The manual design of addendum surfaces on common CAD platforms is very tedious which requires many trials-corrections, which will certainly affect the construction efficiency and quality of addendum surfaces, and then affect the formability and quality of the workpiece in the process of sheet forming. In this paper, an automatic procedure based on parametric design method is proposed for the rapid construction of the addendum surfaces. The kernel of the parametric method is constructing boundary curves based on the shape of surfaces of workpiece and designing guide curves based on Hermite curve interpolation. By some simple parameters, the shape of the addendum surfaces could be controlled and adjusted easily. In addition, a minimum energy optimization method is employed to further optimize the constructed addendum surface. A finite element analysis for the sheet forming process is performed to evaluate the forming quality of constructed addendum surfaces. The instance illustrates that the addendum surface constructed by the proposed method could ensure both the overall smoothing of surfaces and the final forming quality, and it has a good effect on springback after forming. This research proposes a smoothing parametric design method for addendum surfaces construction which could construct and optimize addendum surfaces rapidly.
Jixing Li
,
Tao Ning
,
Ping Xi
,
Bifu Hu
,
Tian Wang
,
Jiong Yang
. Smoothing Parametric Design of Addendum Surfaces for Sheet Metal Forming[J]. Chinese Journal of Mechanical Engineering, 2020
, 33(1)
: 4
-4
.
DOI: 10.1186/s10033-019-0425-8
The manual design of addendum surfaces on common CAD platforms is very tedious which requires many trials-corrections, which will certainly affect the construction efficiency and quality of addendum surfaces, and then affect the formability and quality of the workpiece in the process of sheet forming. In this paper, an automatic procedure based on parametric design method is proposed for the rapid construction of the addendum surfaces. The kernel of the parametric method is constructing boundary curves based on the shape of surfaces of workpiece and designing guide curves based on Hermite curve interpolation. By some simple parameters, the shape of the addendum surfaces could be controlled and adjusted easily. In addition, a minimum energy optimization method is employed to further optimize the constructed addendum surface. A finite element analysis for the sheet forming process is performed to evaluate the forming quality of constructed addendum surfaces. The instance illustrates that the addendum surface constructed by the proposed method could ensure both the overall smoothing of surfaces and the final forming quality, and it has a good effect on springback after forming. This research proposes a smoothing parametric design method for addendum surfaces construction which could construct and optimize addendum surfaces rapidly.
[1] Y Xia, Y Wu, M A N Hendriks. Simultaneous optimization of shape and topology of free-form shells based on uniform parameterization model. Autom. Constr., 2019, 102: 148-159.
[2] Q G Le, B Raghavan, P Breitkopf. A manifold learning-based reduced order model for springback shape characterization and optimization in sheet metal forming. Computer Methods in Applied Mechanics and Engineering, 2015, 285: 621-638.
[3] M Dong, K Debray, Y Q Guo, et al. Design and optimization of addendum surfaces in sheet metal forming process. International Journal for Computational Methods in Engineering Science & Mechanics, 2007, 8(4): 211-222.
[4] K Debray, Y M Li, Y Q Guo. Parametric design and optimization of addendum surfaces for sheet metal forming process. International Journal of Material Forming, 2013, 6(3): 315-325.
[5] S Kitayama, H Koyama, K Kawamoto, et al. Optimization of blank shape and segmented variable blank holder force trajectories in deep drawing using sequential approximate optimization. International Journal of Advanced Manufacturing Technology, 2017, 91(5-8): 1809-1821.
[6] M H Wang, G Q Xiao, Z Li, et al. Shape optimization methodology of clinching tools based on bezier curve. International Journal of Advanced Manufacturing Technology, 2018, 94(5-8): 2267-2280.
[7] Z Wang, Q C Zhang, Y Q Liu, et al. A robust and accurate geometric model for automated design of drawbeads in sheet metal forming. Computer-Aided Design, 2017, 92: 42-57.
