Research Papers

Variation Simulation of Compliant Metal Plate Assemblies Considering Welding Distortion

[+] Author and Article Information
Wooyoung Choi

Division of Ocean Systems Engineering at Korea
Advanced Institute of Science and Technology,
291 Daehak-ro,
Yuseoung-gu 305-701, South Korea
e-mail: illbethere@kaist.ac.kr

Hyun Chung

Division of Ocean Systems Engineering at Korea
Advanced Institute of Science and Technology,
291 Daehak-ro,
Yuseoung-gu 305-701, South Korea
Ocean Systems Engineering,
KAIST, 291 Daehak-ro,
Daejeon 305-701, South Korea
e-mail: hyunny92@kaist.edu

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received March 11, 2014; final manuscript received February 2, 2015; published online March 2, 2015. Assoc. Editor: Wayne Cai.

J. Manuf. Sci. Eng 137(3), 031008 (Jun 01, 2015) (9 pages) Paper No: MANU-14-1101; doi: 10.1115/1.4029755 History: Received March 11, 2014; Revised February 02, 2015; Online March 02, 2015

The shipbuilding industry employs numerous cutting and joining processes to build the ship and offshore structure. Welding, as the primary joining process, inherently causes distortion and accounts for most of the major geometrical variation in the intermediate products (IPs), thus adversarially affecting the downstream assembly processes. Because of the welding process, the variation analysis of compliant assemblies in shipbuilding is clearly different from that of the automobile and aerospace industries, where the distortion during the joining process is negligible. This paper proposes a variation simulation model including the effects of joining process distortion for ships and offshore structures. The proposed model extends the concepts of the sources of variation and the method of influence coefficient (MIC) for a compliant mechanical assembly to include the welding distortions. The proposed model utilizes welding distortion patterns and a transformation matrix to efficiently model the deformation due to the joining process. Also the welding distortions are represented as stochastic values due to its randomness. The model is verified by case study simulation and by a comparison with welding experimental results.

