Generalized concept of meshing and contact of involute crossed helical gears and its application |
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| Affiliation: | 1. School of Mechanical Engineering, Northwestern Polytechnical University, 127 West Youyi Road, Xi''an, 710072, China;2. School of Materials Science and Engineering, Henan University of Science & Technology, 263, Kaiyuan Avenue, Luoyang, China;1. Institute of Production Engineering and Photonic Technologies, TU Wien, Austria;2. Institute of Machining Technology, Technische Universität Dortmund, Germany;3. Fraunhofer Institute for Machine Tools and Forming Technology, Chemnitz, Germany;4. Institute for Machine Tools, Universität Stuttgart, Germany;5. Department of Mechanical Engineering, University of British Columbia, Canada;1. University of Waterloo, Waterloo, ON, Canada;2. Ontario Drive & Gear (ODG) Ltd., New Hamburg, ON, Canada |
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| Abstract: | A general approach for generation and design of standard and non-standard involute crossed helical gears is proposed. The conjugation of gear tooth surfaces is based on application of two generating rack-cutters with a common normal section. The investigation of the geometry is based on a new approach for presentation of the line of action A (the line of points of contact of tooth surfaces). Line A is represented in a plane Π that is tangent to the pinion base cylinder and position of A is determined analytically. Edge contact of tooth surfaces is avoided by limitation of shift of line of action caused by errors Δγ and ΔE of the crossing angle and the shortest distance, respectively. Simulation of meshing and contact is computerized by developed computer program. Enhanced stress analysis approach is proposed. The developed theory is illustrated with numerical examples. |
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