An analytical model of roll bending steel pipe formed by three rollers

Kyu Won Kim, Moon Kyum Kim, Woo Yeon Cho

Research output: Contribution to journalArticle

Abstract

This study proposes an analytical model to predict the final radius of a pipe manufactured using three-roller bending. This model accounts for various parameters such as the strength of the steel sheet, the thickness of the sheet, the sizes of the rollers, and the distance between the bottom rollers. It has been derived in order to calculate the loading stress distribution and residual stress across the thickness of the plate. Equations to estimate the final diameter of the pipe are developed based on calculations of the loading and unloading moments about the neutral axis. The position of the neutral plane is assumed to be identical before and after the plate is bent. The results of the proposed analytical model are compared with those of the numerical analysis to validate it under various conditions. It is observed that the analytical model estimates the final radius to be approximately 15% greater than the numerical analysis.

Original languageEnglish
Pages (from-to)4039-4048
Number of pages10
JournalInternational Journal of Advanced Manufacturing Technology
Volume104
Issue number9-12
DOIs
Publication statusPublished - 2019 Oct 1

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Steel pipe
Analytical models
Numerical analysis
Pipe
Steel sheet
Unloading
Stress concentration
Residual stresses

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

Cite this

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title = "An analytical model of roll bending steel pipe formed by three rollers",
abstract = "This study proposes an analytical model to predict the final radius of a pipe manufactured using three-roller bending. This model accounts for various parameters such as the strength of the steel sheet, the thickness of the sheet, the sizes of the rollers, and the distance between the bottom rollers. It has been derived in order to calculate the loading stress distribution and residual stress across the thickness of the plate. Equations to estimate the final diameter of the pipe are developed based on calculations of the loading and unloading moments about the neutral axis. The position of the neutral plane is assumed to be identical before and after the plate is bent. The results of the proposed analytical model are compared with those of the numerical analysis to validate it under various conditions. It is observed that the analytical model estimates the final radius to be approximately 15{\%} greater than the numerical analysis.",
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An analytical model of roll bending steel pipe formed by three rollers. / Kim, Kyu Won; Kim, Moon Kyum; Cho, Woo Yeon.

In: International Journal of Advanced Manufacturing Technology, Vol. 104, No. 9-12, 01.10.2019, p. 4039-4048.

Research output: Contribution to journalArticle

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