“…The gear contact dynamic model has been verified by comparing with a 6 DOF gear dynamic model in Ref. 18 .…”
Section: Gear Dynamic Modelmentioning
confidence: 99%
“…The gear dynamic equation with the friction effect is expressed as 18 where,where, c m denotes gear meshing damping. γ 1 and γ 0 are used to determine whether gear pair is in contact, which can be expressed aswhere, b 0 denotes the half tooth backlash.…”
Section: Modelsmentioning
confidence: 99%
“…On the basis of the tribo-dynamic model 15 , the lubricant and dynamic performances 16 , tribo-dynamic characteristics 17 of spur gears were investigated. Considering the gyroscopic effect and flexible shaft, Hu et al 18 investigated the interaction between the gear dynamics and tribology. The effects of tooth profile modification on the dynamic responses for gear-rotor-bearing system were studied by Hu.…”
In this work, a wear prediction model considering the dynamic load is proposed for spur gears in mixed elastohydrodynamic lubrication (EHL). The dynamic load is calculated by gear dynamic model. Combining gear wear model and dynamic model, the wear depth under the dynamic load is determined and compared with that under quasi-static load. The comparative results show that the maximum wear depth under dynamic load is significantly larger than that under quasi-static load near engaging-in point. The effects of fractional film defect coefficient on wear depth are considerable under dynamic load, which is closely related to gear contact temperature. Furthermore, the effects of surface roughness and gear geometrical parameters on wear depth are studied. The investigation reveals that the wear depth decreases with the increased tooth width, module and pressure angle, but increases with the surface roughness. It illustrates that gear wear depth under the dynamic load can be reduced by optimizing gear geometrical parameters.
“…The gear contact dynamic model has been verified by comparing with a 6 DOF gear dynamic model in Ref. 18 .…”
Section: Gear Dynamic Modelmentioning
confidence: 99%
“…The gear dynamic equation with the friction effect is expressed as 18 where,where, c m denotes gear meshing damping. γ 1 and γ 0 are used to determine whether gear pair is in contact, which can be expressed aswhere, b 0 denotes the half tooth backlash.…”
Section: Modelsmentioning
confidence: 99%
“…On the basis of the tribo-dynamic model 15 , the lubricant and dynamic performances 16 , tribo-dynamic characteristics 17 of spur gears were investigated. Considering the gyroscopic effect and flexible shaft, Hu et al 18 investigated the interaction between the gear dynamics and tribology. The effects of tooth profile modification on the dynamic responses for gear-rotor-bearing system were studied by Hu.…”
In this work, a wear prediction model considering the dynamic load is proposed for spur gears in mixed elastohydrodynamic lubrication (EHL). The dynamic load is calculated by gear dynamic model. Combining gear wear model and dynamic model, the wear depth under the dynamic load is determined and compared with that under quasi-static load. The comparative results show that the maximum wear depth under dynamic load is significantly larger than that under quasi-static load near engaging-in point. The effects of fractional film defect coefficient on wear depth are considerable under dynamic load, which is closely related to gear contact temperature. Furthermore, the effects of surface roughness and gear geometrical parameters on wear depth are studied. The investigation reveals that the wear depth decreases with the increased tooth width, module and pressure angle, but increases with the surface roughness. It illustrates that gear wear depth under the dynamic load can be reduced by optimizing gear geometrical parameters.
“…Vibration responses with linear and nonlinear bearings revealed the presence of parametric resonances (in the nonlinear case), at both the gear mesh and roller pass frequencies. Chen et al [34] studied a helical gear shaft-bearing system, with short flexible shafts typical of automotive applications, whilst Hu et al [35] and Hu et al [36] performed similar investigations for spur gear pairs. Both studies use nonlinear gear teeth mesh stiffness terms, with linearised bearings.…”
“…6–11 However, the combination of EHL and conventional gear dynamics spawned the word of gear tribo-dynamics, much attention on gear tribo-dynamics have been paid in recent decades. 12–19 The principal method of gear tribo-dynamics is coupling the kinematical equations and Reynolds equation. Li et al.…”
In this paper, the mathematical model of gear elastohydrodynamic lubrication is presented. The transient impact operating condition and underdamped load condition are considered. Taking thermal effect and squeeze effect into account, the full numerical solution of gear pairs is obtained. In this numerical calculation, multigrid method is applied to compute the film pressure; multigrid integration technique is used to calculate the solid surface deformation; column by column scanning technique is employed to calculate temperature. The simulation results show that an entrapped film dimple forms under transient impact condition; transient impact causes remarkable increases in film pressure and film temperature. Compared with the normal case the minimum thickness of the impact case is smaller, which is not beneficial to teeth lubrication. Thermal effect induces some decreases in film thickness because of the viscosity–temperature relationship. Vibrational load with high damped frequency causes greater increases in film thickness and greater decreases in the coefficient of friction than that of low damped frequency. However, the film temperature of high damped frequency is higher than that of low damped frequency.
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