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Whitney, D. E., 2004, Mechanical Assemblies: Their Design, Manufacture, and Role in Product Development, Oxford University, New York.
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]
Cai, W. W., Hsieh, C.-C., Long, Y., Marin, S. P., and Oh, K. P., 2006, “Digital Panel Assembly Methodologies and Applications for Compliant Sheet Components,” ASME J. Manuf. Sci. Eng., 128(1), pp. 270–279. [CrossRef]
Yue, J., Camelio, J. A., Chin, M., and Cai, W., 2007, “Product-Oriented Sensitivity Analysis for Multistation Compliant Assemblies,” ASME J. Mech. Des., 129(8), pp. 844–851. [CrossRef]
Cai, W., 2008, “A New Tolerance Modeling and Analysis Methodology Through a Two-Step Linearization With Applications in Automotive Body Assembly,” J. Manuf. Syst., 27(1), pp. 26–35. [CrossRef]
Masubuchi, K., 1980, Analysis of Welded Structures: Residual Stresses, Distortion, and Their Consequences, Pergamon, Oxford, UK.
Runnemalm, H., and Hyun, S., 2000, “Three-Dimensional Welding Analysis Using an Adaptive Mesh Scheme,” Comput. Methods Appl. Mech. Eng., 189(1), pp. 515–523. [CrossRef]
Lindgren, L.-E., 2001, “Finite Element Modeling and Simulation of Welding. Part 1: Increased Complexity,” J. Therm. Stresses, 24(2), pp. 141–192. [CrossRef]
Lindgren, L.-E., 2001, “Finite Element Modeling and Simulation of Welding. Part 2: Improved Material Modeling,” J. Therm. Stresses, 24(3), pp. 195–231. [CrossRef]
Lindgren, L.-E., 2001, “Finite Element Modeling and Simulation of Welding. Part 3: Efficiency and Integration,” J. Therm. Stresses, 24(4), pp. 305–334. [CrossRef]
Deng, D., Luo, Y., Serizawa, H., Shibahara, M., and Murakawa, H., 2003, “Numerical Simulation of Residual Stress and Deformation Considering Phase Transformation Effects,” Trans. JWRI, 31(2), pp. 325–333.
Nishikawa, H., Serizawa, H., and Murakawa, H., 2006, “Actual Application of Large-Scaled FEM for Analysis of Mechanical Problems in Welding,” Sci. Tech. Weld. Joining, 12(2), pp. 147–152 [CrossRef].
Lindgren, L.-E., 2006, “Numerical Modeling of Welding,” Comput. Methods Appl. Mech. Eng., 195(48–49), pp. 6710–6736. [CrossRef]
Deng, D., Murakawa, H., and Liang, W., 2007, “Numerical Simulation of Welding Distortion in Large Structure,” Comput. Methods Appl. Mech. Eng., 196(45–48), pp. 4613–4627. [CrossRef]
Deng, D., 2009, “FEM Prediction of Welding Residual Stress and Distortion in Carbon Steel Considering Phase Transformation Effects,” Mater. Des., 30(2), pp. 359–366. [CrossRef]
Long, H., Gery, D., Carlier, A., and Maropoulos, P. G., 2009, “Prediction of Welding Distortion in Butt Joint of Thin Plates,” Mater. Des., 30(10), pp. 4126–4135. [CrossRef]
Friedman, E., 1975, “Thermomechanical Analysis of the Welding Process Using the Finite Element Method,” ASME J. Pressure Vessel Technol., 97(3), pp. 206–252. [CrossRef]
Jang, C. D., and Lee, C. H., 2000, “A Study on the Prediction and Control of Welding Deformations of Ship Hull Blocks,” J. Soc. Nav. Archit. Korea, 37(2), pp. 127–136 (in Korean).
Jang, C. D., and Seo, S. I., 1995, “A Simplified Method to Estimate Longitudinal Deformations of Built-Up Beams Due to Welding and Heating,” J. Ship Res., 39(2), pp. 176–183.
Jang, C. D., Ha, Y. S., and Ko, D. E., 2003, “An Improved Inherent Strain Analysis for the Prediction of Plate Deformation Induced by Line Heating Considering Phase Transformation of Steel,” International Offshore and Polar Engineering Conference, pp. 1397–2402.
Lee, Ch. H., 2002, “Prediction of Welding Deformations of Ship Hull Panel Blocks Using Equivalent Loading Method Based on Inherent Strain,” Ph.D. thesis, Seoul National University, Seoul, Korea (in Korean).
Denlinger, E. R., Irwin, J., and Michaleris, P., 2014, “Thermomechanical Modeling of Additive Manufacturing Large Parts,” ASME J. Manuf. Sci. Eng., 136(6), p. 061007. [CrossRef]
Yilbas, B. S., and Akhtar, S., 2013, “Laser Welding of SISI 316 Steel: Microstructural and Stress Analysis,” ASME J. Manuf. Sci. Eng., 135(3), p. 031018. [CrossRef]
Asadi, M., and Goldak, J. A., 2013, “An Integrated Computational Welding Mechanics With Direct-Search Optimization for Mitigation of Distortion in an Aluminum Bar Using Side Heating,” ASME J. Manuf. Sci. Eng., 136(1), p. 011007. [CrossRef]
Chase, K., and Parkinson, A. R., 1991, “A Survey of Research in the Application of Tolerance Analysis to the Design of Mechanical Assemblies,” Res. Eng. Des., 3(1), pp. 23–37. [CrossRef]
Liu, S. C., and Hu, S. J., 1995, “An Offset Finite Element Model and Its Applications in Predicting Sheet Metal Assembly Variation,” Int. J. Mach. Tool Manuf., 35(11), pp. 1545–1557. [CrossRef]
Liu, S. C., and Hu, S. J., 1997, “Variation Simulation for Deformable Sheet Metal Assemblies Using Finite Element Method,” ASME J. Manuf. Sci. Eng., 119(3), pp. 368–374. [CrossRef]
