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Research Papers

Generation of Hypoid Gears on CNC Hypoid Generator

[+] Author and Article Information
Vilmos V. Simon

 Budapest University of Technology and Economics, Faculty of Mechanical Engineering, Department for Machine Design, H-1111 Budapest, Műegyetem rkp. 3, Hungarysimon.vilmos@gszi.bme.hu

J. Mech. Des 133(12), 121003 (Dec 09, 2011) (9 pages) doi:10.1115/1.4005232 History: Received October 25, 2010; Revised September 20, 2011; Published December 09, 2011; Online December 09, 2011

In this study, polynomial functions of orders up to five are applied to induce variations in the cradle radial setting and the velocity ratio in the kinematic scheme of the machine tool for the generation of the pinion tooth surfaces corresponding to reduced transmission error amplitudes of a hypoid gear pair. The new CNC hypoid generators have made it possible to perform this nonlinear correction motions for the cutting of the face-milled hypoid gears. An algorithm is developed for the execution of motions on the CNC hypoid generator for the generation of face-milled hypoid gear tooth surface, based on the machine tool setting variation on the cradle-type hypoid generator induced by the optimal polynomial functions up to fifth-order. By using the corresponding computer program, the motion graphs of the CNC hypoid generator are determined for the generation of hypoid gear tooth surface, 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. The results presented indicate that the variation of the velocity ratio in the kinematic scheme of the hypoid generator induced by a fifth-order polynomial function resulted in a 62% reduction of the maximum transmission error of the gear pair.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 14

Motion graphs of generating motions in function of the swinging base rotation angle

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Figure 4

Motion graphs for the case when the variation in the modified roll for pinion tooth generation is conducted by the same polynomial functions up to fifth-order throughout the whole generation process

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Figure 5

Variation in the modified roll for the generation of pinion teeth conducted by the optimal fifth-order polynomial function

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Figure 6

Motion graphs for the case when the variation in the radial setting is conducted by two different polynomial functions up to fifth-order on the two sides of the initial contact point

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Figure 7

Variation in the cradle radial setting for the generation of pinion teeth conducted by two different fifth-order polynomial functions on the two sides of the initial contact point

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Figure 8

Tooth contact pressure distributions along the “potential” contact lines of tooth pairs in instantaneous contact for 21 positions of meshing members through a mesh cycle

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Figure 9

Tooth contact pattern when the variation in the modified roll for the generation of pinion teeth is conducted by the optimal fifth-order polynomial function

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Figure 10

Tooth contact pattern when the variation in the cradle radial setting for the generation of pinion teeth is conducted by two different fifth-order polynomial functions on the two sides of the initial contact point

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Figure 11

Motion graphs for the CNC hypoid generator for finishing the pinion teeth

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Figure 12

Motion parameter differences caused by the optimal variation in the modified roll

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Figure 13

Motion parameter differences caused by the optimal variation in the cradle radial setting

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Figure 1

Machine tool setting for pinion tooth-surface finishing on cradle-type hypoid generator

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Figure 2

CNC hypoid generator with six degrees-of-freedom

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Figure 3

Machine tool setting for pinion tooth-surface finishing on CNC generator

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