Abstract
This paper quantifies the detailed assembly motions by taking into account the mating gaps and gravities of fixtures and sheet metals. Finite element (FE) models are firstly generated for fixtures and parts. Their nodes are ordered according to an appointed assembly sequence where the last assembled part is behind the first one by the assembly platform or mating surface. Three noncollinear feature points are selected from each last assembled part near the mating surface. Their translational displacements (gaps) represent the part rigid motion near that surface omitting the local joint deformation. Based on the given feature point gaps, kinematic formulations are proposed to compute the rigid motions for any FE nodes behind the mating surface in assembly sequence. Compliant motions are then reached by the modified FE analysis where variable mesh method is applied to change the FE nodal coordinates using the gap-induced rigid motions and deformations. Code integrations of sequence and parallel assemblies are finally proposed and validated via simulations and experiments. Results suggest the following: (1) the proposed method is effective and accurate for engineer application; (2) the integration approach requires to be further studied for the precision analysis of more complex assemblies and implies a feasible way for adding local deformations of joints to the deterministic dimensional precision analysis.
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References
Blanchot V, Daidie A (2006) Riveted assembly modeling: Study and numerical characterisation of a riveting process. J Mater Process Technol 180:201–209
Saadat M, Cretin L, Sim R, Najafi F (2009) Deformation analysis of large aerospace components during assembly. Int J Adv Manuf Technol 41:145–155
Ruze J (1952) The effect of aperture errors on the antenna radiation pattern. II Nuovo Cimento 9(3 Supplement):364–380
Duan B (2002) Review of antenna structural design with mechatronics in China. Mechatronics 12:657–667
Chase KW, Greenwood WH (1988) Design issues in mechanical tolerance analysis. ASME Manuf Rev 1(1):50–59
Mazur M, Leary M, Subic A (2011) Computer aided tolerancing platform for the design of assemblies under external and internal forces. Comput Aided Des 43:707–719
Hu SJ (1997) Stream-of-variation theory for automotive body assembly. Ann ClRP 46:1–6
Liu SC, Hu JS (1997) Variation simulation for deformable sheet metal assemblies using finite element methods. J Manuf Sci Eng 119:368–374
Long Y (1998) CAVA manual. The University of Michigan, Ann Arbor
Cai W, Hu SJ, Yuan JX (1996) Deformable sheet metal fixturing: Principles, algorithms and simulations. ASME J Mech Des 118(3):318–324
Cai W, Wang P, Yang W (2005) Assembly dimensional prediction for self-piercing riveted aluminum panels. Int J Mach Tools Manuf 45:695–704
Cai W, Hsieh C, Long Y, Marin SP, Oh KP (2006) Digital panel assembly methodologies and applications for compliant sheet metals. ASME J Manuf Sci Eng 128:270–280
Dahlström S, Lindkvist L (2007) Variation simulation of sheet metal assemblies using the method of influence coefficients with contact modeling. J Manuf Sci Eng 129:615–622
Cai W, Hu SJ, Yuan JX (1997) A variational method of robust fixture configuration design for 3-D workpieces,”. ASME J Manuf Sci Eng 119(4):593–602
Loose JP, Zhou S, Ceglarek D (2007) Kinematic analysis of dimensional variation propagation for multistage machining processes with general fixture layouts. IEEE Trans Autom Sci Eng 4(2):141–152
Jin J, Shi J (1999) State space modeling of sheet metal assembly for dimensional control. Trans ASME 121:756–761
Ceglarek D, Huang W, Zhou S, Ding Y, Ramesh K, Zhou Y (2004) Time-based competition in manufacturing: stream-of variation analysis (SOVA) methodology-review. Int J Flex Manuf Syst 16(1):11–44
Yue Y, Camelio J, Chin M, Cai W (2007) Product oriented sensitivity analysis for multi-station compliant assemblies. ASME J Mech Des 129(8):844–851
Cai W (2008) A new tolerance modeling and analysis methodology through a two-step linearization with applications in automotive body assembly. SME J Manuf Syst 27:26–35
Huang W, Lin J, Bezdecny MR, Kong Z, Ceglarek D (2007) Stream-of-variation modeling I: a generic 3D variation model for rigid body assembly in single station assembly processes. J Manuf Sci Eng 129(4):821–831
Huang W, Lin J, Kong Z, Ceglarek D (2007) Stream-of-variation (SOVA) modeling II: a generic 3D variation model for rigid body assembly in multi station assembly processes. J Manuf Sci Eng 129(4):832–842
Huang W, Kong Z (2008) Simulation and integration of geometric and rigid body kinematics errors for assembly variation analysis. J Manuf Syst 27:36–44
Wang H, Ceglarek D (2009) Variation propagation modeling and analysis at preliminary design phase for multi-station assembly systems. Assem Autom Int J Assem Technol Manag 29(2):154–166
Cheng H, Li Y, Zhang K, Mu W, Liu B (2011) Variation modeling of aeronautical thin-walled structures with multi-state riveting. J Manuf Syst 30(2):101–115
Cai W (2006) Robust pin layout design for sheet-panel locating. Int J Adv Manuf Technol 28:486–494
Ni J, Tang W, Xing Y (2013) Equivalent calculation of riveted assembly deformation and its application in assembly dimensional analysis. ASME J Manuf Sci Eng, in review
Chase KW, Magleby SP, Glancy CG (1998) A comprehensive system for computer-aided tolerance analysis of 2D and 3D mechanical assemblies. Geometric Design Tolerance, Theories, Standards and Applications. Chapman and Hall, London, pp 294–307
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Ni, J., Tang, W. & Xing, Y. Three-dimensional precision analysis with rigid and compliant motions for sheet metal assembly. Int J Adv Manuf Technol 73, 805–819 (2014). https://doi.org/10.1007/s00170-014-5832-5
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DOI: https://doi.org/10.1007/s00170-014-5832-5