The Influence of Geometrical Parameters on the Rigidity of Couplings with Elastic Metal Elements of Circular Cross Section

The main characteristic of couplings is rigidity. In couplings with elastic metal elements in the form of rods, rigidity chiefly depends on the flexural rigidity and the free length of the rods, as well as on the contact compliance and the gap between the diameters of the rod and the hole in the half-coupling, into which the rod is inserted. The influence of these parameters on the contact pressure and the stress concentration, estimated by means of the theoretical stress concentration factor is examined. The numerical study of the contact interaction of the rod — half-coupling pair is conducted using the factor analysis. It is established that in addition to the flexural rigidity and the free length of the rods, the gap between the diameters of the rod and the hole in the half-coupling into which the rod is inserted has the greatest effect on rigidity. The calculations are carried out using the ANSYS software (version R17, Academic). The results obtained are presented in the form of graphs of the dependences of the relative deflection, the relative contact pressure and the theoretical coefficient of stress concentration on the relative gap.

References

[1] Dunaev P.F., Lelikov O.P. Konstruirovanie uzlov i detalei mashin [Designing machine components and parts]. Moscow, Akademiia publ., 2004. 496 p.

[2] Tashkinova E.V. Mekhanicheskie mufty [Mechanical couplings]. Perm, PSTU publ., 2012. 27 p.

[3] Ziablikov V.M., Shirshov A.A. Raschet zhestkosti muft s uprugimi elementami v vide stal’nykh sterzhnei kruglogo secheniia [The calculation of the stiffness of joints with elastic elements in the form of steel bars of round section]. Spravochnik. Inzhenernyi zhurnal s prilozheniem [Handbook. An Engineering journal with appendix]. 2014, no. 8, pp. 26–30.

[4] Feodos’ev V.I. Soprotivlenie materialov [Strength of materials]. Moscow, Bauman Press, 1999. 592 p.

[5] Kaplun A.B., Morozov E.M., Olfer’eva M.A. ANSYS v rukakh inzhenera [ANSYS in the hands of an engineer]. Moscow, Editorial URSS publ., 2003. 272 p.

[6] Rao S.S. The Finite Element Method in Engineering. Elsevier, UK, 2011. 726 p.

[7] Fischer-Cripps A.C. Introduction to Contact Mechanics. Springer-Verlag, US, 2007. 248 p.

[8] Wriggers P., Laursen T.A. Computational Contact Mechanics. Springer, 2008. 248 p.

[9] Sidniaev N.I. Teoriia planirovaniia eksperimenta i analiz statisticheskikh dannykh [Theory of experiment planning and statistical data analysis]. Moscow, Iurait publ., 2011. 399 p.

[10] Freeman L.J., Ryan A.G., Kensler J.L., Dickinson R.M., Vining G.G. A Tutorial on the Planning of Experiments. Quality Engineering, 2013, vol. 25, is. 4, pp. 315–332.

[11] Dean A., Voss D., Draguljić D. Design and Analysis of Experiments. New York, Springer, 2017. 847 p.