Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm

Since the helical surface of the toroidal worm is a complex space surface with variable-lead, the design method and high-efficiency machining method for the consistency rough machining allowance of the toroidal worm are not perfect, which is not conducive to improving the grinding efficiency and qua...

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Main Authors: Chengjie RUI, Jinyou XU, Xia LI
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2022-01-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/16/1/16_2022jamdsm0011/_pdf/-char/en
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author Chengjie RUI
Jinyou XU
Xia LI
author_facet Chengjie RUI
Jinyou XU
Xia LI
author_sort Chengjie RUI
collection DOAJ
description Since the helical surface of the toroidal worm is a complex space surface with variable-lead, the design method and high-efficiency machining method for the consistency rough machining allowance of the toroidal worm are not perfect, which is not conducive to improving the grinding efficiency and quality of the toroidal worm. Aiming at the design and processing of the toroidal worm roughing allowance, this paper studies the design method of the toroidal worm roughing allowance surface, and proposes a machining method of the allowance surface used in an ordinary CNC lathe. First, according to the forming principle of the dual-cone enveloping toroidal worm, the helical surfaces of the multi-thread toroidal worm with a given throat tooth thickness are established. Then, each point on the helical surface is rotated by an allowance angle around the axis of the worm, and the mathematical model of the roughing allowance surface is established by setting the arc length of each point rotation equally. The designed allowance surface is discretized into a series of helical lines, and a series of helical lines are discretized into points. The cone helical line interpolation is used between two adjacent points for turning the allowance surface based on an ordinary CNC lathe. Based on the axial indexing method, different helical lines can be machined by adjusting the starting points X and Z of the tool when processing helical surfaces at different positions. Through research, the allowance equalization and rough machining of the variable-lead enveloping helical surface are realized, which provides a new method for the processing of complex and special-shaped helical surfaces.
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spelling doaj.art-c3d350b97b464f37871ff0e79967ccfb2022-12-22T03:01:51ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542022-01-01161JAMDSM0011JAMDSM001110.1299/jamdsm.2022jamdsm0011jamdsmResearch on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal wormChengjie RUI0Jinyou XU1Xia LI2Tianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of TechnologyNational Demonstration Center for Experimental Mechanical and Electrical Engineering Education (Tianjin University of Technology)National Demonstration Center for Experimental Mechanical and Electrical Engineering Education (Tianjin University of Technology)Since the helical surface of the toroidal worm is a complex space surface with variable-lead, the design method and high-efficiency machining method for the consistency rough machining allowance of the toroidal worm are not perfect, which is not conducive to improving the grinding efficiency and quality of the toroidal worm. Aiming at the design and processing of the toroidal worm roughing allowance, this paper studies the design method of the toroidal worm roughing allowance surface, and proposes a machining method of the allowance surface used in an ordinary CNC lathe. First, according to the forming principle of the dual-cone enveloping toroidal worm, the helical surfaces of the multi-thread toroidal worm with a given throat tooth thickness are established. Then, each point on the helical surface is rotated by an allowance angle around the axis of the worm, and the mathematical model of the roughing allowance surface is established by setting the arc length of each point rotation equally. The designed allowance surface is discretized into a series of helical lines, and a series of helical lines are discretized into points. The cone helical line interpolation is used between two adjacent points for turning the allowance surface based on an ordinary CNC lathe. Based on the axial indexing method, different helical lines can be machined by adjusting the starting points X and Z of the tool when processing helical surfaces at different positions. Through research, the allowance equalization and rough machining of the variable-lead enveloping helical surface are realized, which provides a new method for the processing of complex and special-shaped helical surfaces.https://www.jstage.jst.go.jp/article/jamdsm/16/1/16_2022jamdsm0011/_pdf/-char/entoroidal wormroughing allowanceturning methodenveloping surfacehelical line
spellingShingle Chengjie RUI
Jinyou XU
Xia LI
Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
Journal of Advanced Mechanical Design, Systems, and Manufacturing
toroidal worm
roughing allowance
turning method
enveloping surface
helical line
title Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
title_full Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
title_fullStr Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
title_full_unstemmed Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
title_short Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm
title_sort research on equaling design and machining method of roughing allowances of a dual cone enveloping toroidal worm
topic toroidal worm
roughing allowance
turning method
enveloping surface
helical line
url https://www.jstage.jst.go.jp/article/jamdsm/16/1/16_2022jamdsm0011/_pdf/-char/en
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AT jinyouxu researchonequalingdesignandmachiningmethodofroughingallowancesofadualconeenvelopingtoroidalworm
AT xiali researchonequalingdesignandmachiningmethodofroughingallowancesofadualconeenvelopingtoroidalworm