Profile determination of a tube-straightening roller by envelope theory

Ke Yang Li, Cha'o Kuang Chen, Hsueh-Cheng Yang Yang

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

A simple method by applying envelope theory to determine the profile of a tube-straightening roller has been studied. The roller profile is defined as the envelope of a three-parameter family of spatial curves. The three parameters are rotation, translation and rotation, which generate by their motions the spatial curves. The envelope theory is utilized by an implicit function. To avoid undercutting of the surface of the straightening roller, principal curvatures and contact lines are analyzed. It is found that a spherical-end cutter is needed in making the roller. The radius of the spherical-end cutter is similar to that of the radius of the tube. Due to available mathematical software, the complete contour of the tube-straightening roller can be simulated using a personal computer, as shown in this paper.

Original languageEnglish
Pages (from-to)157-166
Number of pages10
JournalJournal of Materials Processing Technology
Volume94
Issue number2
DOIs
Publication statusPublished - 1999 Sep 29

Fingerprint

Straightening
Personal computers

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Computer Science Applications
  • Metals and Alloys
  • Industrial and Manufacturing Engineering

Cite this

@article{3321b7bbb5704b45a85aa05db407807a,
title = "Profile determination of a tube-straightening roller by envelope theory",
abstract = "A simple method by applying envelope theory to determine the profile of a tube-straightening roller has been studied. The roller profile is defined as the envelope of a three-parameter family of spatial curves. The three parameters are rotation, translation and rotation, which generate by their motions the spatial curves. The envelope theory is utilized by an implicit function. To avoid undercutting of the surface of the straightening roller, principal curvatures and contact lines are analyzed. It is found that a spherical-end cutter is needed in making the roller. The radius of the spherical-end cutter is similar to that of the radius of the tube. Due to available mathematical software, the complete contour of the tube-straightening roller can be simulated using a personal computer, as shown in this paper.",
author = "Li, {Ke Yang} and Chen, {Cha'o Kuang} and Yang, {Hsueh-Cheng Yang}",
year = "1999",
month = "9",
day = "29",
doi = "10.1016/S0924-0136(99)00089-8",
language = "English",
volume = "94",
pages = "157--166",
journal = "Journal of Materials Processing Technology",
issn = "0924-0136",
publisher = "Elsevier BV",
number = "2",

}

Profile determination of a tube-straightening roller by envelope theory. / Li, Ke Yang; Chen, Cha'o Kuang; Yang, Hsueh-Cheng Yang.

In: Journal of Materials Processing Technology, Vol. 94, No. 2, 29.09.1999, p. 157-166.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Profile determination of a tube-straightening roller by envelope theory

AU - Li, Ke Yang

AU - Chen, Cha'o Kuang

AU - Yang, Hsueh-Cheng Yang

PY - 1999/9/29

Y1 - 1999/9/29

N2 - A simple method by applying envelope theory to determine the profile of a tube-straightening roller has been studied. The roller profile is defined as the envelope of a three-parameter family of spatial curves. The three parameters are rotation, translation and rotation, which generate by their motions the spatial curves. The envelope theory is utilized by an implicit function. To avoid undercutting of the surface of the straightening roller, principal curvatures and contact lines are analyzed. It is found that a spherical-end cutter is needed in making the roller. The radius of the spherical-end cutter is similar to that of the radius of the tube. Due to available mathematical software, the complete contour of the tube-straightening roller can be simulated using a personal computer, as shown in this paper.

AB - A simple method by applying envelope theory to determine the profile of a tube-straightening roller has been studied. The roller profile is defined as the envelope of a three-parameter family of spatial curves. The three parameters are rotation, translation and rotation, which generate by their motions the spatial curves. The envelope theory is utilized by an implicit function. To avoid undercutting of the surface of the straightening roller, principal curvatures and contact lines are analyzed. It is found that a spherical-end cutter is needed in making the roller. The radius of the spherical-end cutter is similar to that of the radius of the tube. Due to available mathematical software, the complete contour of the tube-straightening roller can be simulated using a personal computer, as shown in this paper.

UR - http://www.scopus.com/inward/record.url?scp=0033615120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033615120&partnerID=8YFLogxK

U2 - 10.1016/S0924-0136(99)00089-8

DO - 10.1016/S0924-0136(99)00089-8

M3 - Article

AN - SCOPUS:0033615120

VL - 94

SP - 157

EP - 166

JO - Journal of Materials Processing Technology

JF - Journal of Materials Processing Technology

SN - 0924-0136

IS - 2

ER -