Abstract
Spur gears are widely used transmission components. In the traditional design process, the noninvolute part of the tooth profile curve is difficult to describe with mathematical equations. This article puts forward a new parametric modeling method, which can describe the modified involute part of spur gears and parameterize and optimize the transition part of the involute curve of the spur gear. And this model of the spur gear can be created by parameters which is input in Scilab software and the spur gear graphic can be completed correspondingly. The experiments show that this modeling method can more quickly produce the standard spur or modified spur gear, and it also improves the efficiency and accuracy of spur gear modeling.
Highlights
A gear or cogwheel is a rotating machine part with cut teeth or cogs, which mesh with another toothed part to transmit torque
Gears always produce a change in torque, creating a mechanical advantage through their gear transmit ratio. It may be considered a simple machine. e spur gear is a cylindrical shaped gear in which the teeth are parallel to the axis, as shown in Figure 1. e parallel axis gears have the highest efficiency among all categories of the gear. e spur gear is a standard component and has the largest applications. ey are excellent at moderate speeds and can achieve a constant drive ratio
Zhu et al [1] took a harmonic gear with circular arc profile as the research object, calculated the flexspline profile curve when loaded with the elliptic cam wave generator
Summary
A gear or cogwheel is a rotating machine part with cut teeth or cogs, which mesh with another toothed part to transmit torque. Fan and Zhang [10] used the finite element method to establish the mathematical model of tooth shape optimization of double involute gear. Figliolini et al [13] proposed that the contact profile of involute teeth of spur and bevel gears could be obtained by using plane or corresponding spherical helix as auxiliary center of mass. Dolen et al [24] used the genetic algorithm to optimize the design of the fourstage gear train by setting objective function. Wang et al [29] optimized the profile modification of the end face of gear teeth by deducing the tooth surface equation of the rack cutter. The parameter modeling for the spur gear for the two-dimensional plane is a complex mathematics and programming project, which should be considered by many factors. After completing the modeling of a portion of the tooth profile, the entire tooth profile can be accomplished by using a circular array
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