Fixture Layout Optimization for Large Metal Sheets Using Genetic Algorithm
The geometric errors in the manufacturing process can
be reduced by optimal positioning of the fixture elements in the
fixture to make the workpiece stiff. We propose a new fixture layout
optimization method N-3-2-1 for large metal sheets in this paper that
combines the genetic algorithm and finite element analysis. The
objective function in this method is to minimize the sum of the nodal
deflection normal to the surface of the workpiece. Two different
kinds of case studies are presented, and optimal position of the
fixturing element is obtained for different cases.
<p>[1] G. Prabhaharan, K. P. Padmanaban, R. Krishnakumar, “Machining
fixture layout optimization using FEM and evolutionary techniques,”
International Journal of Advanced Manufacturing Technology, vol. 32,
pp. 1090-1103, 2007.
[2] R.J. Menassa, W.R. DeVries, “Optimization methods applied to
selecting support positions in fixture design,” ASME Journal of
Engineering for Industry, vol. 113, pp. 412-418, 1991.
[3] R.T. Meyer, F.W. Liou, “Fixture analysis under dynamic machining,”
International Journal of Production Research, vol. 35, no. 5, pp. 1471-
1489, 1997.
[4] U. Roy, J. Liao, “Geometric reasoning for re-allocation of supporting
and clamping positions in the automated fixture design system,” IEEE
Transactions, vol. 31, pp. 313-322, 1999.
[5] Z.J. Tao, A.S. Kumar, A.Y.C. Nee, “A computational geometry
approach to optimum clamping synthesis of machining fixtures,”
International Journal of Production Research, vol. 37, no. 15, pp.
3495-3517, 1999.
[6] B. Li, S.N. Melkote, “Improved workpiece location accuracy through
fixture layout optimization,” International Journal of Machine Tools
and Manufacture, vol. 39, pp. 871-883, 1999.
[7] Y.J. Liao, S.J. Hu, “Flexible multibody dynamics based fixture–
workpiece analysis model for fixturing stability,” International Journal
of Machine Tools and Manufacture, vol. 40, pp. 343-362, 2000.
[8] B. Li, S.N. Melkote, “Optimal fixture design accounting for the effect of
workpiece dynamics,” International Journal of Advanced
Manufacturing Technology, vol. 18, pp. 701-707, 2001.
[9] E.Y.T. Tan, A.S. Kumar, J.Y.H. Fuh, A.Y.C. Nee, “Modeling, analysis
and verification of optimal fixturing design,” IEEE Transactions on
Automation Science and Engineering, vol. 1, no. 2, pp. 121-132, 2004.
[10] N. Amaral, J.J. Rencis, Y. Rong, “Development of a finite element
analysis tool for fixture design integrity verification and optimization,”
International Journal of Advanced Manufacturing Technology, vol. 21,
pp. 411-419, 2004.
[11] W. Cai, S. J. Hu, and J. X. Yuan, “Deformable sheet metal fixturing:
principles, algorithms, and simulations,” Journal of Manufacturing
Science and Engineering, vol.118, issue 3, pp. 318-324, 1996.
[12] ] B. Li and B. W. Shiu, “Principle and simulation of fixture
configuration design for sheet metal assembly with laser welding. Part 2:
optimal configuration design with the genetic algorithm,” International
Journal of Advanced Manufacturing Technology, vol. 18, pp. 276-284,
2001.
[13] B. Li, B. W. Shiu and K. J. Lau, “Fixture configuration design for sheet
metal assembly with laser welding: A case study,” The International
Journal of Advanced Manufacturing Technology, vol. 19, pp. 501-509.
[14] W Cai, “Fixture optimization for sheet panel assembly considering
welding gun variations,” Journal of Mechanical Engineering Science,
vol. 222, pp. 235-246, 2008
[15] J. Ma, M. Y. Wang, “Compliant fixture layout design using topology
optimization method,” 2011 IEEE International Conference on
Robotics and Automation, Shanghai, China, May 9-13, 2011.
[16] H. Cheng, Y. Li, K.F. Zhang, C. Luan, Y.W. Xu, M. H. Li,
“Optimization method of fixture layout for aeronautical thin-walled
structures with automated riveting,” Assembly Automation, vol. 32, pp.
323- 332, 2012.
[17] L. Xiong, R. Molfino, M. Zoppi, “Fixture layout optimization for
flexible aerospace parts based on self-reconfigurable swarm intelligent
fixture system,” The International Journal of Advanced Manufacturing
Technology, pp. 1-9, 2012.</p>
<p>[1] G. Prabhaharan, K. P. Padmanaban, R. Krishnakumar, “Machining
fixture layout optimization using FEM and evolutionary techniques,”
International Journal of Advanced Manufacturing Technology, vol. 32,
pp. 1090-1103, 2007.
