RESEARCH PAPERS: Power Transmission and Gearing

ZK-Type Dual-Lead Worm and Worm Gear Drives: Geometry

[+] Author and Article Information
B.-W. Bair, C.-B. Tsay

National Chiao Tung University, Department of Mechanical Engineering, Hsinchu, Taiwan 30050, R.O.C

J. Mech. Des 120(3), 414-421 (Sep 01, 1998) (8 pages) doi:10.1115/1.2829168 History: Received August 01, 1997; Revised May 01, 1998; Online December 11, 2007


A dual-lead worm gear set is frequently used for machines to operate without backlash, which can be adjusted along the worm’s axial direction. The ZK-type dual-lead worm is generated by a cone-type straight-edged grinding wheel while an oversize worm-type hob cutter cuts the worm gear. The dual-lead worm gear set has two different axial modules and helix angles for the right- and left-side tooth surfaces. The mathematical model involving ZK-type dual-lead worm and worm gear surface geometries is developed based on the theory of gearing and gear cutting mechanism. According to the proposed mathematical model, computer graphs of the ZK-type dual-lead worm gear drives have been presented. Coordinates of the meshed grid-point on gear drive surfaces can thus be determined by applying the numerical method. Undercutting of the worm gear surface has been investigated based on the theory of gearing and the developed gear set mathematical model. The gear set mathematical model developed herein can facilitate gear set tooth contact analysis, contact teeth, contact ratio and other advanced investigations.

Copyright © 1998 by The American Society of Mechanical Engineers
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