An algorithm for determination of time-varying frictional force and torque in a helical gear system

On the dynamics of lubricated hypoid gears

“…Another study by He et al [23] concentrated on the effect of sliding friction upon the dynamic response of a gear set, while assuming empirical formulae for the coefficient of friction. Similar analyses were conducted for helical gears by Velex and Cahouet [24], Velex and Sainsot [25], as well as Kar and Mohanty [26]. The common approach in the above studies was the dependence of friction on the variation of length of line of contact.…”

“…The variation of meshing stiffness with respect to time is crucial for the dynamic response of the system and can be calculated through TCA [15,26,42]. Due to time variation of the meshing vector, affected by the hypoid gear geometry, the radii p R and g R also follow the same trend.…”

“…The sense of friction torques depends on the direction of generated friction. This means that the torque exerted through friction can either assist or resist the motion of the system [26][27].…”

Non-Newtonian mixed elastohydrodynamics of differential hypoid gears at high loads

“…Alternatively, some earlier works have made use of empirical formulae to represent the coefficient of friction as a function of system parameters [8,9]. In recent times a similar approach has been used by He et al [10], Velex et al [11,12], and Kar and Mohanty [13], with friction described as a function of the length of the line of contact in their analyses of spur or helical gear teeth meshing.…”

Non-Newtonian mixed thermo-elastohydrodynamics of hypoid gear pairs

“…Hence, a constant coefficient of friction cannot be assumed as in some reported cases, 12,13 nor the use of empirical formulae. [14][15][16][17] Another approach is proposed by He et al, 18 Velex et al 19,20 and Kar and Mohanty, 21 describing friction as a function of the length of the line of contact for the meshing of spur or helical gear teeth pairs. It is more accurate to represent the meshing of gear problem as lubricated conjunctions as highlighted by De la Cruz et al 11 for the case of helical gears.…”