Research Papers

Fixture Layout Design of Sheet Metal Parts Based on Global Optimization Algorithms

[+] Author and Article Information
YanFeng Xing

Automobile Engineering College,
Shanghai University of Engineering Science,
Shanghai 201620, China
e-mail: xyf2001721@163.com

1Corresponding author.

Manuscript received January 2, 2017; final manuscript received June 12, 2017; published online August 24, 2017. Assoc. Editor: Ivan Selesnick.

J. Manuf. Sci. Eng 139(10), 101004 (Aug 24, 2017) (10 pages) Paper No: MANU-17-1002; doi: 10.1115/1.4037106 History: Received January 02, 2017; Revised June 12, 2017

Fixture layout can affect deformation and dimensional variation of sheet metal assemblies. Conventionally, the assembly dimensions are simulated with a quantity of finite element (FE) analyses, and fixture layout optimization needs significant user intervention and unaffordable iterations of finite element analyses. This paper therefore proposes a fully automated and efficient method of fixture layout optimization based on the combination of 3dcs simulation (for dimensional analyses) and global optimization algorithms. In this paper, two global algorithms are proposed to optimize fixture locator points, which are social radiation algorithm (SRA) and GAOT, a genetic algorithm (GA) in optimization toolbox in matlab. The flowchart of fixture design includes the following steps: (1) The locating points, the key elements of a fixture layout, are selected from a much smaller candidate pool thanks to our proposed manufacturing constraints based filtering methods and thus the computational efficiency is greatly improved. (2) The two global optimization algorithms are edited to be used to optimize fixture schemes based on matlab. (3) Since matlab macrocommands of 3dcs have been developed to calculate assembly dimensions, the optimization process is fully automated. A case study of inner hood is applied to demonstrate the proposed method. The results show that the GAOT algorithm is more suitable than SRA for generating the optimal fixture layout with excellent efficiency for engineering applications.