Deng, D., Murakawa, H., and Liang, W., 2007, “Numerical Simulation of Welding Distortion in Large Structure,” Comput. Methods Appl. Mech. Eng., 196(45–48), pp. 4613–4627. [CrossRef]
Wu, S. M., and Hu, S. J., 1990, “Impact of 100% In-Process Measurement on Statistical Process Control in Automobile Body Assembly,” Monitoring and Control in Manufacturing, S.Liang, and T. C.Tsao, eds., ASME, Dallas, TX.
Hu, S. J., Wu, S. K., and Wu, S. M., 1991, “Multivariate Analysis and Variation Reduction Case Studies in Automobile Assembly,” Trans. NAMRI/SME.
Rong, Q., Ceglarek, D., and Shi, J., 2000, “Dimensional Fault Diagnosis for Compliant Beam Structure Assemblies,” ASME J. Manuf. Sci. Eng., 122(4), pp. 773–780. [CrossRef]
Liu, Y. G., and Hu, S. J., 2003, “Assembly Fixture Fault Diagnosis Using Designated Component Analysis,” ASME J. Manuf. Sci. Eng., 127(2), pp. 358–368. [CrossRef]
Lorin, S., Lindkvist, L., and Söderberg, R., 2013, “Variation Simulation of Stresses Using the Method of Influence Coefficients,” ASME J. Comput. Inf. Sci. Eng., 14(1), p. 011001. [CrossRef]
Lorin, S., Lindkvist, L., Söderberg, R., and Sandboge, R., 2013, “Combining Variation Simulation With Thermal Expansion Simulation for Geometry Assurance,” ASME J. Comput. Inf. Sci. Eng., 13(3), p. 031007. [CrossRef]
Chung, H., 2006, “Tolerance Analysis of Compliant Sheet Metal Assemblies Considering Welding Distortion,” Ph.D. thesis, The University of Michigan, Ann Arbor, MI.
Jang, C. D., Lee, C. H., and Ko, D. E., 2002,”Prediction of Welding Deformations of Stiffened Panels,” Proc. Inst. Mech. Eng., Part M, 216(2), pp. 133–143 [CrossRef].
Hu, J., and Wu, S. M., 1992, “Identifying Sources of Variation in Automobile Body Assembly Using Principal Component Analysis,” Trans. NAMRI/SME, 20, pp. 311–316.
Cai, W., 2008, “Fixture Optimization for Sheet Panel Assembly Considering Welding Gun Variations,” Proc. Inst. Mech. Eng., Part C, 222(2), pp. 235–246. [CrossRef]
Pahkamaa, A., Wärmefjord, K., Karlsson, L., Söderberg, R., and Goldak, J., 2012, “Combining Variation Simulation With Welding Simulation for Prediction of Deformation and Variation of a Final Assembly,” ASME J. Comput. Inf. Sci. Eng., 12(2), p. 021002. [CrossRef]
Lorin, S., Cromvik, C., Edelvik, F., Lindkvist, L., and Söderberg, R., 2014, “Variation Simulation of Welded Assemblies Using a Thermo-Elastic Finite Element Model,” ASME J. Comput. Inf. Sci. Eng., 14(3), p. 031003. [CrossRef]
Lee, D. Y., Kwon, K. E., Lee, J. Y., Jee, H. S., Yim, H. J., Cho, S. W., Shin, J. G., and Lee, G. B., 2009, “Tolerance Analysis Considering Weld Distortion by Use of Pregenerated Database,” ASME J. Manuf. Sci. Eng., 131(4), p. 041012. [CrossRef]
Heo, H., and Chung, H., 2014, “Stochastic Assessment Considering Process Variation for Impact of Welding Shrinkage on Cost of Ship Production,” Int. J. Prod. Res., 52(20), pp. 6076–6091. [CrossRef]
abaqus 6.12 User's Manual, 2012, Dassault Systems.
Camelio, J. A., Hu, S. J., and Marin, S. P., 2004, “Compliant Assembly Variation Analysis Using Component Geometric Covariance,” ASME J. Manuf. Sci. Eng., 126(2), pp. 355–360. [CrossRef]
Liu, J., and Jin, J., 2013, “Diagnosing Multistage Manufacturing Processes With Engineering-Driven Factor Analysis Considering Sampling Uncertainty,” ASME J. Manuf. Sci. Eng., 135(4), p. 041020. [CrossRef]


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Fig. 1

Sequence of MIC [24]. (a) Initial variation, (b) clamp part to nominal, (c) weld, and (d) clamp release and assembly spring-back.

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Fig. 2

Metal plate assembly. (a) Boundary condition (BC) and SoV of part variation and (b) BC and SoV of welded structure.

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Fig. 3

Sources of variation for data analysis

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Fig. 4

Simulation result of proposed model using unit deviation. (a) Result of the mean deviation of the assembly and (b) result of the standard deviation of the assembly.

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Fig. 5

Measurement for welding distortion using CMM 3D scanner

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Fig. 6

Designated patterns for validation purpose [33]

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Fig. 7

Analysis of surface data of simulation results. (a) The surface of mean value of simulation results and (b) the surface of standard deviation value of simulation results.

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Fig. 8

Structure and welding sequence of the stack-up process

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Fig. 9

Eigen analysis results of the stack-up process. (a) First eigen-mode, (b) second eigen-mode, (c) third eigen-mode, (d) fourth eigen-mode, (e) fifth eigen-mode, and (f) sixth eigen-mode.



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