A New Method of Constructing Tooth Surface for Logarithmic Spiral Bevel Gear

Abstract:

For a new type of bevel gear—logarithmic spiral bevel gear, establish its tooth direction curves and the mathematical model of tooth surface equation. With CAD software platform which can intuitive understanding of complex curves and combined with conical logarithmic spiral parameter equation build the logarithmic spiral on cone surface. Then array logarithmic spiral to make them evenly distributed in the cone surface, without any interference and to meet the strength distribution on both ends of circular truncated cone equally. Use two logarithmic spirals from different starpoint as tooth direction curves of lift and right tooth surface. Finally, use space geometric knowledge to build tooth surface equation by tooth direction curves and tooth profile curves.

• Periodical: Advanced Materials Research (Volumes 129-131)
• Pages: 235-240
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.129-131.235
• Online since: August 2010
• Authors: Qiang Li, Zi Liang Wei, Hong Bo Yan, Hai Yan Hu
• Keywords: Curve, Curved Surface, Logarithmic Spiral Bevel Gear, Tooth Surface

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