Abstract
Interactive virtual assembly systems have been widely used in product development. In most virtual assembly systems, assembly parts are regard as rigid objects without deformation abilities because deformation representation need complex preprocess procedure that cost long computing time. In this paper, a new method based on the triangle facet model and the Laplace operator is presented to calculate the deformation of a sheet-metal part during an assembly process simulation. At the beginning of this method, the processing element is created directly from the triangle facet model in the virtual assembly system without a preprocessing step. Then a high-order Laplace operator is derived from the processing element. A calculation model is constructed according to the basic sheet deformation equation and the Laplace operator. Finally, a deformation solving pipeline is constructed and incorporated into the virtual assembly system. The proposed method is studied on a virtual aircraft assembly case to calculate and visualize the deformation of a sheet-metal part. Compared with the FEM (Finite Element Method), the proposed method has a higher solving speed and a simpler preprocessing process, which provides a swift alternative for sheet deformation calculation during the interactive assembly simulation.
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References
Baiz PM, Aliabadi MH (2009) Local buckling of thin-walled structures by the boundary element method. Eng Anal Bound Elem 33(3):302–313
Diaz G, Mombello B (2015) semianalytic integral method for fast solution of current distribution in foil winding transformers. IEEE Trans Magn 51(9):8401209
Frei R, Serbanuta TF, Serugendo GD (2014) Self-organising assembly systems formally specified in Maude. J Ambient Intell Humaniz Comput 5(4):491–510
Key PW, Gregory HJ (1993) Finite strip method for the elastic-plastic large displacement analysis of thin-walled and cold-formed steel sections. Thin-Walled Struct 16(1–4):3–29
Kusiak A (2017) Smart manufacturing must embrace big data. Nature 544(7648):23–25
Ledentsov D, Düster A, Volk W, Wagner M, Rank E (2010) Model adaptivity for industrial application of sheet metal forming simulation. Finite Elem Anal Des 46(7):585–600
Li J, Tao F, Cheng Y, Zhao L (2015) Big data in product lifecycle management. Int J Adv Manuf Technol 81(1):667–684
Liu SC, Hu SJ (1997) Variation simulation for deformable sheet metal assemblies using finite element methods. J Manuf Sci Eng Trans ASME 119(3):368–374
Mikchevitch A, Léon JC, Gouskov A (2004) Flexible beam part manipulation for assembly operation simulation in a virtual reality environment. J Comput Inf Sci Eng 4(2):114–123
Neto DM, Coër J, Oliveira MC, Alves JH, Menezes LF (2016) Numerical analysis on the elastic deformation of the tools in sheet metal forming processes. Int J Solids Struct 100–101(1):270–285
Oudjene M, Batoz JL, Penazzi L, Mercier F (2007) A methodology for the 3D stress analysis and the design of layered sheet metal forming tools joined by screws. J Mater Process Technol 189(1–3):334–343
Qiu SG, He QC, Fan XM et al (2014) Virtual human hybrid control in virtual assembly and maintenance simulation. Int J Prod Res 52(3):867–887
Rasiulis K, Sapalas A, Vadluga R, Samofalov M (2006) Stress/strain state investigations for extreme points of thin wall cylindrical tanks. J Constr Steel Res 62(12):1232–1237
Rendall MA, Hancock GJ, Kim JR, Rasmussen (2017) The generalised constrained finite strip method for thin-walled members in shear. Thin-Walled Struct 117:294–302
Santra P, Bedakihale V, Ranganath T (2009) Thermal structural analysis of SST-1 vacuum vessel and cryostat assembly using ANSYS. Fusion Eng Des 84(7–11):1708–1712
Saucedo-Martínez JA, Perez-Lara M, Marmolejo-Saucedo JA, Salais-Fierro TE, Vasant P (2017) Industry 4.0 framework for management and operations: a review, J Ambient Intell Hum Comput (in press)
Senthilnathan N, Venkatachalam G, Satonkar N (2014) A Two Stage Finite Element Analysis of Electromagnetic Forming of Perforated Aluminium Sheet Metals. Proc Eng 9:1135–1144
Smith FH, Moen CD (2014) Finite strip elastic buckling solutions for thin-walled metal columns with perforation patterns. Thin-Walled Struct 79:187–201
Soares RA, Palermo L (2017) Effect of shear deformation on the buckling parameter of perforated and non-perforated plates studied using the boundary element method. Eng Anal Bound Elem 85:57–69
Tao F, Qi QL (2017) New IT driven service-oriented smart manufacturing: framework and characteristics. IEEE Trans Syst Man Cybern Syst 99:1–11
Tao F, Cheng JF, Qi QL, Zhang M, Zhang H, Sui FY (2018a) Digital twin driven product design, manufacturing and service with big data. Int J Adv Manuf Technol 94(9–12):3563–3576
Tao F, Qi QL, Liu A, Kusiak A (2018b) Data-driven smart manufacturing, J Manuf Syst (in press)
Wu DL, Yang RD, Fan XM, Ma DZ (2008) Integrated virtual assembly environment and its application in ship piping layout. Int J Prod Res Int J Prod Res 46(17):4729–4749
Yuan BX, Wang ZJ (2017) A multi-deformable bodies solution method coupling finite element with meshless method in sheet metal flexible-die forming. Proc Eng 207:1641–1646
Zhang YM, Qu WZ, Chen JT (2013) BEM analysis of thin structures for thermoelastic problems. Eng Anal Bound Elem 37(2):441–452
Zhang ZN, Wang X, Wang XH, Cheng H (2018) A simulation-based approach for plant layout design and production planning, J Ambient Intell Hum Comput (in press)
Zhen XJ, Wu DL, Fan XM, Hu Y (2009) Distributed parallel virtual assembly environment for automobile development. Assembly Autom 29(3):279–289
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Cheng, H., Wu, D. & Fan, X. Modeling and simulation of sheet-metal part deformation in virtual assembly. J Ambient Intell Human Comput 10, 1231–1240 (2019). https://doi.org/10.1007/s12652-018-0884-2
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DOI: https://doi.org/10.1007/s12652-018-0884-2