Parametric modeling is a process based on algorithm that enables the expression of parameters and rules that, together, define, encode, and clarify the relationship between design intent and design response. deduced the tooth surface equation of the gear by using the space meshing theory and realized the optimal design of the gear. 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. used geometric error compensation to reconstruct the geometric model of the tooth profile. used finite element analysis technology to optimize the shape of the gear transition curve. Fan and Zhang used the finite element method to establish the mathematical model of tooth shape optimization of double involute gear. introduced the genetic algorithm to minimize the transmission error fluctuation of gears and optimized the gear modification parameters. introduced the mathematical models of helical and spur gears. The research provided a general method to generate profiles also for worm gears. Litvin and Fuentes introduced the design of modern gear drive and the computer simulation of meshing contact of all kinds of gears and analyzed the theory of modern gear drive and the geometry knowledge of design and manufacture of all kinds of gear drive. studied the contact condition of tooth profile modification under load and explained the influence of tooth profile modification on the transmission error. The effectiveness of the algorithm is verified by the gear design problem, and the comparison results are studied. optimized the bevel gear pair by setting the objective function. By using Lingo and metaheuristic algorithm, Padmanabhan et al. combined load-bearing contact analysis (LTCA) with intelligent optimization algorithm to establish an optimization model. By setting objective functions and constraints, the fillet stress of gears was reduced. Spitas and Spitas proposed a nonstandard optimal design scheme to replace involute gears. used penalty function to solve the mathematical model aiming at the minimum volume and transmission noise of the spiral bevel gear. 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. They are excellent at moderate speeds and can easily achieve a constant drive ratio. The spur gear is a standard component and has the largest applications. The parallel axis gears have the highest efficiency among all categories of the gear. The spur gear is a cylindrical shaped gear in which the teeth are parallel to the axis, as shown in Figure 1. So, it may be considered a simple machine. Gears always produce a change in torque, creating a mechanical advantage through their gear transmit ratio. IntroductionĪ gear or cogwheel is a rotating machine part with cut teeth or cogs, which mesh with another toothed part to transmit torque. 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. 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. 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. In the traditional design process, the noninvolute part of the tooth profile curve is difficult to describe with mathematical equations. Spur gears are widely used transmission components.
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