An algorithm is developed for the execution of motions on the computer numerical control (CNC) hypoid generating machine using the relations on the cradle-type machine. The algorithm is based on the condition that, since the tool is a rotary surface and the pinion/gear blank is also related to a rotary surface, it is necessary to ensure the same relative position of the head cutter and the pinion on both machines. The algorithm is applied for the execution of motions on the CNC hypoid generator for the manufacture of spiral bevel gears, based on the machine tool setting variation on the cradle-type hypoid generator conducted by optimal polynomial functions up to the fifth-order. By using the corresponding computer program, the motion graphs of the CNC hypoid generator are determined for the manufacture of spiral bevel gears, based on the optimal variation in the velocity ratio in the kinematic scheme and on the variation in the cradle radial setting on a cradle-type generator.
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March 2010
Research Papers
Advanced Manufacture of Spiral Bevel Gears on CNC Hypoid Generating Machine
Vilmos V. Simon
Vilmos V. Simon
Department of Machine Design, Faculty of Mechanical Engineering,
e-mail: simon.vilmos@gszi.bme.hu
Budapest University of Technology and Economics
, Műegyetem rkp. 3, H-1111 Budapest, Hungary
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Vilmos V. Simon
Department of Machine Design, Faculty of Mechanical Engineering,
Budapest University of Technology and Economics
, Műegyetem rkp. 3, H-1111 Budapest, Hungarye-mail: simon.vilmos@gszi.bme.hu
J. Mech. Des. Mar 2010, 132(3): 031001 (8 pages)
Published Online: March 1, 2010
Article history
Received:
September 22, 2009
Revised:
December 10, 2009
Online:
March 1, 2010
Published:
March 1, 2010
Citation
Simon, V. V. (March 1, 2010). "Advanced Manufacture of Spiral Bevel Gears on CNC Hypoid Generating Machine." ASME. J. Mech. Des. March 2010; 132(3): 031001. https://doi.org/10.1115/1.4001130
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