Abstract
In order to form the needed prolate ellipsoidal shell with higher dimension accuracy, it is essential to develop an optimal pre-form shape before hydro-forming. A group of numerical simulation according to the optimal Latin hypercube design (Opt LHD) was first conducted on the combined prolate ellipsoidal shells, and the mathematical response models of axis lengths were developed. And then based on the adaptive simulated annealing algorithm, the reverse geometric modeling process was carried out and the possible pre-form shapes were given. Finally, an experimental verification was conducted to evaluate the reverse geometric modeling process, and the comparison between reverse design and experimental data was mainly discussed. It is shown that the dimension deviation between experiment and reverse design is less than 1 %. It is also experimentally proved that the needed prolate ellipsoidal shell can be formed by reversely designing an optimal pre-form shell.
Similar content being viewed by others
References
Krivoshapko SN (2007) Research on general and axisymmetric ellipsoidal shells used as domes, pressure vessels and tanks. ASME: Appl Mech Rev 60(6):336–355
Ma YQ, Wang CM, Ang KK (2008) Buckling of super ellipsoidal shells under uniform pressure. Thin-Walled Struct 46(6):584–591
Kirby DS, Wild PM (2000) Deep drawing of pressure vessel end closures: finite element simulation and validation. J Mater Process Technol 103(2):247–260
Zhang JH, Zhan M, Yang H (2012) 3D-FE modeling for power spinning of large ellipsoidal heads with variable thicknesses. Comput Mater Sci 53(1):303–313
Wang ZR, Liu G, Yuan SJ et al (2005) Progress in shell hydro-forming. J Mater Process Technol 167(2-3):230–236
Zhang WW, Teng BG, Yuan SJ (2015) Research on deformation and stress in hydro-forming process of an ellipsoidal shell without constraint. Int J Adv Manuf Tech 76(9-12):1555–1562
Yuan SJ, Zhang WW, Teng BG (2015) Research on hydro-forming of combined ellipsoidal shells with two axis length ratios. J Mater Process Technol 219(5):124–132
Wang ZR, Yuan SJ, Teng BG (2014) Theory and key techniques of hydro-bulging spherical vessels. Harbin Institute of Technology press, Harbin, pp 176–184
Zhang WW, Yuan SJ (2015) Research on hydro-forming of combined prolate ellipsoidal shell with double generating lines. Int J Adv Manuf Technol 82(1-4):595–603
Zhang WW, Yuan SJ (2015) Pre-form design for hydro-forming process of combined ellipsoidal shells by response surface methodology. Int J Adv Manuf Technol 81(9-12):1977–1986
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no competing interests.
Rights and permissions
About this article
Cite this article
Zhang, W.W., Yuan, S.J. Reverse geometric modeling for pre-form shape of prolate ellipsoid before hydro-forming. Int J Adv Manuf Technol 88, 1903–1909 (2017). https://doi.org/10.1007/s00170-016-8900-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-016-8900-1