Research On Fractal Method For Contact Strength Calculation Of The Concave-Convex Meshing Gear

The traditional research about surface contact is mostly based on the Hertz contact theory at present. While contact strength calculation of concave convex meshing Gear such as Micro-segment Gears and Double Circular Arc Gear are based on Empirical Formula deduced from FEM and Electrometric Method, owing to some uncertain parameters in the formula, which result in unstable results.Fractal theory mainly talks about irregular geometric shape in nonlinear systems. Fractal theory has a wide application in many fields such as natural sciences and social sciences since it was created in the 1980s, and fractal theory has its own advantages in the field of nonlinear research as a new method.According to the problems above, the fractal theory will be studied in this article, which can be used in contact strength calculation in concave convex meshing Gear driving. After the general process of contact calculation and basic conception in fractal theory being introduced, fractal model would be established and calculated as concave convex meshing Gear for example. Parametric model will be established and analyzed through Pro/E and ANSYS Workbench. The contact stress of the same pair of gears calculated by FEM method, the Hertz contact theory and fractal theory will be compared with the experimental data.This article results: It is feasible to calculate contact strength with fractal theory in the driving of concave convex meshing Gear, which not only can deeply reduce the uncertainly of empirical factor compared with traditional calculation method, but also can deeply reduce the difficulty compared with FEM method.