A type of modified-hourglass worm gear drive, frequently called type-II worm gearing for short, has various favorable meshing features. Its sole shortcoming is the undercutting of the worm wheel. By adopting a slight modification, this problem can be overcome due to the removal of a part of one subconjugate area containing the curvature interference limit line. To measure how effectively the undercutting is avoided, a strategy to determine the meshing point in the most severe condition is proposed for a type-II worm drive. The strategy presented consists of two steps. The first step is to establish a system of nonlinear equations in five variables in accordance with the theory of gearing. The second step is to solve the system of nonlinear equations by a numerical iteration method to ascertain the meshing point required. A numerical example is presented to verify the validity and feasibility of the proposed scheme.
Determination of the Most Dangerous Meshing Point for Modified-Hourglass Worm Drives
Contributed by the Power Transmission and Gearing Committee of ASME for publication in the Journal of Mechanical Design. Manuscript received April 30, 2012; final manuscript received December 7, 2012; published online January 17, 2013. Assoc. Editor: Qi Fan.
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Zhao, Y., and Zhang, Y. (January 17, 2013). "Determination of the Most Dangerous Meshing Point for Modified-Hourglass Worm Drives." ASME. J. Mech. Des. March 2013; 135(3): 034503. https://doi.org/10.1115/1.4023281
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