A method for the evaluation of the influence of correction and wear of the teeth of a cylindrical gear on its durability and strength. Part 1. Service life and wear

Computer Simulation of the Impact of Optimization of Width in the Helical Cylindrical Gear on Bearing and Durability. Part 1. Height Correction of the Gear Profile

“…The changes in the initial maximum contact pressures p fmax during one cycle of tooth engagement are determined using the method for determining the wear and durability of toothed gears [16,17], considering the profile correction and the type of engagement [18]. This is done using the Hertz formula:…”

“…where v j = v is the sliding velocity at j-th points of the tooth profiles; j t′ = 2 bj /v 0 is the time of meshing during the displacement of j-th point of tooth contact along their profile per the width of tooth contact area; v 0 = ω 1 r 1 sin α t the velocity of shift of the contact point along the tooth profile; ω 1 is the angular velocity of the pinion; f is the sliding friction factor; R m is the immediate tensile strength of the material; C k , m k are the factors of frictional wear resistance of gear materials at limit friction determined in compliance with the methodology presented in [16]…”

“…1), which consists in measuring changes in the process parameters (h 1j , h 2j , ρ 1jh , ρ 2jh , ρ jh , p jhmax , 2b jh , jh t′ ) after a certain number of gear revolutions (engagement block B). Accordingly, a change in the radii of the curvature ρ kjh is determined in the following way [16]: The length of the chord replacing the involute between the points j -1, j + 1 is calculated in the following way: Changes in the profile curvature of the teeth due to their wear during every block of their engagement is determined in the following way: The length of the chord replacing the involute between the points j -1, j + 1 is calculated in the following way:…”

Performance enhancement of normal contact ratio gearing system through correction factor

“…The modification of addendum was studied by D. Gunay et.al [1] in tooth profile using finite element analysis and predicted the variation of the tooth thickness in addendum with the radius of the fillet for the corrected gear drives. Chernets et al [2][3] derived a model for the valuation of the material loss in the surface of the tooth based on its toughness and hardness with the effect of profile correction. Shuting Li [4][5] extended discussion on the modifications of the gear tooth with its error in machining and assembly on the load-carrying capacity of the drive added advantage to corrected gears.…”

Computer Simulation of the Impact of Optimization of Width in the Helical Cylindrical Gear on Bearing and Durability. Part 2. Angular Correction of the Gear Profile

“…Part 1 of this study reported the results of a study investigating a cylindrical helical gear with height correction of the profile. The investigation was conducted using a new method for determining the wear and durability of toothed gears [1]. This paper reports the results obtained for the cylindrical gear with angular correction of the profile depending on the type of engagement [3].…”