Research on Optimization of Spiral Bevel Gear Milling Parameters Based on the Levenberg-Marquardt Method

Zeyu Fang

doi:10.62051/ijmee.v8n1.05

Authors

Zeyu Fang

DOI:

https://doi.org/10.62051/ijmee.v8n1.05

Keywords:

Spiral Bevel Gears, Levenberg-Marquardt Method, Optimization of Milling Parameters

Abstract

Based on the milling principle of spiral bevel gears, the structure of the spiral bevel gear milling machine and the motion relationships among its axes were analyzed, and a generating machining motion model for spiral bevel gears was established. By integrating the parameters of the milling cutter head with the generating machining motion model, a tooth surface model enveloped by the cutter head was developed. An analysis was conducted on the influence of six milling process parameters—such as angular tool position, radial tool position, and workpiece blank installation angle—on tooth surface deviation. Building on this foundation, an optimization model aimed at minimizing tooth surface deviation was constructed. The L-M algorithm was then employed to iteratively optimize the machining parameters with the goal of reducing the theoretical machining error as much as possible.

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