This paper presents a systematic approach for the design, generation and analysis of conical worm gear drives. The approach is based on the mathematical formulations on the mesh, tooth generation process and conditions for the appearance of contact envelope and tooth undercutting of this type of worm drives. The formulation is implemented by a computer model developed in MatLab environment. By model simulation on worm gear mesh or generation, the conditions for the formation of contact envelope and tooth undercutting are accurately determined for the proper design of worm gear blank and tooth geometry. The computer model can also be used to calculate worm gear tooth geometry and create solid models for the worm gear drives. Numerical examples on conical worm gear drive design, analysis on the problems of contact envelope, limit line and limit point are included in the paper.
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March 2003
Technical Papers
Pitch Cone Design and Avoidance of Contact Envelope and Tooth Undercutting for Conical Worm Gear Drives
Yi Zhang, Associate Professor,
Yi Zhang, Associate Professor
Department of Mechanical Engineering, The University of Michigan-Dearborn, Dearborn, MI 48128
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Hai Xu, Graduate Student
Hai Xu, Graduate Student
Department of Mechanical Engineering, The University of Michigan-Dearborn, Dearborn, MI 48128
Search for other works by this author on:
Yi Zhang, Associate Professor
Department of Mechanical Engineering, The University of Michigan-Dearborn, Dearborn, MI 48128
Hai Xu, Graduate Student
Department of Mechanical Engineering, The University of Michigan-Dearborn, Dearborn, MI 48128
Contributed by the Power Transmission and Gearing Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received December 2001; revised April 2002. Associate Editor: Ahmet Kahraman.
J. Mech. Des. Mar 2003, 125(1): 169-177 (9 pages)
Published Online: March 21, 2003
Article history
Received:
December 1, 2001
Revised:
April 1, 2002
Online:
March 21, 2003
Citation
Zhang, Y., and Xu, H. (March 21, 2003). "Pitch Cone Design and Avoidance of Contact Envelope and Tooth Undercutting for Conical Worm Gear Drives ." ASME. J. Mech. Des. March 2003; 125(1): 169–177. https://doi.org/10.1115/1.1539506
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