Abstract
The rotary draw bending of thin-walled rectangular tube is a complex process with multi-nonlinearity under multi-die constraints. The constraints of various dies on the cross-section distortion ratio are studied by experiment and the friction coefficients are obtained by twist-compression test. It is found that the effects of bend die, mandrel die and pressure die on cross-section distortion are significant. The significant influencing factors include bend angle, bend radius, clamp pressure, core number and the boost velocity. A three-dimensional finite-elements model of this process is built under the ABAQUS/explicit environment based on the solution of several key techniques, such as model creation, material properties definition, contact boundary condition treating, meshing technology, and it is validated to be credible. Furthermore, the orthogonal experimental design is used to investigate the interactive effects of friction on cross-section distortion ratio, and the optimal combination is obtained.
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Abbreviations
- R:
-
bend radius
- h:
-
the height of rectangular tube before bent
- hmin:
-
the height of tube before bent
- t :
-
thickness of tube
- e max :
-
thickness of tube
- e :
-
mandrel extension
- µ:
-
friction coefficient in tube-die interface
- ν :
-
Poisson’s ratio
References
Yang, H., Zhan, M., Liu, Y. L., Xian, F., Sun, Z., and et al., “Some Advanced Plastic Processing Technologies and Their Numerical Simulation,” Journal of Materials Processing Technology, Vol. 151, No. 1, pp. 63–69, 2004.
Lou, H. and Stelson, K. A., “Three-Dimensional Tube Geometry Control for Rotary Draw Tube Bending, Part 1: Bend Angle and Overall Tube Geometry Control,” Journal of Manufacturing Science and Engineering, Vol. 123, No. 2, pp. 258–265, 2001.
Lou, H. and Stetson, K. A., “Three-Dimensional Tube Geometry Control for Rotary Draw Tube Bending, Part 2: Statistical Tube Tolerance Analysis and Adaptive Bend Correction,” Journal of Manufacturing Science and Engineering, Vol. 123, No. 2, pp. 266–271, 2001.
Welo, T., Paulsen, F., and Brobak, T. J., “The Behaviour of Thin-Walled, Aluminium Alloy Profiles in Rotary Draw Bending A Comparison between Numerical and Experimental Results,” Journal of Materials Processing Technology, Vol. 45, No. 1–4, pp. 173–180, 1994.
Rhodes, J., “Buckling of Thin Plates and Membersand Early Work on Rectangular Tubes,” Thin-Walled Structures, Vol. 40, No. 2, pp. 87–108, 2002.
Dong, Y., Yang, Y., and Zhao, L., “Research on the Relationship between the Number of Rotary Draw Bendings and the Shape Precision of a Bent hat-Section Profile,” Journal of Materials Processing Technology, Vol. 151, No. 1, pp. 307–311, 2004.
Jeong, H. S., Jeon, J. W., Ha, M. Y., and Cho, J. R., “Finite Element Analysis for Inconel 625 Fine Tube Bending to Predict Deformation Characteristics,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 8, pp. 1395–1401, 2012.
Jeong, H. S., Ha, M. Y., and Cho, J. R., “Theoretical and FE Analysis for Inconel 625 Fine Tube Bending to Predict Springback,” Int. J. Precis. Eng. Manuf., Vol. 13, No. 12, pp. 2143–2148, 2012.
Tang, N. C., “Plastic-Deformation Analysis in Tube Bending,” International Journal of Pressure Vessels and Piping, Vol. 77, No. 12, pp. 751–759, 2000.
Joun, M. S., Moon, H. G., Choi, I. S., Lee, M. C., and Jun, B. Y., “Effects of Friction Laws on Metal Forming Processes,” Tribology International, Vol. 42, No. 2, pp. 311–319, 2009.
Yang, H., Li, H., and Zhan, M., “Friction Role in Bending Behaviors of Thin-Walled Tube in Rotary-Draw-Bending under Small Bending Radii,” Journal of Materials Processing Technology, Vol. 210, No. 15, pp. 2273–2284, 2010.
Li, H., Yang, H., Zhan, M., and Gu, R. J., “Forming Characteristics of Thin-Walled Tube Bending Process with Small Bending Radius,” Transactions of Nonferrous Metals Society of China, Vol. 16, No. 2, pp. 613–623, 2006.
Heng, L., He, Y., Mei, Z., Zhichao, S., and Ruijie, G., “Role of Mandrel in NC Precision Bending Process of Thin-Walled Tube,” International Journal of Machine Tools and Manufacture, Vol. 47, No. 7–8, pp. 1164–1175, 2007.
Li, H., Yang, H., Song, F. F., and Li, G. J., “Springback Nonlinearity of High-Strength Titanium Alloy Tube upon Mandrel Bending,” Int. J. Precis. Eng. Manuf., Vol. 14, No. 3, pp. 429–438, 2013.
Oliveira, D. A., Worswick, M. J., and Grantab, R. “Effect of Lubricant in Mandrel-Rotary Draw Tube Bending of Steel and Aluminum,” Canadian Metallurgical Quarterly, Vol.44, No. 1, pp.71–78, 2005
Zhao, G. Y., Liu, Y. L., Yang, H., Lu, C. H., and Gu, R. J., “Three-Dimensional Finite-Elements Modeling and Simulation of Rotary-Draw Bending Process for Thin-Walled Rectangular Tube,” Materials Science and Engineering: A, Vol. 499, No. 1–2, pp. 257–261, 2009.
Zhao G. Y., Liu Y. L, Lu C. H., and Yang H., “Influence of Friction on Cross-Sectional Distortion in Rotary Draw Bending Process of Thin-Walled Rectangular Tube,” Advanced Technology of Plasticity, Paper No. n407, 2008.
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Liu, K., Liu, Y. & Yang, H. Experimental and FE simulation study on cross-section distortion of rectangular tube under multi-die constraints in rotary draw bending process. Int. J. Precis. Eng. Manuf. 15, 633–641 (2014). https://doi.org/10.1007/s12541-014-0381-2
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DOI: https://doi.org/10.1007/s12541-014-0381-2