom nonlinear dynamic model of a new rigid-flexible gear pair is established with time-varying stiffness and time-varying gear backlash. The dynamic behaviors of the gear transmission system are studied through bifurcation diagrams with the operating time as control parameters. Then, the dynamic characteristics of the gear transmission system are analyzed using excitation frequency as control parameters at four operating time points. The bifurcation diagrams, Poincaré maps, fast Fourier transform (FFT) spectra, phase diagrams, and time series are used to investigate the state of motion. The results can provide a reference for the gear transmission system with wear.
Issue Section:
Research
Papers
References
1.
Velex
, P.
, and Flamand
, L.
, 1996
, “Dynamic Response of Planetary Trains to Mesh Parametric Excitations
,” ASME J. Mech. Des.
, 118
(1
), pp. 7
–14
. 2.
Kahraman
, A.
, 2001
, “Free Torsional Vibration Characteristics of Compound Planetary Gear Sets
,” Mech. Mach. Theory
, 36
(8
), pp. 953
–971
. 3.
Wang
, J.
, Lim
, T. C.
, and Li
, M.
, 2007
, “Dynamics of a Hypoid Gear Pair Considering the Effects of Time-Varying Mesh Parameters and Backlash Nonlinearity
,” J. Sound Vib.
, 308
(1
), pp. 302
–329
. 4.
Zhou
, W.
, Wei
, X.
, Wei
, X.
, and Wang
, L.
, 2014
, “Numerical Analysis of a Nonlinear Double Disc Rotor-Seal System
,” J. Zhejiang Univ. Sci. A
, 15
(1
), pp. 39
–52
. 5.
Wang
, L.
, Zhou
, W.
, Wei
, X.
, Zhai
, L.
, and Wu
, G.
, 2016
, “A Coupling Vibration Model of Multi-Stage Pump Rotor System Based on FEM
,” Mechanika
, 22
(1
), pp. 31
–37
. 6.
Yang
, J.
, Peng
, T.
, and Lim
, T. C.
, 2012
, “An Enhanced Multi-Term Harmonic Balance Solution for Nonlinear Period-One Dynamic Motions in Right-Angle Gear Pairs
,” Nonlinear Dyn.
, 67
(2
), pp. 1053
–1065
. 7.
Li
, Z.
, and Peng
, Z.
, 2015
, “Nonlinear Dynamic Response of a Multi-Degree of Freedom Gear System Dynamic Model Coupled With Tooth Surface Characters: a Case Study on Coal Cutters
,” Nonlinear. Dyn.
, 84
(1
), pp. 271
–286
. 8.
Xiang
, L.
, Gao
, N.
, and Hu
, A.
, 2018
, “Dynamic Analysis of a Planetary Gear System With Multiple Nonlinear Parameters
,” J. Comput. Appl. Math.
, 327
, pp. 325
–340
. 9.
Gill-Jeong
, C.
, 2007
, “Nonlinear Behavior Analysis of Spur Gear Pairs With a one-way Clutch
,” J. Sound Vib.
, 301
(3
), pp. 760
–776
. 10.
Wang
, J.
, He
, G.
, Zhang
, J.
, Zhao
, Y.
, and Yao
, Y.
, 2017
, “Nonlinear Dynamics Analysis of the Spur Gear System for Railway Locomotive
,” Mech. Syst. Signal Process.
, 85
, pp. 41
–55
. 11.
Liu
, C.
, Qin
, D.
, Wei
, J.
, and Liao
, Y.
, 2018
, “Investigation of Nonlinear Characteristics of the Motor-Gear Transmission System by Trajectory-Based Stability Preserving Dimension Reduction Methodology
,” Nonlinear Dyn.
, 3
, pp. 1
–16
.12.
Naresh K.
, R.
, and Anand
, P.
, 2019
, “A New Technique of Gear Mesh Stiffness Measurement Using Experimental Modal Analysis
,” ASME J. Vib. Acoust.- Trans.
, 141
(2
), p. 021018
. 13.
Senthilvelan
, S.
, and Gnanamoorthy
, R.
, 2004
, “Damage Mechanisms in Injection Molded Unreinforced, Glass and Carbon Reinforced Nylon 66 Spur Gears
,” Appl. Compos. Mater.
, 11
(6
), pp. 377
–397
. 14.
Choong
, H. K.
, 2006
, “Durability Improvement Method for Plastic Spur Gears
,” Tribol. Int.
, 39
(11
), pp. 1454
–1461
. 15.
Huseyin
, I.
, 2009
, “Performance Improvement Method for Nylon 6 Spur Gears
,” Tribol. Int.
, 42
(3
), pp. 503
–510
. 16.
Senthilvelan
, S.
, and Gnanamoorthy
, R.
, 2007
, “Effect of Rotational Speed on the Performance of Unreinforced and Glass Fiber Reinforced Nylon 6 Spur Gears
,” Mater. Des.
