Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units

Increasing machining productivity causes the cutting forces acting on tools or workpieces to grow and requires extra clamping forces for their fixation reliably. In the research, a mathematical model of the operation of the clamping mechanism for fixating cylindrical objects on the spindle of machin...

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Autor principal:	Sulym H. T.
Formato:	article
Lenguaje:	EN RU UK
Publicado:	Sumy State University 2021
Materias:	machining clamping drive clamping forces calculation model screw gear Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/c42f5bf277554d45a7e299463ce49f0a
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id	oai:doaj.org-article:c42f5bf277554d45a7e299463ce49f0a
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spelling	oai:doaj.org-article:c42f5bf277554d45a7e299463ce49f0a2021-11-06T11:55:46ZMathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units10.21272/jes.2021.8(1).e42312-24982414-9381https://doaj.org/article/c42f5bf277554d45a7e299463ce49f0a2021-06-01T00:00:00Zhttp://jes.sumdu.edu.ua/wp-content/uploads/2021/06/jes_8_1_2021_E23-E28.pdfhttps://doaj.org/toc/2312-2498https://doaj.org/toc/2414-9381Increasing machining productivity causes the cutting forces acting on tools or workpieces to grow and requires extra clamping forces for their fixation reliably. In the research, a mathematical model of the operation of the clamping mechanism for fixating cylindrical objects on the spindle of machine tools at the stage of tension is presented. The presented design of the mechanism contains screw gear and provides self-braking. Based on the calculation model, mathematical dependencies are developed to describe the relationship among the movements of the parts of the mechanism when clamping forces are growing. The presented analytical dependencies allow considering the stage of growing clamping forces separately when the conservative type of forces are prevailing in the mechanism’s operation. That stage of work when both types of forces of dissipative and potential characters exist is considered. The developed dependencies describe the position of parts of the clamping mechanism depending on the generalized coordinate. The angle of rotation of the input rotating link is used as the generalized coordinate. This fact allows calculating the position of the elements of the clamping mechanism of this type depending on time. Results of the research enhance understanding the pattern of the change in the interaction of the elements and forces that act in the mechanism during the final stage of clamping. The obtained mathematical dependencies are a precondition for the development of design methodology for mechanisms of this type.Sulym H. T.Sumy State Universityarticlemachiningclamping driveclamping forcescalculation modelscrew gearEngineering (General). Civil engineering (General)TA1-2040ENRUUKЖурнал інженерних наук, Vol 8, Iss 1, Pp E23-E28 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	machining clamping drive clamping forces calculation model screw gear Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	machining clamping drive clamping forces calculation model screw gear Engineering (General). Civil engineering (General) TA1-2040 Sulym H. T. Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
description	Increasing machining productivity causes the cutting forces acting on tools or workpieces to grow and requires extra clamping forces for their fixation reliably. In the research, a mathematical model of the operation of the clamping mechanism for fixating cylindrical objects on the spindle of machine tools at the stage of tension is presented. The presented design of the mechanism contains screw gear and provides self-braking. Based on the calculation model, mathematical dependencies are developed to describe the relationship among the movements of the parts of the mechanism when clamping forces are growing. The presented analytical dependencies allow considering the stage of growing clamping forces separately when the conservative type of forces are prevailing in the mechanism’s operation. That stage of work when both types of forces of dissipative and potential characters exist is considered. The developed dependencies describe the position of parts of the clamping mechanism depending on the generalized coordinate. The angle of rotation of the input rotating link is used as the generalized coordinate. This fact allows calculating the position of the elements of the clamping mechanism of this type depending on time. Results of the research enhance understanding the pattern of the change in the interaction of the elements and forces that act in the mechanism during the final stage of clamping. The obtained mathematical dependencies are a precondition for the development of design methodology for mechanisms of this type.
format	article
author	Sulym H. T.
author_facet	Sulym H. T.
author_sort	Sulym H. T.
title	Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
title_short	Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
title_full	Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
title_fullStr	Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
title_full_unstemmed	Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
title_sort	mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units
publisher	Sumy State University
publishDate	2021
url	https://doaj.org/article/c42f5bf277554d45a7e299463ce49f0a
work_keys_str_mv	AT sulymht mathematicalmodelofthetensioninginthecolletclampingmechanismwiththerotarymovableinputlinkonspindleunits
_version_	1718443695007596544

Mathematical model of the tensioning in the collet clamping mechanism with the rotary movable input link on spindle units

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