Journals →  Chernye Metally →  2022 →  #4 →  Back

Mechanical Engineering Technologies
ArticleName Influence of elastic deformations of a non-rigid box blanks, limited by the fixture design, on the accuracy of machined surfaces
DOI 10.17580/chm.2022.04.12
ArticleAuthor E. A. Danilenko, A. S. Yamnikov, A. A. Malikov

Tula State University, Tula, Russia:

E. A. Danilenko, Postgraduate Student, Dept. of Mechanical Engineering Technology, e-mail:
A. S. Yamnikov, Dr. Eng., Professor, Dept. of Mechanical Engineering Technology, e-mail:
A. A. Malikov, Dr. Eng., Head of the Dept. of Mechanical Engineering Technology, e-mail:


An analysis is given of the forced alignment of inaccurate base surfaces of the workpiece with the exact base surfaces of the fixture by applying a distributed load to it with the help of rigid fixture elements that have the correct geometric shape. As a rigid element, a prismatic insert with cutouts on the upper and lower surfaces is used, which is installed inside the box-shaped housing made of sheet 1.5 GOST 19904-90 made of 30XGSA steel. It is shown that this eliminates the uncertainty of basing, which creates the prerequisites for increasing the accuracy of machining and increases the rigidity of the fixed workpiece, which helps to reduce vibrations and improve the quality of the machined surface. It has been established that there is an optimal width of the insert cutout on the base-clamping surface, at which the elastic deformations of the base surface of the workpiece are within acceptable limits. The rational value of the liner cutout width should be either less than 55 mm or more than 70 mm. Such fastening causes additional errors in the position of the side surfaces of the housing, which are the measuring bases for milled surfaces and drilled holes. In the work, their numerical evaluation was carried out, which showed that the elastic displacements of the surfaces, which are the measuring bases, are within acceptable limits. It has been established that if the workpiece was sent to a fixed mounting base using an adjustable bracket and fixed without applying clamping forces, then in this case a more uniform and smaller (about 0.01-0.08 mm) elastic deformation of the side walls of the workpiece occurs, than when fixing with a force (about 0.02-0.20 mm.).

keywords Non-rigid workpiece, box body, basing, clamping, modeling, displacements, stresses, elastic deformations, coordinate accuracy, dimensions

1. Cowin S. C. Continuum mechanics of anisotropic materials. New York: Springer, 2013. 438 p.
2. GOST 19904–90. Cold-rolled steel sheets. Dimensions. Introduced: 01.01.1991. Moscow: Izdatelstvo standartov, 1990.
3. GOST 11268–76. Alloyed structural high-grade rolled steel sheets for special purposes. Specifications. Introduced: 01.01.1978. Moscow: Izdatelstvo standartov, 1976.
4. Yamnikov А. S., Danilenko Е. А., Kornev О. А., Malikov А. А. Elastic-hereditary errors of fixation of non-rigid box blanks. Chernye Metally. 2021. No.10. pp. 68–77.
5. Vasilyev А. S. Technological inheritance in mechanical engineering. Vestnik Rybinskoy gosudarstvennoy aviatsionnoy tekhnologicheskoy akademii imeni P. А. Solovyeva. 2017. No. 1(40). pp. 198–202.
6. Younas N., Chalal H., Abed-Meraim F. Finite element simulation of sheet metal forming processes using non-quadratic anisotropic plasticity models and solid-shell finite elements. 23rd International Conference on Material Forming, ESAFORM. 2020. Vol. 47. pp. 1416–1423.
7. Takahiro M. Deformations of box complexes. Available at: (accessed: 01.04.2022).
8. Kut S., Stachowicz F. Bending moment and cross-section deformation of a box profile. Advances in Science and Technology. Research Journal. 2020. Vol. 14. Iss. 2. pp. 85–93.
9. Shinkin V. N. Simple analytical dependence of elastic modulus on high temperatures for some steels and alloys. CIS Iron and Steel Review. 2018. Vol. 15. pp. 32–38.
10. Ryan W. Working metal – the process of annealing. Thought Co. Available at: (accessed: 01.04.2022).
11. Kukhar V. D., Malyshev А. N., Bessmertnaya Yu. V. Drawing low rectangular boxes from shaped billets. Chernye Metally. 2019. No. 1. pp. 26–33.
12. Chudin V. N. Extraction of box-shaped sheet products. Kuznechno-shtampovochnoe proizvodstvo. 2002. No. 6. pp. 3–8.
13. Vasilyev А. S. Directed formation of operational properties of parts in technological environments. Vestnik Yuzhno-Uralskogo gosudarstvennogo universiteta. Seriya: Mashinostroenie. 2017. Vol. 17. No. 1. pp. 33–40.
14. Hongwei W., Yan R., Shengyong Zh., Yulong Li. Coupling and decoupling measurement method of complete geometric errors for multi-axis machine tools. Applied Sciences. 2020. Vol. 10. pp. 1–19.
15. Söderberg R., Wickman C., Lindkvist L. Improving decision making by simulating and visualizing geometrical variation in non-rigid assemblies. CIRP Annals. 2008. Vol. 57. pp. 175–178.
16. Świć A., Wołos D., Gola A., Kłosowski G. The Use of neural networks and genetic algorithms to control low rigidity shafts machining. Sensors. 2020. Vol. 20. p. 4683.
17. Yamnikov А. S., Danilenko Е. А. Influence of the shape error and the position of the rough base surfaces on the manufacturing accuracy of the “Box” part. Naukoemkie tekhnologii v mashinostroenii. 2021. No. 12. pp. 37–43.
18. Danilenko E. A., Yamnikov A. S. Increasing the accuracy of processing thin-walled box-shaped parts. V International scientific conference "Mechanical Science and Technology Update". 2021. pp. 323–331.
19. GOST 21495–76. Locating and bases in machine building industry. Terms and definitions. Introduced: 01.01.1977. Moscow: Izdatelstvo standartov, 1990.

Language of full-text russian
Full content Buy