[2] R.J. Menassa, W.R. DeVries, “Optimization methods applied to
selecting support positions in fixture design,” ASME Journal of
Engineering for Industry, vol. 113, pp. 412-418, 1991.
[3] R.T. Meyer, F.W. Liou, “Fixture analysis under dynamic machining,”
International Journal of Production Research, vol. 35, no. 5, pp. 1471-
1489, 1997.
[4] U. Roy, J. Liao, “Geometric reasoning for re-allocation of supporting
and clamping positions in the automated fixture design system,” IEEE
Transactions, vol. 31, pp. 313-322, 1999.
[5] Z.J. Tao, A.S. Kumar, A.Y.C. Nee, “A computational geometry
approach to optimum clamping synthesis of machining fixtures,”
International Journal of Production Research, vol. 37, no. 15, pp.
3495-3517, 1999.
[6] B. Li, S.N. Melkote, “Improved workpiece location accuracy through
fixture layout optimization,” International Journal of Machine Tools
and Manufacture, vol. 39, pp. 871-883, 1999.
[7] Y.J. Liao, S.J. Hu, “Flexible multibody dynamics based fixture–
workpiece analysis model for fixturing stability,” International Journal
of Machine Tools and Manufacture, vol. 40, pp. 343-362, 2000.
[8] B. Li, S.N. Melkote, “Optimal fixture design accounting for the effect of
workpiece dynamics,” International Journal of Advanced
Manufacturing Technology, vol. 18, pp. 701-707, 2001.
[9] E.Y.T. Tan, A.S. Kumar, J.Y.H. Fuh, A.Y.C. Nee, “Modeling, analysis
and verification of optimal fixturing design,” IEEE Transactions on
Automation Science and Engineering, vol. 1, no. 2, pp. 121-132, 2004.
[10] N. Amaral, J.J. Rencis, Y. Rong, “Development of a finite element
analysis tool for fixture design integrity verification and optimization,”
International Journal of Advanced Manufacturing Technology, vol. 21,
pp. 411-419, 2004.
[11] W. Cai, S. J. Hu, and J. X. Yuan, “Deformable sheet metal fixturing:
principles, algorithms, and simulations,” Journal of Manufacturing
Science and Engineering, vol.118, issue 3, pp. 318-324, 1996.
[12] ] B. Li and B. W. Shiu, “Principle and simulation of fixture
configuration design for sheet metal assembly with laser welding. Part 2:
optimal configuration design with the genetic algorithm,” International
Journal of Advanced Manufacturing Technology, vol. 18, pp. 276-284,
2001.
[13] B. Li, B. W. Shiu and K. J. Lau, “Fixture configuration design for sheet
metal assembly with laser welding: A case study,” The International
Journal of Advanced Manufacturing Technology, vol. 19, pp. 501-509.
[14] W Cai, “Fixture optimization for sheet panel assembly considering
welding gun variations,” Journal of Mechanical Engineering Science,
vol. 222, pp. 235-246, 2008
[15] J. Ma, M. Y. Wang, “Compliant fixture layout design using topology
optimization method,” 2011 IEEE International Conference on
Robotics and Automation, Shanghai, China, May 9-13, 2011.
[16] H. Cheng, Y. Li, K.F. Zhang, C. Luan, Y.W. Xu, M. H. Li,
“Optimization method of fixture layout for aeronautical thin-walled
structures with automated riveting,” Assembly Automation, vol. 32, pp.
323- 332, 2012.
[17] L. Xiong, R. Molfino, M. Zoppi, “Fixture layout optimization for
flexible aerospace parts based on self-reconfigurable swarm intelligent
fixture system,” The International Journal of Advanced Manufacturing
Technology, pp. 1-9, 2012.</p>
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53525", author = "Zeshan Ahmad and Matteo Zoppi and Rezia Molfino", title = "Fixture Layout Optimization for Large Metal Sheets Using Genetic Algorithm", abstract = "The geometric errors in the manufacturing process can
be reduced by optimal positioning of the fixture elements in the
fixture to make the workpiece stiff. We propose a new fixture layout
optimization method N-3-2-1 for large metal sheets in this paper that
combines the genetic algorithm and finite element analysis. The
objective function in this method is to minimize the sum of the nodal
deflection normal to the surface of the workpiece. Two different
kinds of case studies are presented, and optimal position of the
fixturing element is obtained for different cases.
", keywords = "Fixture layout, optimization, fixturing element,
genetic algorithm.", volume = "7", number = "7", pages = "1436-6", }
