Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks

A ring rack meshing with a 3-DOF spherical gear was proposed. The ring rack was composed of two ring-shaped rack tooth surfaces and two spherical tooth surfaces. It can realize the movement and rotation between the plane and the sphere, and theoretically there is no transmission error. According to...

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Main Authors: Liang Yong, Gu Peng, Gao Jianjun, Zhang Litong, Wang Baichao
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2024-11-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.11.012
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author Liang Yong
Gu Peng
Gao Jianjun
Zhang Litong
Wang Baichao
author_facet Liang Yong
Gu Peng
Gao Jianjun
Zhang Litong
Wang Baichao
author_sort Liang Yong
collection DOAJ
description A ring rack meshing with a 3-DOF spherical gear was proposed. The ring rack was composed of two ring-shaped rack tooth surfaces and two spherical tooth surfaces. It can realize the movement and rotation between the plane and the sphere, and theoretically there is no transmission error. According to the meshing principle of the spherical gear and the ring rack, the tooth surface equation and the meshing equation of the ring rack were deduced by using the space transformation theory. Then, according to the structural characteristics of the ring rack, the number of teeth of each layer of the ring rack when meshing with the spherical gear was deduced from the correct meshing conditions of the spherical gear and the arc-shaped teeth of the ring rack. Finally, the kinematics simulation of the ring rack and the meshing efficiency of each layer of the ring rack were calculated, which verified that the structure can transmit power stably. The parametric design of the ring rack provides a structure that enables the conversion of motion and power between the plane and the sphere.
format Article
id doaj-art-1acb85656bee4554a1b4d29ca01d9bc4
institution Kabale University
issn 1004-2539
language zho
publishDate 2024-11-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-1acb85656bee4554a1b4d29ca01d9bc42025-01-10T15:01:53ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392024-11-0148869177639110Design and Meshing Analysis of 3-DOF Spherical Gears and Ring RacksLiang YongGu PengGao JianjunZhang LitongWang BaichaoA ring rack meshing with a 3-DOF spherical gear was proposed. The ring rack was composed of two ring-shaped rack tooth surfaces and two spherical tooth surfaces. It can realize the movement and rotation between the plane and the sphere, and theoretically there is no transmission error. According to the meshing principle of the spherical gear and the ring rack, the tooth surface equation and the meshing equation of the ring rack were deduced by using the space transformation theory. Then, according to the structural characteristics of the ring rack, the number of teeth of each layer of the ring rack when meshing with the spherical gear was deduced from the correct meshing conditions of the spherical gear and the arc-shaped teeth of the ring rack. Finally, the kinematics simulation of the ring rack and the meshing efficiency of each layer of the ring rack were calculated, which verified that the structure can transmit power stably. The parametric design of the ring rack provides a structure that enables the conversion of motion and power between the plane and the sphere.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.11.012Ring rackMeshing equationConjugate tooth surfaceNumber of teethKinematics simulation
spellingShingle Liang Yong
Gu Peng
Gao Jianjun
Zhang Litong
Wang Baichao
Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
Jixie chuandong
Ring rack
Meshing equation
Conjugate tooth surface
Number of teeth
Kinematics simulation
title Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
title_full Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
title_fullStr Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
title_full_unstemmed Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
title_short Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks
title_sort design and meshing analysis of 3 dof spherical gears and ring racks
topic Ring rack
Meshing equation
Conjugate tooth surface
Number of teeth
Kinematics simulation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2024.11.012
work_keys_str_mv AT liangyong designandmeshinganalysisof3dofsphericalgearsandringracks
AT gupeng designandmeshinganalysisof3dofsphericalgearsandringracks
AT gaojianjun designandmeshinganalysisof3dofsphericalgearsandringracks
AT zhanglitong designandmeshinganalysisof3dofsphericalgearsandringracks
AT wangbaichao designandmeshinganalysisof3dofsphericalgearsandringracks