The effect of residual stresses on elastic deformations of low-stiffness parts during grinding

Elastic deformations of low-rigidity parts such as rings of small curvature and prismatic rods from the action of residual stresses during flat grinding are determined. The results of experimental determination of residual stresses after grinding and quenching are presented. Analytically by Birger’s method and by the finite element method (application APM FEM COMPASS-3D) determined the maximum deflections of the guide roller bearing LRX 6/350 and the outer ring of the tapered roller bearing U-7866A.01 from the action of residual stresses. Elastic deformations (maximum deflections) of low-rigidity parts such as rings of small curvature and prismatic rods from the action of residual stresses during flat grinding are determined to assess the feasibility of taking them into account when determining the optimal modes and conditions for fixing workpieces. The obtained values of the maximum deflections for the studied parts: 2.44 microns for the guide and 1.29 microns for the ring, are commensurate with the achievable accuracy of the shape of the treated surface (non–flatness) during grinding — 3 microns and must be taken into account when determining the optimal modes and conditions for fixing workpieces of low rigidity during flat grinding.
EDN: FOOVND, https://elibrary/foovnd

References

[1] Chen W., Sun Y. Design of precision linear drives. In: Precision machines. Springer, 2020, pp. 131–154, doi: http://doi.org/10.1007/978-981-13-0381-4_4

[2] Akulov P.A., Petreshin D.I. Justification of the selection of guides for automated test equipment. Pribory i sistemy. Upravlenie, kontrol, diagnostika [Instruments and Systems: Monitoring, Control, and Diagnostics], 2019, no. 3, pp. 1–10. (In Russ.).

[3] Lurye A.M. Relsovye napravlyayushchie kacheniya [Rolling rail guides]. Moscow, Servotekhnika Publ., 2006. 50 p. (In Russ.).

[4] Bushuev V.V., ed. Metallorezhushchie stanki. T. 1 [Metal cutting machines]. Moscow, Mashinostroenie Publ., 2023. 608 p. (In Russ.).

[5] Nosenko V.A., Tyshkevich V.N., Sarazov A.V. Optimization of conditions for non-rigid workpieces flat grinding by elastic deformations controlling. Procedia Eng., 2017, vol. 206, pp. 1173–1178, doi: https://doi.org/10.1016/j.proeng.2017.10.613

[6] Chigirinskiy J.L., Nesterenko P.S., Smirnova E.N. Inspecting the quality of a surface layer in non-rigid shafts turning by adaptive control over the process of cutting. Mater. Sci. Forum, 2019, vol. 973, pp. 212–218, doi: http://doi.org/10.4028/www.scientific.net/MSF.973.212

[7] Suslov A.G., ed. Spravochnik tekhnologa [Technologist’s handbook]. Moscow, Innovatsionnoe mashinostroenie Publ., 2019. 800 p. (In Russ.).

[8] Cai Y., Zhang Z., Xi X. et al. A deformation control method in thin-walled parts machining based on force and stiffness matching via cutter orientation optimization. J. Manuf. Sci. Eng., 2023, vol. 145, no. 3, pp. 1–22, doi: http://doi.org/10.1115/1.4056073

[9] Tyshkevich V.N., Sarazov A.V., Orlov S.V. Algorithm of determination of optimal conditions for low-rigidity prismatic workpieces flat grinding. Key Eng. Mater., 2022, vol. 910, pp. 138–143, doi: https://doi.org/10.4028/p-9542bg

[10] Andryukova E.A., Burkin S.P., Shimov G.V. Ostatochnye napryazheniya v metalloproduktsii [Residual stresses in metal products]. Moscow, Yurayt Publ., 2025. 247 p. (In Russ.).

[11] Nosov N.V., Sysolyatin V.Yu., Salnikov I.N. Investigation of residual stresses during flat grinding with an intermittent abrasive wheel. Izvestiya Samarskogo nauchnogo tsentra RAN [Izvestia RAS SamSC], 2023, vol. 25, no. 4–2, pp. 258–261, doi: https://doi.org/10.37313/1990-5378-2023-25-4(2)-258-261 (in Russ.).

[12] Valetov V.A. Apparatura SITON nerazrushayushchego kontrolya napryazhenno-deformirovannogo sostoyaniya v metallakh i splavakh i ee effektivnoe primenenie. Nauchno-tekhnicheskiy vestnik SPbGU ITMO [Sci. Tech. J. Inf. Technol. Mech. Opt.], 2005, no. 4, pp. 265–269. (In Russ.).

[13] Zaydes S.A., ed. Spravochnik po protsessam poverkhnostnogo plasticheskogo deformirovaniya. T. 2 [Handbook of surface plastic deformation processes. Vol. 2]. Irkutsk, Izd-vo IRNITU Publ., 2022. 584 p. (In Russ.).

[14] Birger I.A., Shorr B.F., Iosilevich G.B. Raschet na prochnost detaley mashin [Strength calculation of machine parts]. Moscow, Mashinostroenie Publ., 1993. 639 p. (In Russ.).

[15] Indikatory IChTs 10 — 25 GOST [Indicators ICHTS 10 - 25 GOST]. wikselen.ru: website. URL: https://www.wikselen.ru/shop/indikatory-tsifrovyie-indikatori-electro-otechestvennie/?ysclid=maqhij8ii2959362802 (accessed: 20.05.2025). (In Russ.).