, 28
(3
), pp. 765
–772
. 17.
Mao
, K.
, 2007
, “A new Approach for Polymer Composite Gear Design
,” Wear
, 262
(3–4
), pp. 432
–441
. 18.
Hooke
, C. J.
, Mao
, K.
, and Walton
, D.
, 1993
, “Measurement and Prediction of the Surface Temperature in Polymer Gears and Its Relation to Surface Wear
,” J. Tribol. Trans. ASME
, 115
(1
), pp. 119
–124
. 19.
Koffi
, D.
, Kassegne
, K. A.
, Wotodzo
, K. F.
, and Bedja
, K.
, 2012
, “Modeling and Prediction of Mechanical Behavior of Plastic Gears in Simulated Wear Situation
,” Solid State Phenom.
, 188
, pp. 232
–237
. 20.
Feng
, S.
, Mao
, J.
, and Xie
, Y.
, 2015
, “Analysis and Calculation of Gear Mesh Stiffness With Tooth Wear
,” Chin. J. Mech. Eng.
, 51
(15
), pp. 27
–32
. 21.
Zhou
, C.
, and Wang
, H.
, 2018
, “An Adhesive Wear Prediction Method for Double Helical Gears Based on Enhanced Coordinate Transformation and Generalized Sliding Distance Model
,” Mech. Mach. Theory
, 128
, pp. 58
–83
. 22.
Wojnarowski
, J.
, and Onishchenko
, V.
, 2003
, “Tooth Wear Effects on Spur Gear Dynamics
,” Mech. Mach. Theory
, 38
(2
), pp. 161
–178
. 23.
Yuksel
, C.
, and Kahraman
, A.
, 2004
, “Dynamic Tooth Loads of Planetary Gear Sets Having Tooth Profile Wear
,” Mech. Mach. Theory
, 39
(7
), pp. 695
–715
. 24.
Archard
, J. F.
, 1953
, “Contact and Rubbing of Flat Surfaces
,” J. Appl. Phys.
, 24
, pp. 981
–988
. 25.
Liu
, X.
, Yang
, Y.
, and Zhang
, J.
, 2016
, “Investigation on Coupling Effects Between Surface Wear and Dynamics in a Spur Gear System
,” Tribol. Int.
, 101
, pp. 383
–394
. 26.
Wang
, X.
, Wu
, S.
, Hu
, S.
, Cai
, J.
, and Jie
, C.
, 2012
, “Chaos and Bifurcation Analysis of Gear Pair With Wear Fault
,” Adv. Mate. Res.
, 629
, pp. 506
–510
. 27.
Masjedi
, M.
, and Khonsari
, M. M.
, 2015
, “On the Prediction of Steady-State Wear Rate in Spur Gears
,” Wear
, s342–s343
, pp. 234
–243
. 28.
Chen
, S.
, Tang
, J.
, Luo
, C.
, and Wang
, Q.
, 2011
, “Nonlinear Dynamic Characteristics of Geared Rotor Bearing Systems With Dynamic Backlash and Friction
,” Mech. Mach. Theory
, 46
(4
), pp. 466
–478
. 29.
Chen
, Z.
, and Shao
, Y.
, 2011
, “Dynamic Simulation of Spur Gear With Tooth Root Crack Propagating Along Tooth Width and Crack Depth
,” Eng. Failure Anal.
, 18
(8
), pp. 2149
–2164
. 30.
Pu
, W.
, Wang
, J.
, Xin
, Y.
, Li
, J.
, Zhou
, G.
, and Zhou
, Q.
, 2015
, “Innovation Design and Experiment Research on the N-N Type Planetary Gear Apparatus With Small Tooth Number Difference
,” Proc. Inst. Mech. Eng. Part C
, 230
(15
), pp. 203
–210
. 31.
Wang
, J.
, Huang
, W.
, and Xu
, T.
, 2016
, “Vibration Characteristics Analysis and Experimental Research on Metal Rubber Composite Gear Pair
,” J. Zhejiang Univ. (Science Edition)
, 50
(11
), pp. 2231
–2238
.32.
Wang
, J.
, Huang
, W.
, and Xiao
, K.
, 2017
, “Numerical and Experimental Investigation on Vibration Characteristics of a Complex Gear Pair
,” J. Hunan Univ. Sci. Technol. (Natural Science Edition)
, 44
(2
), pp. 40
–46
.33.
Wang
, J.
, Huang
, W.
, and Xu
, T.
, 2017
, “Investigation Into Vibration of Metal Rubber Compound Gear Pair Based on Deformation Coordination Design
,” J. South China Univ. Technol. (Natural Science Edition)
, 45
(1
), pp. 129
–136
.Copyright
© 2019 by
ASME
You do not currently have access to this content.
