Mathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel GearsSource: Journal of Mechanical Design:;2020:;volume( 142 ):;issue: 004::page 043301-1Author:Hsu, Ruei-Hung
,
Shih, Yi-Pei
,
Fong, Zhang-Hua
,
Huang, Chin-Lung
,
Chen, Szu-Hung
,
Chen, Shih-Sheng
,
Lee, Yi-Hui
,
Chen, Kuan-Hung
,
Hsu, Tzu-Ping
,
Chen, Wei-Jen
DOI: 10.1115/1.4044433Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Prior to the development of sophisticated computer numerical control (CNC), both face milling (FM) and face hobbing (FH), the two most popular technologies for bevel gear production, required cradle-type machines with diverse and complicated mechanisms. In the last two decades, however, the gear industry has replaced these traditional machines with six-axis CNC bevel gear cutting machines that have superior efficiency and accuracy. One such machine is a vertical six-axis machine with a vertical spindle arrangement, which offers two industrially proven advantages: compact design and maximum machine stiffness. The technical details of this machine, however, remain undisclosed; so, this paper proposes a mathematical model that uses inverse kinematics to derive the vertical machine's nonlinear six-axis coordinates from those of a traditional machine. The model also reduces manufacturing errors by applying an effective flank correction method based on a sensitivity analysis of how slight variations in the individual machine setting coefficients affect tooth geometry. We prove the model's efficacy by first using the proposed equations to derive the nonlinear coordinates for pinion and gear production and then conducting several cutting experiments on the gear and its correction. Although the numerical illustration used for this verification is based only on FM bevel gears produced by an SGDH cutting system, the model is, in fact, applicable in the production of both FM and FH bevel gears.
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contributor author | Hsu, Ruei-Hung | |
contributor author | Shih, Yi-Pei | |
contributor author | Fong, Zhang-Hua | |
contributor author | Huang, Chin-Lung | |
contributor author | Chen, Szu-Hung | |
contributor author | Chen, Shih-Sheng | |
contributor author | Lee, Yi-Hui | |
contributor author | Chen, Kuan-Hung | |
contributor author | Hsu, Tzu-Ping | |
contributor author | Chen, Wei-Jen | |
date accessioned | 2022-02-04T22:54:20Z | |
date available | 2022-02-04T22:54:20Z | |
date copyright | 4/1/2020 12:00:00 AM | |
date issued | 2020 | |
identifier issn | 1050-0472 | |
identifier other | md_142_4_043301.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4275675 | |
description abstract | Prior to the development of sophisticated computer numerical control (CNC), both face milling (FM) and face hobbing (FH), the two most popular technologies for bevel gear production, required cradle-type machines with diverse and complicated mechanisms. In the last two decades, however, the gear industry has replaced these traditional machines with six-axis CNC bevel gear cutting machines that have superior efficiency and accuracy. One such machine is a vertical six-axis machine with a vertical spindle arrangement, which offers two industrially proven advantages: compact design and maximum machine stiffness. The technical details of this machine, however, remain undisclosed; so, this paper proposes a mathematical model that uses inverse kinematics to derive the vertical machine's nonlinear six-axis coordinates from those of a traditional machine. The model also reduces manufacturing errors by applying an effective flank correction method based on a sensitivity analysis of how slight variations in the individual machine setting coefficients affect tooth geometry. We prove the model's efficacy by first using the proposed equations to derive the nonlinear coordinates for pinion and gear production and then conducting several cutting experiments on the gear and its correction. Although the numerical illustration used for this verification is based only on FM bevel gears produced by an SGDH cutting system, the model is, in fact, applicable in the production of both FM and FH bevel gears. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Mathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel Gears | |
type | Journal Paper | |
journal volume | 142 | |
journal issue | 4 | |
journal title | Journal of Mechanical Design | |
identifier doi | 10.1115/1.4044433 | |
journal fristpage | 043301-1 | |
journal lastpage | 043301-12 | |
page | 12 | |
tree | Journal of Mechanical Design:;2020:;volume( 142 ):;issue: 004 | |
contenttype | Fulltext |