Multi-Objective Optimization of Loading Paths for Double-Layered Tube Hydroforming using Finite Element Analysis

Subject Areas : metal forming

Hamed Ebrahimi Keshmarzi ¹ , Ramin Hashemi ² , Reza Madoliat ³

1 - School of Mechanical Engineering, Iran University of Science and Technology, Iran
2 - School of Mechanical Engineering, Iran University of Science and Technology, Iran
3 - School of Mechanical Engineering, Iran University of Science and Technology, Iran

Received: 2018-06-05 Accepted : 2018-11-19 Published : 2019-03-01

Keywords: Loading Path, Finite Element Method, Multi-Layered Tube, Multi-Objective Optimization, Regression Analysis, Tube Hydroforming,

Abstract :

One of the most important studies in tube hydroforming process is optimization of loading paths. The primary purpose of this research is to maximize formability by detecting the optimal forming parameters. The most significant settings in the prosperity of tube hydroforming process, are internal pressure and end axial feed (i.e., load path). In this paper, a finite element analysis was performed for a double-layered tube hydroforming process using the ABAQUS/Explicit software. Then, the finite element model has been verified with published experimental data. Using design of experiments (DOE) working with the Taguchi method, 32 loading paths are designed for optimization. All 32 loading paths are modelled using the finite element method in ABAQUS/Explicit and the magnitudes of bulge height and the total thickness of tubes at the branch tip are obtained in each loading path. The regression analysis is carried out to estimate the tubes formability and obtain objective functions that are bulge height and the total thickness of tubes at the protrusion peak as functions of loading parameters (internal pressure and axial feed). For solving the multi-objective optimization problem, the non-dominated sorting genetic algorithm II (NSGA-II) is utilized and the optimum results were obtained from the Pareto optimal front. Finally, the optimized loading path was applied to the finite element model and better formability (3.4% increase in the bulge height) has been achieved in the results.

References:

[1]     Alaswad, A., Benyounis, K. Y., and Olabi, A. G., Tube Hydroforming Process: A Reference Guide, Journal of Materials and Design, Vol. 33, 2012, pp. 328-339.

[2]     Ahmetoglu, M., Altan, T., Tube Hydroforming: State-of-the-Art and Future Trends, Journal of Materials Processing Technology, Vol. 98, No. 1, 2000, pp. 25-33.

[3]     Hashemi, R., Faraji, G., Abrinia, K., and Dizaji, A. F., Application of the Hydroforming Strain-and Stress-Limit Diagrams to Predict Necking in Metal Bellows Forming Process, The International Journal of Advanced Manufacturing Technology, Vol. 46, No. 5, 2010, pp. 551-561.

[4]     Huang, T., Song, X., and Liu, M., The Multi-Objective Optimization of the Loading Paths for T-Shape Tube Hydroforming Using Adaptive Support Vector Regression, The International Journal of Advanced Manufacturing Technology, Vol. 88, No. 9, 2017, pp. 3447-3458.

[5]     Liu, F., Zheng, J., Xu, P., Xu, M., and Zhu, G., Forming Mechanism of Double-Layered Tubes by Internal Hydraulic Expansion, International Journal of Pressure Vessels and Piping, Vol. 81, No. 7, 2004, pp. 625-633.

[6]     Wang, X., Li, P., and Wang, R., Study on Hydro-Forming Technology of Manufacturing Bimetallic CRA-Lined Pipe, International Journal of Machine Tools and Manufacture, Vol. 45, No. 4, 2005, pp. 373-378.

[7]     Yingyot, A., Gracious, N., and Altan, T., Optimizing Tube Hydroforming Using Process Simulation and Experimental Verification, Journal of Materials Processing Technology, Vol. 146, No. 1, 2004, pp. 137-143.

[8]     Aydemir, A., De Vree, J. H. P., Brekelmans, W. A. M., Geers, M. G. D., Sillekens, W. H., and Werkhoven, R. J., An Adaptive Simulation Approach Designed for Tube Hydroforming Processes, Journal of Materials Processing Technology, Vol. 159, No. 3, 2005, pp. 303-310.

[9]     Ingarao, G., Di Lorenzo, R., and Micari, F., Internal Pressure and Counterpunch Action Design in Y-Shaped Tube Hydroforming Processes: A Multi-Objective Optimisation Approach, Computers and Structures, Vol. 87, No. 9, 2009, pp. 591-602.

