The development of triangular kinematic module to calculate the deformation pressure in the extrusion processes
DOI:
https://doi.org/10.37142/2076-2151/2022-1(51)10Keywords:
energy upper bound method, curvilinear kinematic module, modular approach, radial-forward extrusion, tool load, simulation.Abstract
Аliieva L. І., Levchenko V. M., Aliiev I. S., Kartamyshev D. O. The development of triangular kinematic module to calculate the deformation pressure in the extrusion processes
The article presents the universal kinematic module developed on the basis of the energy upper bound method, designed for use in mathematical simulations of combined processes of cold forging. In particular, this module can be used for force regime simulating and tool loads analyzing at radial-forward extrusion of hollow products with blind hole of continuous workpieces to describe deformation zones during metal flow to the center and turn zones from radial flow to backward one. The kinematically possible velocity field for convex curvilinear (parabolic) triangular module and the equations of its parabolic inclined boundary are given. Analytical dependencies for power of deformation forces, friction and shear at the boundaries of the module, as well as for the reduced pressure in a parametric form are obtained. The developed curvilinear kinematic module, the use of which makes it possible to increase the efficiency of the upper bound method for studying the processes of combined extrusion, has been tested and described. It is shown that value of reduced pressure for the curvilinear turn module is most affected by the relative thickness of the flange, its radius, the thickness of the wall of the tubular workpiece, as well as friction conditions. The possibility of correct using of curvilinear triangular module for the analysis of complex schemes of processes with several zones is demonstrated. The simulation for calculation schemes of radial-forward workpiece extrusion with variable flange height was carried out. It has been determined that the developed curvilinear triangular module due to the reducing the value of the velocity jump at its boundaries, makes it possible to reduce the upper estimate of the tool loads in comparison with the variants of simulations that were previously based on rectangular modules.
References
Unksov E.P., Johnson W., Kolmogorov V.L., Ogorodnikov V.A. Theory of Forging and Stamping. Moscow: Machine Building. 1992. 598 p. (in Russian).
Dmitriev A.M., Vorontsov A.L. Technology of forging and volume stamping. Part 1. Volumetric stamping by extrusion: tutorial for higher education institutions. Moscow: Mashinostroyeniye – 1. 2005. 500 p. (in Russian).
Aliiev I.S. Technological possibilities of new methods of combined extrusion. Forging and stamping production. 1990. 2, pp. 7–10. (in Russian).
Kalyuzhnyi V.L., Aliieva L.I., Kartamyshev D.A., Savchinskii I. G. Simulation of Cold Extrusion of Hollow Parts. Metallurgist. 2017. 61. 5-6, pp. 359–365. https://doi.org/10.1007/s11015-017-0501-1
Aliieva L.I. Improvement of combined extrusion processes: monograph. Kramatorsk: LLC "Edition -51". 2018. 352 p. ISBN 978-966-379-846-2. (in Russian).
Balendra R., Qin Y., Mater J. Research dedicated to the development of advanced metal-forming technologies. Process. Technol. 2004. 2, рр. 144–152.
Mletzko Ch., Liewald M., Felde A., Schiemann T. Napf–Fließpressen mit mehreren bewegten Werkzeugelementen zur Reduzierung der Stempelkraft. Schmiede JOURNAL. 2012. September p. 30–33.
Jafarzadeh H., Zadshakoyan M., Sobbouhi E. Abdi. Numerical studies of some important design factors in radial–forward extrusion process. Materials and Manufacturing Processes. 2010. 25, pp. 857–863.
Renne I.P., Sumarokova A.I. Technological possibilities of the process of free extrusion (without die) of hollow parts. Forging and stamping production. 1987. 6, pp. 25–26. (in Russian).
Aliiev I.S., Nosakov A.A., Makhmudov K.D. The method of kinematic modules for the analysis of processes of precise forging. Improvement of processes and equipment of working by pressure in metallurgy and machine-building. Collection of scientific publications. Kramatorsk: DSEA. 2001, pp. 142–146. (in Russian).
Hrudkina Natalia S., Aliieva Leila I. Modeling of cold extrusion processes using kinematic trapezoidal modules. FME Transactions. 2020. 48. 2. pp. 357–363. https://doi.org/10.5937/fme2002357H.
Aliieva L.I., Levchenko V.M., Kartamyshev D.O., Tagan L.V. Analysis of processes of transverse-longitudinal extrusion by the method of kinematic modules. Proceedings of the 7th international scientific and practical conference "Modern technologies of the industrial complex – 2021", issue 7. Kherson: KHNTU. 2021, pp. 37–39. (in Ukrainian).
Aliieva L.I. Simulating of the combined extrusion process of flanges on hollow parts. Bulletin of NTUU "KPI". "Mechanical Engineering" series. 2016. 1(76), pp. 20–30. (in Russian).
Stepanskij L.G. Calculations of Metal Working Processes by Pressure. Moscow: Machine Building. 1982. 217 p. (in Russian).
Aliieva L.I., Kartamyshev D.A., Makhmudov K.D., Chuchin O. V. Power parameters of cold extrusion processes of hollow parts. Bulletin of NTU "KhPI". Kharkiv. 2018. 30 (1306), pp. 3–9. (in Russian).
Aliieva L.I., Levchenko V.M., Kartamyshev D.O., Malii Kh.V. Developing and using of kinematic modules for simulation of transverse-forwd extrusion processes. Bulletin of KhNTU. Kherson. 2021. 4 (79), pp. 11–22. (in Ukrainian).
