Acta Mechanica Slovaca 2016, 20(2):6-15 | DOI: 10.21496/ams.2016.009

Mathematical Model of the Fixture Flexibility Impact on Machining Accuracy of Levers

Vitalii Ivanov1,*, Ivan Dehtiarov1, Ivan Pavlenko2
1 Sumy State University, Faculty of Technical Systems and Energy Efficient Technologies, Department of Manufacturing Engineering, Machines and Tools, 2 Rymskogo-Korsakova St., Sumy 40007, Ukraine
2 Sumy State University, Faculty of Technical Systems and Energy Efficient Technologies, General Mechanics and Machine Dynamics, 2 Rymskogo-Korsakova St., Sumy 40007, Ukraine

Flexible fixtures increasingly acquire an extension in up-to-date manufacturing engineering, albeit an attempt to determine the impact of the flexibility on the fixture accuracy parameters was not performed in previous research. The aim of this work is determination the opportunity to provide dimension accuracy for lever machining in the high-flexible fixture. Experimental values of displacements of the elements of the system "fixture - workpiece" for the different levels of fixture flexibility were obtained by means of finite elements analysis. On the example of levers machining it was stated that increasing the fixture flexibility allows receiving in a certain range the required dimension accuracy of the parts. Displacements were used for obtaining the mathematical model of the fixture accuracy depending on fixture flexibility. This model in case of levers machining describes by nonlinear function of evaluated flexibility indicators. The method of quasilinear evaluation of the parameters was used for identification the design flexibility by minimization of the total square deviation using the iteration procedure.

Keywords: complex part, lever, mathematical model, deviation, multiaxis machining, flexibility, system "fixture -workpiece", stiffness

