Abstract
Face milling is primarily used for producing spiral bevel and hypoid gears. Over the past few decades, this cutting method has been implemented on five-axis CNC machine tools with a cutting path that has five nonlinear coordinates. As a result, NC codes must be checked before actual cutting to avoid collisions, and the produced tooth surfaces must be inspected. Previously, the Voxel method and marching cube algorithm were adopted to simulate the cutting process, but they were time-consuming due to Boolean operations. To overcome this problem, a new Dexel-ray method has been introduced in recent literature. This research proposes a ring-Dexel method to simulate bevel gear face milling cutting. Instead of using Dexel rays, the gear blank is constructed by three-dimensional circles. The interfering part between the tool and the gear blank is determined based on their cutting positions, and a set of triangles is used to represent the produced surfaces. Finally, the tooth flank deviations are evaluated between the built and theoretical tooth surfaces, confirming the correctness of the proposed method.
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References
Litvin, F.L., Gutman, Y.: Methods of synthesis and analysis for hypoid gear-drives of ‘Format’ and ‘Helixform’, Part 1, 2 and 3. ASME J. Mech. Des. 103(1), 83–110 (1981)
Litvin, F.L., Zhang, Y., Lundy, M., Heine, C.: Determination of settings of a tilted head cutter for generation of hypoid and spiral bevel gears. J. Mech. Transm. Autom. Des. 110(4), 495–500 (1988)
Lin, C.Y., Tsay, C.B., Fong, Z.H.: Mathematical Model of spiral bevel and hypoid gears manufactured by the modified roll method. Mech. Mach. Theory 32(2), 121–136 (1997)
Fong, Z.H.: Mathematical model of universal hypoid generator with supplemental kinematic flank correction motions. ASME J. Mech. Des. 122, 136–142 (2000)
Shih, Y.P., Fong, Z.H., Lin, G.C.Y.: Mathematical model for a universal face hobbing hypoid gear generator. ASME J. Mech. Des. 129(1), 38–47 (2007)
Shih, Y.P., Fong, Z.H.: Flank correction for spiral bevel and hypoid gears on a Six-Axis CNC hypoid generator. ASME J. Mech. Des. 130(6), 062604 (2008)
Lorensen, W.E., Cline, H.E.: Marching cubes: a high resolution 3D surface construction algorithm. In: Proceeding Proceedings of the 14th Annual Conference on Computer Graphics and Interactive Techniques, pp. 163–169
Van Hook, T., Real-time shaded NC milling display. In: Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH (1986)
Böß, V., Denkena, B., Breidenstein, B., Dittrich, M.A., Nguyen, H.N.: Improving technological machining simulation by tailored workpiece models and kinematics, 17th CIRP CMMO, vol. 82, pp. 224–230 (2019)
Inui, M., Huang, Y., Onozuka, H., Umezu, N.: Geometric simulation of power skiving of internal gear using solid model with triple-dexel representation. 48th SME NAMRC, 48, 520–527 (2020)
Gleason Works: Calculation Instructions: Generated Hypoid Gears, Duplex-Helical Method, Including Grinding. Rochester, NY (1971)
Acknowledgements
The authors are grateful to the R.O.C.’s National Science and Technology Council for its financial support. Part of this work was performed under Contract No. NSTC 111-2221-E-011-098-MY2.
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Shih, YP., Sheen, BT., Ting, CF., Chang, WC., Hong, JL. (2024). Face-Milling Cutting Simulation of Bevel Gears Using Ring-Dexel Method. In: Okada, M. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2023. Mechanisms and Machine Science, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-45709-8_2
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DOI: https://doi.org/10.1007/978-3-031-45709-8_2
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