Research on dynamic characteristics of gear system considering the influence of temperature on material performance

Under high-speed and heavy-load conditions, the influence of temperature on the gear system is extremely important. Basically, the current work on the effect of temperature mostly considers the flash temperature or the overall temperature field to cause expansion at the meshing point and then affects nonlinear factors such as time-varying meshing stiffness, which lead to the deterioration of the dynamic transmission. This work considers the effect of temperature on the material’s elastic modulus and Poisson’s ratio and relates the temperature to the time-varying meshing stiffness. The effects of temperature on the elastic modulus and Poisson’s ratio are expressed as functions and brought into the improved energy method stiffness calculation formula. Then, the dynamic characteristics of the gear system are analyzed. With the bifurcation diagram, phase, Poincaré, and fast Fourier transform plots of the gear system, the influence of temperature on the nonlinear dynamics of the gear system is discussed. The numerical analysis results show that as the temperature increases, the dynamic response of the system in the middle-speed region gradually changes from periodic motion to chaos.

[1]  Xiaopeng Li,et al.  Nonlinear response analysis of gear-shaft-bearing system considering tooth contact temperature and random excitations , 2019, Applied Mathematical Modelling.

[2]  B. Wen,et al.  A revised time-varying mesh stiffness model of spur gear pairs with tooth modifications , 2018, Mechanism and Machine Theory.

[3]  Changjun Qi,et al.  Nonlinear dynamic model of a gear-rotor-bearing system considering the flash temperature , 2017 .

[4]  Diogo M. P. Rocha.  Bulk Temperature in Polymer-Metal Hybrid Gears , 2017 .

[5]  Yimin Zhang,et al.  A model for analyzing stiffness and stress in a helical gear pair with tooth profile errors , 2017 .

[6]  Jinyuan Tang,et al.  Effects of tooth profile modification on dynamic responses of a high speed gear-rotor-bearing system , 2016 .

[7]  Sheng Li,et al.  On the flash temperature of gear contacts under the tribo-dynamic condition , 2016 .

[8]  Jin Zeng,et al.  An improved analytical method for mesh stiffness calculation of spur gears with tip relief , 2016 .

[9]  Hui Ma,et al.  Improved time-varying mesh stiffness model of cracked spur gears , 2015 .

[10]  Ming J. Zuo,et al.  Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set , 2014 .

[11]  Xiaojun Zhou,et al.  Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion , 2012 .

[12]  Tang Jinyuan,et al.  Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction , 2011 .

[13]  Cai-Wan Chang-Jian,et al.  Strong nonlinearity analysis for gear-bearing system under nonlinear suspension—bifurcation and chaos , 2010 .

[14]  K. Mao,et al.  A numerical method for polymer composite gear flash temperature prediction , 2007 .

[15]  Jinyuan Tang,et al.  An Improved Nonlinear Dynamic Model of Gear Transmission , 2007 .

[16]  Metin Akkök,et al.  Determination of surface temperature rise with thermo-elastic analysis of spur gears , 2006 .

[17]  Ming J. Zuo,et al.  Analysis of the Vibration Response of a Gearbox With Gear Tooth Faults , 2004 .

[18]  Rajendra Singh,et al.  Strategies for Modeling Friction in Gear Dynamics , 2003 .

[19]  Hui Long,et al.  Operating temperatures of oil-lubricated medium-speed gears: Numerical models and experimental results , 2003 .

[20]  Lars Maclennan,et al.  An analytical method to determine the influence of shape deviation on load distribution and mesh stiffness for spur gears , 2002 .

[21]  Rajendra Singh,et al.  Sliding Friction-Induced Non-Linearity and Parametric Effects in Gear Dynamics , 2001 .

[22]  C. Padmanabhan,et al.  Linear dynamic analysis of multi-mesh transmissions containing external, rigid gears , 1995 .

[23]  Rajendra Singh,et al.  Non-linear dynamics of a geared rotor-bearing system with multiple clearances , 1991 .

[24]  Rajendra Singh,et al.  Non-linear dynamics of a spur gear pair , 1990 .

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

[26]  R. Cornell.  Compliance and Stress Sensitivity of Spur Gear Teeth , 1981 .

[27]  J. Harris,et al.  Tensile Testing , 1967, Testing of the Plastic Deformation of Metals.