Abstract
Taking the eleven cross-roll tube straightening process as the research object, the process of single bending, springback deformation, and residual deformation of the steel tube is deduced. For the micro-beam segment, the bending times of the tube during the whole straightening process are calculated according to bending two times for one rotating circle. By means of the cubic spline function, taking the characteristic points of contact between the tube and the straightening roller as the parameters, the displacement function of the tube bending state is obtained. Based on the obtained function, the reverse bending curvatures at any position are obtained. Taking the residual curvature of the previous bending as the initial curvature of the next bending, the repeating bending process and springback process for the micro-beam segment are iteratively calculated, and the final residual curvature of the micro-beam segment is calculated. Then, the final straightening precision is obtained. By comparing with the field data, the straightening precision model is proved to be effective. Finally, by comparing with the six cross-roll straightening process, it is proved that the eleven cross-roll straightening has higher straightening precision.
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The data used to support the findings of this study are available from the corresponding author upon request.
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Funding
This work was supported by National Key R&D Program of China (grant number 2018YFB1308700), Applied Basic Research Programs of Shanxi Province (grant number 201901D111244, 201901D211311), and Major Science and Technology Projects of Shanxi Province (grant number 20181102016).
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Ma, L., Liu, Z., Ma, L. et al. Analysis of eleven cross-roll straightening process of steel tube based on cubic spline function and continuous bending elastic-plastic theory. Int J Adv Manuf Technol 112, 3235–3245 (2021). https://doi.org/10.1007/s00170-020-06431-2
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DOI: https://doi.org/10.1007/s00170-020-06431-2