[8] H Qin, Z J Liu, H L Zhong, et al. Two-level multiple cross-sectional shape optimization of automotive body frame with exact static and dynamic stiffness constraints. Structural and Multidisciplinary Optimization, 2018, 58(5): 2309-2323.
[9] P Kang, S K Youn. Isogeometric topology optimization of shell structures using trimmed nurbs surfaces. Finite Elements in Analysis & Design, 2016, 120: 18-40.
[10] Y Liu, M Shimoda. Two-step shape optimization methodology for designing free-form shells. Inverse Problems in Science and Engineering, 2015, 23(1): 1-15.
[11] J Li, J Shen, B Wang. A multipass incremental sheet forming strategy of a car taillight bracket. International Journal of Advanced Manufacturing Technology, 2013, 69(9-12): 2229-2236.
[12] W Wang, G Zhao, F Shi. Die surface design cad software oriented for sheet metal stamping fem. Steel Research International, 2010, 81(9): 678-681.
[13] L Peng, X Lai, M Li. Transition surface design for blank holder in multi-point forming. International Journal of Machine Tools & Manufacture, 2006, 46(12): 1336-1342.
[14] Afzeri, M S Shahdan, H S Qasim. Effect of addendum parameters to the formability of aluminum al 6303. Advanced Materials Research, 2011, 264-265: 206-211.
[15] M C Oliveira, R Padmanabhan, A J Baptista, et al. Sensitivity study on some parameters in blank design. Materials & Design, 2009, 30(4):1223-1230.
[16] D Chi, R Liu, P Hu, et al. Smoothing parametric method to design addendum surface. International Conference on Intelligent Computation Technology and Automation, 2008: 1140-1144.
[17] K Hu, C Di. Addendum surface design based on the parametric method. Communications in Computer & Information Science, 2011, 144: 279-284.
[18] Y Cheng, F Z He, X Lv, et al. An information model for presenting multi-user design intents for feature-based 3D collaborative designing. New York: Assoc. Computing Machinery, 2017.
[19] Z Pan, X Wang, R Teng, et al. Computer-aided design-while-engineering technology in top-down modeling of mechanical product. Computers in Industry, 2016, 75: 151-161.
[20] J D Camba, M Contero. Assessing the impact of geometric design intent annotations on parametric model alteration activities. Computers in Industry, 2015, 71: 35-45.
[21] D C Nolan, C M Tierney, C G Armstrong, et al. Defining Simulation Intent. Computer-Aided Design, 2015, 59: 50-63.
[22] J D Camba, M Contero, P Company. Parametric cad modeling: An analysis of strategies for design reusability. Computer-Aided Design, 2016, 74: 18-31.
[23] C Zhang, G Zhou. A view-based 3D CAD model reuse framework enabling product lifecycle reuse. Advances in Engineering Software, 2019, 127: 82-89.
[24] C Gonzalez-Lluch, P Company, M Contero, et al. A survey on 3D CAD model quality assurance and testing tools. CAD Computer Aided Design 2017, 83: 64-79.
[25] Z R Cheng, Y S Ma. Explicit function-based design modelling methodology with features. Journal of Engineering Design, 2017, 28(3): 205-231.
[26] Z R Cheng, Y S Ma. A functional feature modeling method. Adv. Eng. Inform., 2017, 33: 1-15.
[27] K Rajab, L A Piegl, V Smarodzinava. CAD model repair using knowledge-guided nurbs. Engineering with Computers, 2013, 29(4): 477-486.
[28] G Farin, J Hoschek, M S Kim. Hand book of computer aided geometric design. Elsevier, 2002.
[29] F Shi. Computer aided geometric design and non-uniform rational B-spline: Second edition. Beijing: Higher Education Press, 2013. (in Chinese)
[30] B Q Su, D Y Liu. Computational geometry. Shanghai: ShangHai Scientific and Technical Publishers, 1981. (in Chinese)
[31] J H Yong, F Cheng. Geometric hermite curves with minimum strain energy. Computer Aided Geometric Design, 2004, 21(3): 281-301.
