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

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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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Funding

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)

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Authors and Affiliations

  1. School of Civil and Environmental Engineering, College of Engineering, Yonsei University, 50, Yonsei-ro, Seodaemun-gu, Seoul, 03722, South Korea

    Kyu Won Kim & Moon Kyum Kim

  2. Steel Structure Research Group, POSCO, 100, Songdogwahak-ro, Yeonsu-gu, Incheon, 21985, South Korea

    Woo Yeon Cho

Authors
  1. Kyu Won Kim
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  2. Moon Kyum Kim
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  3. Woo Yeon Cho
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Correspondence to Kyu Won Kim.

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Kim, K.W., Kim, M.K. & Cho, W.Y. An analytical model of roll bending steel pipe formed by three rollers. Int J Adv Manuf Technol 104, 4039–4048 (2019). https://doi.org/10.1007/s00170-019-04183-2

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  • DOI: https://doi.org/10.1007/s00170-019-04183-2

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