Selection of worm gearing optimal structure for machine rotary table

In this paper, the design of the machine rotary table with a kinematic worm gearing is research. A three-dimensional model of the rotary table assembly structure and the stress-strain state of the worm by the finite element method are researched. Optimization of the worm gearing design with a helico...

Full description

Bibliographic Details
Main Authors: Oleg Krol, Volodymyr Sokolov
Format: Article
Language:English
Published: Polskie Towarzystwo Diagnostyki Technicznej 2021-01-01
Series:Diagnostyka
Subjects:
Online Access:http://www.diagnostyka.net.pl/Selection-of-worm-gearing-optimal-structure-for-machine-rotary-table,129949,0,2.html
_version_ 1818019066035568640
author Oleg Krol
Volodymyr Sokolov
author_facet Oleg Krol
Volodymyr Sokolov
author_sort Oleg Krol
collection DOAJ
description In this paper, the design of the machine rotary table with a kinematic worm gearing is research. A three-dimensional model of the rotary table assembly structure and the stress-strain state of the worm by the finite element method are researched. Optimization of the worm gearing design with a helicoidally worm as a multivariate problem of optimizing the total minimum length of contact lines in a worm engagement is presented. A feature of this article is the search for such a combination of worm gear input parameters that optimize the characteristics of contact lines by the criterion of minimum contact stresses. As a limiting factor for the criterion of contact length, the coefficient of oscillation is taken. The nature of the extremal function of the contact length depending on the values of the variable’s derivative reflecting the influence of the number of worm threads and the gear ratio is investigated. The effect of the shifting coefficient with the optimal search for the maximum contact length within the standard values of the worm diameter coefficient is shown. An algorithm and an analytical form for the development of a more advanced worm gearing with increased efficiency are proposed.
first_indexed 2024-04-14T07:47:32Z
format Article
id doaj.art-f2426d9130974fa78000c7fb25b834d8
institution Directory Open Access Journal
issn 2449-5220
language English
last_indexed 2024-04-14T07:47:32Z
publishDate 2021-01-01
publisher Polskie Towarzystwo Diagnostyki Technicznej
record_format Article
series Diagnostyka
spelling doaj.art-f2426d9130974fa78000c7fb25b834d82022-12-22T02:05:18ZengPolskie Towarzystwo Diagnostyki TechnicznejDiagnostyka2449-52202021-01-0122131010.29354/diag/129949129949Selection of worm gearing optimal structure for machine rotary tableOleg Krol0https://orcid.org/0000-0003-0193-2750Volodymyr Sokolov1https://orcid.org/0000-0003-0459-1824Volodymyr Dahl East Ukrainian National UniversityVolodymyr Dahl East Ukrainian National UniversityIn this paper, the design of the machine rotary table with a kinematic worm gearing is research. A three-dimensional model of the rotary table assembly structure and the stress-strain state of the worm by the finite element method are researched. Optimization of the worm gearing design with a helicoidally worm as a multivariate problem of optimizing the total minimum length of contact lines in a worm engagement is presented. A feature of this article is the search for such a combination of worm gear input parameters that optimize the characteristics of contact lines by the criterion of minimum contact stresses. As a limiting factor for the criterion of contact length, the coefficient of oscillation is taken. The nature of the extremal function of the contact length depending on the values of the variable’s derivative reflecting the influence of the number of worm threads and the gear ratio is investigated. The effect of the shifting coefficient with the optimal search for the maximum contact length within the standard values of the worm diameter coefficient is shown. An algorithm and an analytical form for the development of a more advanced worm gearing with increased efficiency are proposed.http://www.diagnostyka.net.pl/Selection-of-worm-gearing-optimal-structure-for-machine-rotary-table,129949,0,2.html3d modelcontact stresscontact lineworm engagementworkpiece turning mechanism
spellingShingle Oleg Krol
Volodymyr Sokolov
Selection of worm gearing optimal structure for machine rotary table
Diagnostyka
3d model
contact stress
contact line
worm engagement
workpiece turning mechanism
title Selection of worm gearing optimal structure for machine rotary table
title_full Selection of worm gearing optimal structure for machine rotary table
title_fullStr Selection of worm gearing optimal structure for machine rotary table
title_full_unstemmed Selection of worm gearing optimal structure for machine rotary table
title_short Selection of worm gearing optimal structure for machine rotary table
title_sort selection of worm gearing optimal structure for machine rotary table
topic 3d model
contact stress
contact line
worm engagement
workpiece turning mechanism
url http://www.diagnostyka.net.pl/Selection-of-worm-gearing-optimal-structure-for-machine-rotary-table,129949,0,2.html
work_keys_str_mv AT olegkrol selectionofwormgearingoptimalstructureformachinerotarytable
AT volodymyrsokolov selectionofwormgearingoptimalstructureformachinerotarytable