Geometric model of a rolling process for multi-wave tubes

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1 Citation (Scopus)

Abstract

From a geometric viewpoint, this work considers the process of wavy tubes cross-rolling at the precision rolling section as meshing of a pair of conjugate surfaces. This work applies coordinate transformation and envelope theory to determine the spatial set of points for contacting surfaces that define the roller. The proposed method can be used to derive the roller surfaces for cross-rolling and parallel rolling of wavy tube manufacture. The envelope theory and the analytical procedure for the proposed method are presented. Numerical examples are presented to demonstrate the application of the method developed in this paper. The advantages, limitations and potential applications of cross-rolling are briefly reported.

Original languageEnglish
Pages (from-to)533-545
Number of pages13
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume215
Issue number5
DOIs
Publication statusPublished - 2001 Jun 23

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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abstract = "From a geometric viewpoint, this work considers the process of wavy tubes cross-rolling at the precision rolling section as meshing of a pair of conjugate surfaces. This work applies coordinate transformation and envelope theory to determine the spatial set of points for contacting surfaces that define the roller. The proposed method can be used to derive the roller surfaces for cross-rolling and parallel rolling of wavy tube manufacture. The envelope theory and the analytical procedure for the proposed method are presented. Numerical examples are presented to demonstrate the application of the method developed in this paper. The advantages, limitations and potential applications of cross-rolling are briefly reported.",
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AB - From a geometric viewpoint, this work considers the process of wavy tubes cross-rolling at the precision rolling section as meshing of a pair of conjugate surfaces. This work applies coordinate transformation and envelope theory to determine the spatial set of points for contacting surfaces that define the roller. The proposed method can be used to derive the roller surfaces for cross-rolling and parallel rolling of wavy tube manufacture. The envelope theory and the analytical procedure for the proposed method are presented. Numerical examples are presented to demonstrate the application of the method developed in this paper. The advantages, limitations and potential applications of cross-rolling are briefly reported.

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