Published: October 31, 2016  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Ivanov, V., Dehtiarov, I., & Pavlenko, I. (2016). Mathematical Model of the Fixture Flexibility Impact on Machining Accuracy of Levers. Acta Mechanica Slovaca, 20(2), 6-15. doi: 10.21496/ams.2016.009
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. Karpus, V.E., Ivanov, V.O., Kotliar, O.V. et al. (2012). Intensification of Manufacturing Processes. Sumy State University, Sumy [in Ukrainian].
    2. Ivanov, V.O., Dehtiarov, I.M., Kushnirov, P.V. Patent of Ukraine № 71870. Adjustable Locating Module (2012) [in Ukrainian].
    3. Ivanov, V.O., Dehtiarov, I.M. Patent of Ukraine № 96399. Adjustable Locating Module (2015) [in Ukrainian].
    4. Ivanov, V.O., Karpus, V.E. Patent of Ukraine № 60130. Adjustable Locating Module (2011) [in Ukrainian].
    5. Ivanov, V.O., Karpus, V.E., Romanenko, I.V. Patent of Ukraine № 67918. Adjustable Locating Module (2012) [in Ukrainian].
    6. Ivanov, V.O., Karpus, V.E. Patent of Ukraine № 59745. Adjustable Locating Module (2011) [in Ukrainian].
    7. Karpus, V.E., Ivanov, V.O. Patent of Ukraine № 31416. Adjustable Locating V-block (2006) [in Ukrainian].
    8. Karpus, V.E., Ivanov, V.O. Patent of Ukraine № 30999. Adaptable Arbor (2006) [in Ukrainian].
    9. Ivanov, V.O., Dehtiarov, I.M. Patent of Ukraine № 95074. Adjustable Locating Module (2014) [in Ukrainian].
    10. Ivanov, V.O., Dehtiarov, I.M. Patent of Ukraine № 105296. Adjustable Locating Module (2016) [in Ukrainian].
    11. Karpus V.E. & Ivanov V.A. (2012). Locating accuracy of shafts in V-blocks. Russian Engineering Research, 32 (2), 144-150. Go to original source...
    12. Karpus, V.E., Ivanov, V.O., Minenko D.O. & Dehtiarov I.M. (2012). Rapid-Adjustable Locating Modules for Prismatic Parts. New Materials and Technologies in Metallurgy and Manufacturing, 2 (27), 91-94 [in Ukrainian].
    13. Sethi, A.K. & Sethi, P.S. (1990). Flexibility in Manufacturing : A Survey. The International Journal of Flexible Manufacturing Systems, 2, 289-328. Go to original source...
    14. De Toni, A. & Tonchia, S. (1998). Manufacturing flexibility: A literature review. International Journal of Production Research, 36 (6), 1587-1617. Go to original source...
    15. Shewchuk, J.P. & Moodie, C.L. (1998). Definition and classification of manufacturing flexibility types and measures. International Journal of Flexible Manufacturing Systems, 10 (4), 325-349. Go to original source...
    16. Parker, R.P. & Wirth, A. (1999). Manufacturing flexibility: Measures and relationships. European Journal of Operational Research, 118 (3), 429-449. Go to original source...
    17. Terkaj, W., Tolio, T. & Valente, A. (2009). A review on manufacturing flexibility. Design of flexible production systems: Methodologies and tools (pp. 41-61). Go to original source...
    18. Rogers, P.P., Ojha, D. & White, R.E. (2011). Conceptualising complementarities in manufacturing flexibility: A comprehensive view. International Journal of Production Research, 49 (12), 3767-3793. Go to original source...
    19. Jain, A., Jain, P.K., Chan, F.T.S. & Singh, S. (2013). A review on manufacturing flexibility. International Journal of Production Research, 51 (19), 5946-5970. Go to original source...
    20. Busch, J., Görke, M. & Krämer, D. (2014). An approach to analyse the volume flexibility of production systems. doi: 10.4028/www.scientific.net/AMR.1018.605.
    21. Seebacher, G. & Winkler, H. (2014). Evaluating flexibility in discrete manufacturing based on performance and efficiency. International Journal of Production Economics, 153, 340-351. Go to original source...
    22. Purvis, L., Gosling, J. & Naim, M.M. (2014). The development of a lean, agile and leagile supply network taxonomy based on differing types of flexibility. International Journal of Production Economics, 151, 100-111. Go to original source...
    23. Yu, K., Cadeaux, J. & Luo, B.N. (2015). Operational flexibility: Review and meta-analysis. International Journal of Production Economics, 169, 190-202. Go to original source...
    24. Balog, M. & Husár, J. (2016). Methodical Framework of Flexibility Production Evaluation in Terms of Manufacturing Plant. Key Engineering Materials, 669, 568-577. Go to original source...
    25. Beach, R., Muhlemann, A.P., Price, D.H. et al. (2000). A review of manufacturing flexibility. European Journal of Operational Research,122, 41-57. Go to original source...
    26. Pérez Pérez, M., Serrano Bedia, A.M. & López Fernández, M.C. (2016). A review of manufacturing flexibility: systematising the concept, International Journal of Production Research, 54, 3133-3148. Go to original source...
    27. Chambers, S. (1995). Flexibility in the Context of Manufacturing Strategy. Manufacturing Strategy: Process and Content. Chapman & Hall, London, 283-295.
    28. Gaimon, C. & Singhal, V. (1992). Flexibility and the choice of manufacturing facilities under short product life cycles. European Journal of Operational Research, 60, 211-223. Go to original source...
    29. Deshmukh, A., Talavage, J. & Barash, M. (2002). Complexity in Manufacturing Systems. IIE Transactionon Manufacturing Systems, 30, 645-655. Go to original source...
    30. Calinescu, A., Sivadasan, S., Schirn, J. & Huaccho, L. (2003). Complexity in Manufacturing: An Information Theoretic Approach. Technical Report, Manufacturing System Research Group, Department of Engineering Science, University of Oxford, England.
    31. Correa, H.L. (1994). Linking Flexibility, Uncertainty and Variability in Manufacturing Systems: Managing Unplanned Change in the Automative Industry, Avebury, Gover Publishing, UK.
    32. Pelaez, J. & Ruiz, J. (2004). Measuring Operational Flexibility. Technical Report, Faculty of Economy and Enterprise, University of Murcia, Spain.
    33. Benjaafar, S. & Ramakrishman, R. (1996). Modeling, measurement and evaluation of sequencing flexibility in manufacturing systems. International Journal of Production Research, 34, 1195-1220. Go to original source...
    34. Kaschel, H. & Sánchez y Bernal, L.M. (2006). Importance of Flexibility in Manufacturing Systems. International Journal of Computers, Communications & Control, 1 (2), 53-60. Go to original source...
    35. Kumbhar, N., Patil, G., Mohite, S. & Sutar, M. (2012). Finite element modelling and analysis of workpiece-fixture system. International journal of Applied Research in Mechanical Engineering, 2 (2), 60-65.
    36. Papastathis, T.N. et al. (2012). Dynamics model of active fixturing systems for thin-walled parts under moving loads. International Journal of Advanced Manufacturing Technology, 9, 1233-1247. Go to original source...
    37. Tadich, B., Todorovich, P., Novkinich, B. et al. (2015). Fixture layout design based on a single surface clamping with local deformation. International Journal of Simulation Modelling, 3, 379-391. Go to original source...
    38. Kang, Y., Rong, Y. & Yang, J.C. (2003). Computer-Aided Fixture Design Verification. Part 3. Stability Analysis. International Journal of Advanced Manufacturing Technology, 9, 842-849. Go to original source...
    39. Asante, J.N. (2010). Effect of Fixture Compliance and Cutting Conditions on Workpiece Stability International Journal of Advanced Manufacturing Technology, 48, 33-43. Go to original source...
    40. Wang, M.Y. (2002). Tolerance analysis for fixture layout design. Assembly Automation, 22, 153-162. Go to original source...
    41. Valandi, K., Vijaukumar, M. & Kumar, K.S. (2014). Development, Fabrication and Analysis of Fixture. International Journal of Innovative Research in Science, Engineering and Technology, 3, 11414-11416.
    42. Ivanov, V.O., Dehtiarov, I.M., Karpus, V.E. Patent of Ukraine № 98925. Adjustable Locating-and-Clamping Module for Machining of Levers (2015) [in Ukrainian].
    43. Ivanov, V.O., Karpus, V.E., Dehtiarov, I.M. et al. (2015). Numerical Modeling of Fixtures for Machining of Levers. Bulletin of NTU "KhPI". Series: Technologies in mechanical engineering, 4 (1113), 110-115 [in Ukrainian].

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content