[10]  Abedrabbo, N., Worswick, M., Mayer, R., and Van Riemsdijk, I., Optimization Methods for the Tube Hydroforming Process Applied to Advanced High-Strength Steels with Experimental Verification, Journal of Materials Processing Technology, Vol. 209, No. 1, 2009, pp. 110-123.

[11]  Di Lorenzo, R., Ingarao, G., and Chinesta, F., Integration of Gradient Based and Response Surface Methods to Develop a Cascade Optimisation Strategy for Y-Shaped Tube Hydroforming Process Design, Advances in Engineering Software, Vol. 41, No. 2, 2010, pp. 336-348.

[12]  Kadkhodayan, M., Erfani Moghadam, A., Optimization of Load Paths in X- and Y-Shaped Hydroforming, International Journal of Material Forming, Vol. 6, No. 1, 2013, pp. 75-91.

[13]  Shu-hui, L., Bing, Y., Wei-gang, Z., and Zhong-qin, L., Loading Path Prediction for Tube Hydroforming Process Using a Fuzzy Control Strategy, Materials and Design, Vol. 29, No. 6, 2008, pp. 1110-1116.

[14]  Mirzaali, M., Seyedkashi, S. M. H., Liagha.t G. H., Moslmi Naeini, H., Shojaee, G., and Moon, Y. H., Application of Simulated Annealing Method to Pressure and Force Loading Optimization in Tube Hydroforming Process, International Journal of Mechanical Sciences, Vol. 55, No. 1, 2012, pp. 78-84.

[15]  Ge, Y., Li, X., Lang, L., and Ruan, S., Optimized Design of Tube Hydroforming Loading Path Using Multi-Objective Differential Evolution, The International Journal of Advanced Manufacturing Technology, Vol. 88, No. 1, 2017, pp. 837-846.

[16]  Alaswad, A., Benyounis, K. Y., and Olabi, A. G., Employment of Finite Element Analysis and Response Surface Methodology to Investigate the geometrical factors in T-type Bi-Layered Tube Hydroforming, Advances in Engineering Software, Vol. 42, No. 11, 2011, pp. 917-926.

[17]  Olabi, A. G., Alaswad, A., Experimental and Finite Element Investigation of Formability and Failures in Bi-Layered Tube Hydroforming, Advances in Engineering Software, Vol. 42, No. 10, 2011, pp. 815-820.

[18]  Shinde, R. A., Patil, B. T., and Joshi, K. N., Optimization of Tube Hydroforming Process (without Axial Feed) by Using FEA Simulations, Procedia Technology, Vol. 23, 2016, pp. 398-405.

[19]  Kim, J., Kang, S., and Kang, B., A Prediction of Bursting Failure in Tube Hydroforming Processes Based on Ductile Fracture Criterion, The International Journal of Advanced Manufacturing Technology, Vol. 22, No. 5, 2003, pp. 357-362.

[20]  Mahboubkhah, M., Determination of the Forming Limit Ddiagrams by Using the Fem and Experimental Method, Journal of Mechanical Science and Technology, Vol. 27, No. 5, 2013, pp. 1437-1442.

[21]  Liu, G., Peng, J., Yuan, S., Teng, B., and Li, K., Analysis on Critical Conditions of Sidewall Wrinkling for Hydroforming of Thin-Walled Tee-Joint, International Journal of Machine Tools & Manufacture, Vol. 97, 2015, pp. 42-49.

[22]  Yusoff, Y., Ngaiman, M. S., and Zain, A. M., Overview of NSGA-II for Optimizing Machining Process Parameters, Procedia Engineering, Vol. 15, 2011, pp. 3978-3983.

[23]  Torabi, S. H. R., Alibabaei, S., Barooghi Bonab, B., Sadeghi, M. H., and Faraji, G., Design and Optimization of Turbine Blade Preform Forging Using RSM and NSGA II, Journal of Intelligent Manufacturing, Vol. 28, No. 6, 2017, pp. 1409-1419.

[24]  Hashemi, R., Assempour, A., Khalil Abad, E. M., Implementation of the Forming Limit Stress Diagram to Obtain Suitable Load Path in Tube Hydroforming Considering M–K Model, Materials & Design, Vol. 30, No. 9, 2009, pp. 3545-3553.

[25]  Khalil Abad, E. M., Ghazanfari, A., Hashemi, R., Loading Path Determination for Tube Hydroforming Process of Automotive Component Using APDL, International Journal of Automotive Engineering, Vol. 3, No. 4, 2013, pp. 555-563.