Calculation of stress-strain state of stamp rigging elements

Authors

  • Наталья Анатольевна Демина Tavria State Agrotechnological University, Khmelnitskiy Av., 18, Melitopol, Ukraine, 72312, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.19423

Keywords:

stress-strain state, stamp, contact interaction, stamp rigging element, technological system

Abstract

The approach to the study of the stress-strained state of stamp rigging elements, taking into account the contact interaction is proposed in the paper. For this purpose, the integrated mathematical model was proposed, differing by the new approach: to determine the stress-strain state, instead of the traditional single-level mathemati­cal model, the integrated multi-level mathematical model is used, taking into account the contact interaction of punches, matrixes and punch-matrixes, blanks and base plates of stamps.

The first-level model is the most effective in terms of assessment of SSS (stress-strain state) of cutting elements of SD (shearing die). Each element of the technological system in it is considered separately from the others, and the interaction forces are known from previous experimental, analytical and numerical studies.

The second-level model considers the contact interaction of ele­ments of stamps with the blank, but only up to the stage of plastic deformation of the stamped material.

The entire interaction process up to the modeling of the division of stamped material is investigated using the third-level mathemati­cal model.

Undoubted advantage of the models of the second and third levels is the ability to determine the contact zones and contact forces, arising between the elements of stamps and blank.

The developed integrated mathematical model is realized in the form of the set of models using the method of finite elements, which allow to conduct a great number of multivariate studies of the stress-strained state of the shearing dies in the automated mode. This makes them valuable for carrying out scientific researches and practical calculations.

Author Biography

Наталья Анатольевна Демина, Tavria State Agrotechnological University, Khmelnitskiy Av., 18, Melitopol, Ukraine, 72312

Candidate of technical sciences (Ph.D)

Department of mathematics and physics

References

  1. Заярненко, Е. И. Разработка математических моделей и расчеты на прочность разделительных переналаживаемых штампов: дисс… доктора техн. наук: спец. 01.02.06 и 05.03.05 / Заярненко Евгений Иванович. – Харьков, 1992. – 280 с.
  2. Демина, Н. А. Совершенствование методов расчета элементов штамповой оснастки на основе анализа их напряженно-деформированного состояния: дисс… кандидата техн. наук: спец. 05.03.05/ Демина Наталья Анатольевна. – Харьков, 2011. – 187 с.
  3. Демина, Н. А. Моделирование контактного взаимодействия элементов штамповой оснастки / Н. А. Ткачук, Н. А. Демина, Ю. Д. Сердюк [и др.] // Обработка материалов давлением: сборник научных трудов. – Краматорск: ДГМА, 2010. – № 2 (23). – С. 240-248.
  4. Jiang Pledgers О. Combined Lagrangian Multiplier and Penalty Function Finite Element Technique for Elastic Impact Analysis / О. Jiang Pledgers // Computers and Structures. – 1988. –Vol. 30. – P. 1219-1229.
  5. Колтунов, М. А. Прикладная механика деформируемого твердого тела / М. А. Колтунов, А. С. Кравчук, В. П. Майборода. – М.: Высш. школа, 1983. – 349 с.
  6. Джонсон К. Механика контактного взаимодействия / К. Джонсон. – М.: Мир, 1989. – 510 с.
  7. Popat P. В. Finite -element analysis of the blanking process // Journal of Mechanical Working Technology / P. В. Popat, A. Ghosh, N. N. Kishore. – Amsterdam. – 1989. – 18. – № 3. – РP.269-282.
  8. Ghosh A. A new approach to the mechanics of the blanking operation: theoretical model and experimental verification / A. Ghosh, V. Raqhu Ram, P. B. Popat // Journal of Mechanical Working Technology. – 1985. – 11, № 2. – РР. 215-228.
  9. Kuich G. Applications of the Boundary Elements Method to Contact Problem / G. Kuich // Proc. BETEC 86. Computational Mechanics Publications. – 1986. – P. 488-519.
  10. Cescotto S. Large Strain Dynamic Analysis Using Solid and Contact Finite Elements Based on a Mixed Formulation - Application to Metalforming / S. Cescotto, Y. Y. Zhu // Journal of Metals Processing Technology. – 1994. – Vol. 45. – P. 657-663.
  11. Wriggers Н. Finite Element Formulation of Large Deformation Impact-Contact Problems with Friction / Н. Wriggers, Van Vu, J. Stein // Computers and Structures. – 1990. – Vol. 37. – P. 319-331.
  12. Zayarnenko, E. I. (1992). Development of mathematical models and strength calculations of dividing re-adjusting stamps, 280.
  13. Dyomina, N.A. (2011). Perfection of calculation methods for stamp rigging elements on the basis of analysis of their stress-strain state, 187.
  14. Tkachuk, N. A., Dyomina, N. A., Serdyuk, Y. D. (2010). Modeling of contact interaction of stamp rigging elements. Processing of materials by pressure: collection of scientific works. Kramatorsk: DSMA, 2 (23), 240-248.
  15. Jiang, P. О. (1988). Combined Lagrangian Multiplier and Penalty Function Finite Element Technique for Elastic Impact Analysis. Computers and Structures, 30, 1219-1229.
  16. Koltunov, M. A., Kravchuk, M.A., Mayboroda, V.P. (1983). Applied mechanics of deformed solid bodies, 349.
  17. Johnson, K. (1989). Mechanics of contact interaction, 510.
  18. Popat, P. В., Ghosh, A., Kishore, N. N. (1989). Finite -element analysis of the blanking process. Journal of Mechanical Working Technology. Amsterdam, 18, 3, 269-282.
  19. Ghosh, A., Raqhu Ram, V., Popat, P.B. (1985). A new approach to the mechanics of the blanking operation: theoretical model and experimental verification. Journal of Mechanical Working Technology, 2, 215-228.
  20. Kuich, G. (1986). Applications of the Boundary Elements Method to Contact Problem. Proc. BETEC 86. Computational Mechanics Publications, 488-519.
  21. Cescotto, S., Zhu, Y.Y. (1994). Large Strain Dynamic Analysis Using Solid and Contact Finite Elements Based on a Mixed Formulation - Application to Metalforming. Journal of Metals Processing Technology, 45, 657-663.
  22. Wriggers, Н., Van Vu, Stein, J. (1990). Finite Element Formulation of Large Deformation Impact-Contact Problems with Friction. Computers and Structures, 37, 319-331.

Downloads

Published

2013-12-12

How to Cite

Демина, Н. А. (2013). Calculation of stress-strain state of stamp rigging elements. Eastern-European Journal of Enterprise Technologies, 6(7(66), 41–44. https://doi.org/10.15587/1729-4061.2013.19423

Issue

Vol. 6 No. 7(66) (2013): Applied mechanics

Section

Applied mechanics

License

Copyright (c) 2014 Наталья Анатольевна Демина

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.