Fixture Design and Work Piece Deformation Optimization Using the Iterative Simplex Algorithm

Document Type : Original Manuscript


1 SVERI College of Engineering, Pandharpur, India.

2 Department of Mechanical Engineering, College of Engineering Pandharpur, India


Presents article is deal with optimization of the fixture for end milling process, the most important objective being the minimization of work piece deformation by changing the layout of fixture elements and the clamping forces. The main objective of this work has been the optimization of the fixtures Work piece deformation subjected to clamping forces for End milling operation. The present analysis is  used in hollow rectangular  isotropic material work piece for FEA analysis and its optimization A linear programing (L.P) simplex model optimization activity has been performed both on fixture-work piece systems modeled with FEM and on fixture-work piece systems modeled with 3-D solid elements. The optimization constraints is selected as W/P deformation in x,y,z direction for various clamping forces, in order to provide a new design of fixture.  The MATLAB code has been developed for L.P. model optimization purpose. Present MATLAB code is validated by using available literature. This paper deals with application of the L.P. model for w/p deformation optimization for a accommodating work piece. A simplex iterative algorithm that minimizes the work piece elastic deformation for the entire clamping force is proposed. It is shown via an example of milling fixture design that this algorithm yields a design that is superior to the result obtained from either fixture layout or w/p deformation optimization alone.

Graphical Abstract

Fixture Design and Work Piece Deformation Optimization Using the Iterative Simplex Algorithm


  • FEM modeled in ANSYS
  • Optimization algorithm
  • Fixture Design for milling operation


Main Subjects

Anual, M.T. Sahroni, T.R., Akmal, S. Nasution, F.A. (2018), Transient Thermal Analysis Of Welding Fixtures Design ,The 2nd International Conference On Eco Engineering Development 2018 (ICEED 2018),  Doi:10.1088/1755-1315/195/1/012042
 Asadi , A.,   Saidi-Mehrabad, M. & Fathi Aghdam, F. (2019), A Two-Dimensional Warranty Model With Consideration Of Customer And Manufacturer Objectives Solved With Non-Dominated Sorting Genetic Algorithm. Journal Of Optimization In Industrial Engineering Volume 12(1), 11-20. DOI: 10.22094/JOIE.2018.538225
Calabrese M., Primob T., Del Pretec A. ( 2017 ),Optimization of machining fixture for aeronautical thin-walled components, Procedia CIRP 60 32 – 37.
Chaari, R.,  Abennadher, M., Louati, J. & Haddar, M. (2014), Mathematical methodology for optimization of the clampingforces accounting for workpiece vibratory behaviour, Int. J. Simul. Multisci.Des. Optim.,5, 1-13.
Chavan, Shivaji G. (2014), Stress Analysis of Flanged Joint Using Finite Element Method” International Journal of Science and Research. (IJSR) ISSN (Online): 2319-7064, pp-1177-1185.
Chavan, Shivaji G. (2014), Stress Analysis of Laminated Boron / Epoxy Materials, International Journal of Science and Research (IJSR) ISSN (Online): 2319-7064,pp-1668-1670 .
Chavan, Shivaji G. & Karidkar S.S.( 2012), Experimental stress analysis in a fixture systems using FEM, International Journals of Technology and Research Engg. ISSN-2278-0181, Vol.I, Issue-10.
Cioata V G, Kiss I, Alexa V and Rațiu S A (2017), The optimization of the position and the magnitude of the clamping forces in machining fixtures, Materials Science and Engineering 200, 012015 doi:10.1088/1757-899X/200/1/012015.
Hashemi H., Shaharoun A. M., Izman S.  , Ganjia B., Namazian Z., Shojaei S.(2014),Fixture Design Automation and Optimization Techniques: Review and Future Trends, IJE TRANSACTIONS B: Applications Vol. 27, No. 11, 1787-1794.
Ivanov, V., Dehtiarov, I., Denysenko, Y., Malovana N., Martynova N. (2018) Experimental Diagnostic Research Of Fixture. Diagnostyka. 19(3):3-9. Https://Doi.Org/10.29354/Diag/92293.
 Jiping, L.  Faping, Z.,  Jianhua,  Z.,  Hanbo, Q., & Ning M. (2011), Quantitative Optimization of Workpiece–fixture System's Clamping Forces, International Journal of Computational Intelligence Systems, Vol. 4, (1), 2 .
Jonsson, M. Kihlma, H. (2014), Fixture Design Using Configurators, Robotics Laboratory, Https://Www.Researchgate.Net/Publication/228929382
Kulankara, K., Srinath S., atyanarayana, S. Melkote , N. (2002), Iterative Fixture Layout and Clamping Force Optimization Using the Genetic Algorithm, Journal of Manufacturing Science and Engineering, 2002 by ASME,FEBRUARY, Vol. 124 -119
Kumar K. Siva , Paulraj G. (2014), Analysis and optimization of fixture under dynamic machining condition with chip removal effect, Journal of Intelligent Manufacturing, Vol. 25, (1), pp 85–98.
Melkote, S. N. (2001), Fixture Clamping Force Optimisation and its Impact on Workpiece Location Accuracy, Int J Adv Manuf Technol 17:104–113.
Moshenia, N., Fakharian, A. (2018),Direct Optimal Motion Planning For Omni-Directional Mobile Robots Under Limitation On Velocity And Acceleration, Journal Of Optimization In Industrial Engineering, 22 (2017) 93-101 DOI: 10.22094/Joie.2017.280
Necmettin Kaya (2006), Machining fixture locating and clamping position optimization using genetic algorithms, Journal Computers in Industry archive,  Vol. 57(2),Pp-112-120,doi: 10.1016/j.compind.2005.05.001.
Pansoo Kim And Yu Ding,(2014) Optimal Design Of Fixture Layout In Multistation Assembly Processes, Ieee Transactions On Automation Science And Engineering, Vol. 1, No. 2, October 2004
Selvakumar S., Arulshri K.P., Padmanaban K.P. and Sasikumar K.S.K. (2010), Clamping Force Optimization for Minimum Deformation of Workpiece by Dynamic Analysis of Workpiece-fixture System,World Applied Sciences Journal, 11 (7): 840-846.
Wang, Z. Yang, B.,  Kang, Y. & Yang, Y. (2016), Development of a Prediction Model Based on RBF Neural Network for Sheet Metal Fixture Locating Layout Design and Optimization,Computational Intelligence and Neuroscience, , Article ID 7620438, 6 pages,
Zeshan A., Tipu Sultan, M. A., Zoppi, M. & Rezia, M. (2018), Fixture layout optimization for multi pointrespot welding of sheet metals, Journal of Mechanical Science and Technology 32 (4) 1749-1760.