*Result*: Development of parametric design simulation software for face gear.

*[Objective] Face gear transmission is a novel gear system in which cylindrical gears mesh with face gears to transfer motion and power between axes that intersect or cross in space. Compared with bevel gear transmission, face gear transmission has no axial load and does not require thrust bearings; it has no need for anti-misalignment design and is easy to install. Moreover, the transmission is smoother. At present, there is no application of face gear engineering in China; one of the primary reasons for this is the lack of face gear tooth surface design methods and software. This paper takes orthogonal face gears as the research object, studies the grinding principle of face gear worm wheel grinding, and develops visualization software for face gear design modeling and machining calculation. [Methods] This paper is based on the principle of face gear worm wheel grinding and analyzes the grinding process of face gears in combination with actual machining conditions. First, based on the standard involute spur cylindrical gear tooth surface equation, the profile of the dressing wheel is derived through geometric relationships and coordinate transformations. Second, based on the principle of dressing the worm wheel with a dressing wheel, the tooth profile of the worm wheel is designed, and the tooth surface equation of the worm wheel is derived through meshing relationship and coordinate transformation. Finally, with reference to the actual structure of the gear grinding machine, theoretical analysis and modeling are conducted on the process of grinding the face gear with a worm wheel, and the tooth surface equation of the face gear based on the grinding principle is obtained. Based on the aforementioned deduction process, the Visual Studio integrated development environment that supports advanced features, such as intelligent code editing, real-time error checking, and code refactoring, is selected to create a .NET Framework form application. Using the C# programming language, combined with the open-source scientific computing library Math.Net, the professional mathematical calculation software MATLAB, and the modeling and visualization functions of the three-dimensional (3D) modeling and visualization platform AnyCAD, has enabled the development of a parameter design simulation software for face gears. [Results] The parameter design simulation software for face gears combines open-source scientific calculation libraries and professional mathematical calculation software to complete theoretical calculations; it integrates 3D modeling and visualization controls to display the modeling of face gears and cutting tools. The software also integrates visual functional modules, such as face gear design modeling based on virtual forming tools, machining system tools, and gear tooth surface calculation after grinding. Through interface interaction and convenient operation, the parameterized zero programming design modeling of face gears and the actual machining process calculation of "dressing wheel-worm wheel-face gear" are achieved, significantly improving the design efficiency. [Conclusions] The implementation of parameter design simulation software for face gears effectively links the design and processing stages of face gears, which is beneficial for optimizing the workpiece parameters involved in the processing process, improving the processing efficiency, supporting the mass production and promotion of face gears, and reducing the research costs caused by the difference between theoretical and processing information, thereby promoting green production. [ABSTRACT FROM AUTHOR]

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