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Xie, L. S. , and Hsieh, C. C. , 2002, “ Clamping and Welding Sequence Optimization for Minimizing Cycle Time and Assembly Deformation,” Int. J. Mater. Prod. Technol., 17(5–6), pp. 389–399. [CrossRef]
Nguyen, V. , 1988, “ Constructing Force-Closure Grasps,” Int. J. Rob. Res., 7(3), pp. 3–16. [CrossRef]
Ball, R. S. , 1990, A Treatise on the Theory of Screws, Cambridge University Press, Cambridge, UK.
Asada, H. , and Kitagawa, M. , 1989, “ Kinematical Analysis and Planning for Form Closure Grasps by Robotics Hand,” Rob. Comput.-Integr. Manuf., 5(4), pp. 293–299. [CrossRef]
Wang, M. Y. , 2000, “ An Optimum Design for 3-D Fixture Synthesis in a Point Set Domain,” Rob. Autom., 16(6), pp. 839–846. [CrossRef]
Qin, G. H. , Zhang, W. , Wu, Z. , and Wan, M. , 2007, “ Systematic Modeling of Workpiece-Fixture Geometric Default and Compliance for the Prediction of Workpiece Machining Error,” ASME J. Manuf. Sci. Eng., 129(4), pp. 789–801. [CrossRef]
Lööf, J. , Lindkvist, L. , and Söderberg, R. , 2009, “ Optimizing Locator Position to Maximize Robustness in Critical Product Dimensions,” ASME Paper No. DETC2009-86598.
Tsao, C.-C. , 2013, “ Dual-Dexterous-Vises: Preliminary Design and Tests of a Flexible Fixturing System,” Int. J. Precis. Eng. Manuf., 14(8), pp. 1407–1414. [CrossRef]
Cai, W. , Hu, S. J. , and Yuan, J. X. , 1996, “ Deformable Sheet Metal Fixturing: Principles, Algorithms and Simulations,” ASME J. Manuf. Sci. Eng., 118(3), pp. 318–324. [CrossRef]
Choi, W. Y. , and Chung, H. , 2015, “ Variation Simulation of Compliant Metal Plate Assemblies Considering Welding Distortion,” ASME J. Manuf. Sci. Eng., 137(3), p. 031008. [CrossRef]
Ni, J. , Tang, W. C. , Xing, Y. , Ben, K. C. , and Li, M. , 2015, “ A Local-to-Global Dimensional Error Calculation Framework for the Riveted Assembly Using Finite-Element Analysis,” ASME J. Manuf. Sci. Eng., 138(3), p. 031004. [CrossRef]
Kuang, H. , Hu, S. J. , and Ko, J. , 2016, “ Concurrent Design of Assembly Plans and Supply Chain Configurations Using AND/OR Graphs and Dynamic Programing,” ASME J. Manuf. Sci. Eng., 138(5), p. 051011. [CrossRef]
Mehmet, A. I. , and Tuna, T. G. , 2016, “ Simultaneous Determination of Disassembly Sequence and Disassembly-to-Order Decisions Using Simulation Optimization,” ASME J. Manuf. Sci. Eng., 138(10), p. 101012. [CrossRef]
Zhang, T. Y. , and Shi, J. J. , 2016, “ Stream of Variation Modeling and Analysis for Compliant Composite Part Assembly—Part I: Single-Station Processes,” ASME J. Manuf. Sci. Eng., 138(12), p. 121003. [CrossRef]
Zhang, T. Y. , and Shi, J. J. , 2016, “ Stream of Variation Modeling and Analysis for Compliant Composite Part Assembly—Part II: Multistation Processes,” ASME J. Manuf. Sci. Eng., 138(12), p. 121004. [CrossRef]
Camelio, J. , Hu, S. J. , and Ceglarek, D. , 2004, “ Impact of Fixture Design on Sheet Metal Assembly Variation,” J. Manuf. Syst., 23(3), pp. 182–193. [CrossRef]
Li, B. , Shiu, B. W. , and Lau, K. J. , 2003, “ Robust Fixture Configuration Design for Sheet Metal Assembly With Laser Welding,” ASME J. Manuf. Sci. Eng., 125(1), pp. 120–127. [CrossRef]
Carlson, J. S. , and Söderberg, R. , 2001, “ Quadratic Sensitivity Analysis of Fixtures and Locating Schemes for Rigid Parts,” ASME J. Manuf. Sci. Eng., 123(3), pp. 462–472. [CrossRef]
Vishnupriyan, S. , Majumder, M. C. , and Ramachandran, K. P. , 2010, “ Optimization of Machining Fixture Layout for Tolerance Requirements Under the Influence of Locating Errors,” Int. J. Eng. Sci. Technol., 2(1), pp. 152–162. [CrossRef]
Xing, Y. F. , and Wang, Y. S. , 2013, “ Fixture Layout Design Based on Two-Stage Method for Sheet Metal Components,” J. Eng. Manuf., 227(1), pp. 677–682. [CrossRef]
Dou, J. P. , Wang, X. S. , and Wang, L. , 2010, “ Machining Fixture Layout Optimization Using Particle Swarm Optimization Algorithm,” Fourth International Seminar on Modern Cutting and Measurement Engineering, Beijing, China, Dec. 10–12, Paper No. 79970S.
Chryssolouris, G. , Papakostas, N. , and Mourtzis, D. , 2000, “ A Decision Making Approach for Nesting Scheduling: A Textile Case,” Int. J. Prod. Res., 38(17), pp. 4555–4564. [CrossRef]
Das, A. , Franciosa, P. , and Ceglarek, D. , 2015, “ Fixture Design Optimisation Considering Production Batch of Compliant Non-Ideal Sheet Metal Parts,” Proc. Manuf., 1(3), pp. 157–168.
Xing, Y. F. , Ni, J. , and Lan, S. H. , 2014, “ Fixture Layout Optimization Based on Social Radiation Algorithm,” ASME Paper No. MSEC2014-4098.
Houck, C. R. , Joines, J. A. , and Kay, M. G. , 1995, “ A Genetic Algorithm for Function Optimization: A MATLAB Implementation,” North Carolina State University, Raleigh, NC, Technical Report No. NCSU-IE-TR-95-09. https://www.researchgate.net/publication/2386612_A_Genetic_Algorithm_for_Function_Optimization_A_MATLAB_implementation
Liu, S. C. , and Hu, S. J. , 1997, “ Variation Simulation for Deformable Sheet Metal Assembly Using Finite Element Methods,” ASME J. Manuf. Sci. Eng., 119(3), pp. 368–374. [CrossRef]


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Fig. 3

Flowchart of fixture layout design

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Fig. 1

Assembly process of sheet metal parts

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Fig. 4

Normal directions of different types of elements

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Fig. 14

Ratio filtering for the bracket part

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Fig. 5

Angle between directions of two elements

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Fig. 6

Angle filtering of the bracket part

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Fig. 7

Block and angle definition: (a) locating block of fixture and (b) angle of revolving around one node

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Fig. 8

Boundary filtering of the bracket part (see color figure online)

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Fig. 9

Primary plane filtering of the bracket part (see color figure online)

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Fig. 10

Sparseness filtering

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Fig. 11

Sparseness filtering for the bracket part: (a) 284 candidate points after first sparseness filtering and (b) 92 candidate points after second sparseness filtering

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Fig. 15

Assembly variation model in 3dcs

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Fig. 16

Ratio curve for bracket part: (a) four locating points in primary plane and (b) ratio curve

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Fig. 18

Flowchart of calculating assembly tolerance by GAOT

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Fig. 19

Optimization process of fixture layout (see color figure online)

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Fig. 20

Case of inner hood part: (a) principle of 4-2-1, (b) four measurement points, and (c) tolerances of four measurement points

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Fig. 21

Candidate points of inner hood

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Fig. 22

Fixture locating schemes of the inner hood part




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