MATHEMATICAL MODELING OF CYLINDRICAL GEARS FORMATION

Optimal Selection of Addendum Modification Coefficients of Involute Cylindrical Gears

Based on the principles of equalized sliding coefficients and equalized teeth bending strength, the optimization mathematical model for calculating and allocating the addendum modification coefficients of involute cylindrical gear is firstly established. Then the measures to calculate the tooth parameters in real-time during the optimization steps are achieved. Finally, the optimization program...

Modal Analysis of Cylindrical Gears with Arcuate Tooth Trace

In this paper, the forming principle, meshing features and tooth surface equation were introduced. And the modal parameters distribution of cylindrical gears with arcuate tooth trace was researched. The results show: 1. The modulus was the biggest impact factor for modal and natural frequency of cylindrical gears with arcuate tooth trace, then tooth width, and the radius of tooth line have the ...

Cutting Kinematics Analysis in Hypocycloidal Tooth Milling of Cylindrical Gears

The hypocycloidal flanks of the cylindrical gear teeth have the flank lines defined by lengthened or shortened hypocycloid and the profile involute. The curved and bulged flanks have some advantages, among them being the increased strength in bending and controlled positioning of the contact imprint. The tooth flank generation has on the basis the application of the technological process of mil...

Study on the generalized mathematical model of noncircular gears

The Mathematical Model of Spiral Bevel Gears - A Review

The spiral bevel gear (SBG), with its high contact ratio, high strength and smooth driving, is widely used to transmit dynamic power in various mechanical products, including vehicles, mining machinery, aerospace engineering, and helicopters [1] to [4]. Typical SBGs are shown in Figs. 1a and b. The SBG has been a subject of research for almost a century, and there is a significant amount of lit...