A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive

A generalized method for the meshing analysis of conical worm drive is proposed, whose mathematical model is more general and whose application scope is expanded. A universal mathematical model, which can be conveniently applied to left-handed and right-handed conical worm pairs and their tooth flan...

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Autores principales:	Chongfei Huai, Chunlin Chen, Yaping Zhao
Formato:	article
Lenguaje:	EN
Publicado:	SAGE Publishing 2021
Materias:	Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/c7a2fd3b5d02443f9586b34f4869f8a7
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spelling	oai:doaj.org-article:c7a2fd3b5d02443f9586b34f4869f8a72021-12-02T03:33:47ZA generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive1687-814010.1177/16878140211063025https://doaj.org/article/c7a2fd3b5d02443f9586b34f4869f8a72021-11-01T00:00:00Zhttps://doi.org/10.1177/16878140211063025https://doaj.org/toc/1687-8140A generalized method for the meshing analysis of conical worm drive is proposed, whose mathematical model is more general and whose application scope is expanded. A universal mathematical model, which can be conveniently applied to left-handed and right-handed conical worm pairs and their tooth flanks on different sides, is established by introducing the helical spin coefficient and tooth side coefficient of the conical worm. The pressure angle at the reference point, which is a key parameter for calculating the curvature parameters and lubrication angle, is determined based on the unit normal vector of the worm helical surface and is no longer determined by the tooth profile angle in the worm shaft section. The above improvement breaks away from the limitation of the classic meshing analysis method based on the reference-point-based meshing theory and thus expands its application scope. The toroidal surface enveloping conical worm drive is taken as an instance to illustrate the proposed method and the numerical example studies are conducted. The approaches to determine the reference point, the normal unit vector, and the curvature parameters at the reference point are all demonstrated in detail. The numerical results all manifest that the method presented in the current work is correct and practicable.Chongfei HuaiChunlin ChenYaping ZhaoSAGE PublishingarticleMechanical engineering and machineryTJ1-1570ENAdvances in Mechanical Engineering, Vol 13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mechanical engineering and machinery TJ1-1570
spellingShingle	Mechanical engineering and machinery TJ1-1570 Chongfei Huai Chunlin Chen Yaping Zhao A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
description	A generalized method for the meshing analysis of conical worm drive is proposed, whose mathematical model is more general and whose application scope is expanded. A universal mathematical model, which can be conveniently applied to left-handed and right-handed conical worm pairs and their tooth flanks on different sides, is established by introducing the helical spin coefficient and tooth side coefficient of the conical worm. The pressure angle at the reference point, which is a key parameter for calculating the curvature parameters and lubrication angle, is determined based on the unit normal vector of the worm helical surface and is no longer determined by the tooth profile angle in the worm shaft section. The above improvement breaks away from the limitation of the classic meshing analysis method based on the reference-point-based meshing theory and thus expands its application scope. The toroidal surface enveloping conical worm drive is taken as an instance to illustrate the proposed method and the numerical example studies are conducted. The approaches to determine the reference point, the normal unit vector, and the curvature parameters at the reference point are all demonstrated in detail. The numerical results all manifest that the method presented in the current work is correct and practicable.
format	article
author	Chongfei Huai Chunlin Chen Yaping Zhao
author_facet	Chongfei Huai Chunlin Chen Yaping Zhao
author_sort	Chongfei Huai
title	A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
title_short	A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
title_full	A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
title_fullStr	A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
title_full_unstemmed	A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
title_sort	generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive
publisher	SAGE Publishing
publishDate	2021
url	https://doaj.org/article/c7a2fd3b5d02443f9586b34f4869f8a7
work_keys_str_mv	AT chongfeihuai ageneralizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive AT chunlinchen ageneralizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive AT yapingzhao ageneralizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive AT chongfeihuai generalizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive AT chunlinchen generalizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive AT yapingzhao generalizedmeshinganalysismethodanditsapplicationtotoroidalsurfaceenvelopingconicalwormdrive
_version_	1718401758738251776

A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive

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