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 journalArticlepeer-review

10 Citations (Scopus)


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
Issue number9-12
Publication statusPublished - 2019 Oct 1

Bibliographical note

Funding Information:
This research was supported by a grant (No.17IFIP–B067091–05) from the Industrial Facilities and Infrastructure Research Program funded by Ministry of Land, Infrastructure and Transport of Korea government, and was supported by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No.20171510101910)

Publisher Copyright:
© 2019, Springer-Verlag London Ltd., part of Springer Nature.

All Science Journal Classification (ASJC) codes

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


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