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Research Papers

Advanced Manufacture of Spiral Bevel Gears on CNC Hypoid Generating Machine

[+] Author and Article Information
Vilmos V. Simon

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

J. Mech. Des 132(3), 031001 (Mar 01, 2010) (8 pages) doi:10.1115/1.4001130 History: Received September 22, 2009; Revised December 10, 2009; Published March 01, 2010; Online March 01, 2010

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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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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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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Figure 4

Motion graphs for the CNC hypoid generator for finishing the pinion with tooth number of N1=9

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Figure 5

Motion graphs for the CNC hypoid generator for finishing the pinion with tooth number of N1=13

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Figure 6

Motion graphs for the CNC hypoid generator for finishing the pinion with tooth number of N1=19

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Figure 7

Motion parameter differences caused by the optimal variation in the cradle radial setting in the case of pinion tooth number N1=9

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Figure 8

Motion parameter differences caused by the optimal variation in the cradle radial setting in the case of pinion tooth number N1=13

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Figure 9

Motion parameter differences caused by the optimal variation in the cradle radial setting in the case of pinion tooth number N1=19

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Figure 10

Graphs of translational generation motions in function of the pinion rotational angle in the case of pinion tooth number N1=9

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Figure 11

Graphs of translational generating motions in function of the pinion rotational angle in the case of pinion tooth number N1=13

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Figure 12

Graphs of translational generating motions in function of the pinion rotational angle in the case of pinion tooth number N1=19

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Figure 13

Motion parameter differences caused by the optimal variation in the modified roll in pinion tooth flank generation

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