Siberian State Industrial University, Novokuznetsk, Russia
A. G. Nikitin, Dr. Eng., Prof., Dept. of Mechanics and Mechanical Engineering, e-mail: nikitin1601@yandex.ru
V. N. Berezhansky, Master's Student, e-mail: v.berezanskii@mail.ru

In the drives of many metallurgical machines, lever mechanisms are used, which have a significant disadvantage, which is that their workability is ensured by hinges having clearances in kinematic pairs, due to which additional dynamic shock forces arise during operation. In order to reduce the harmful effect of dynamic loads on the operation of machines, vibration protection systems with damping elastic elements are widely used, which deform during operation. In order to prevent the occurrence of deformations exceeding the permissible values and disrupting the normal operation of the machine, it is necessary to first calculate the value of the deformation that occurs under the influence of an external force. The aim of the work is to study the process of deformation of an elastic pneumatic element under shock load. A method has been developed for calculating the maximum deformation of an elastic pneumatic element made in the form of a cylinder with limited axial and tangential deformation under the impact application of an external force under conditions of absolutely elastic and absolutely inelastic impact. It is established that in the case of an absolutely inelastic impact, the deformation is less than in the case of an absolutely elastic impact. Experimental studies of pneumatic devices of the elastic cylinder type with limited axial and tangential deformation under the impact application of an external force have shown that the discrepancy between the experimental results with the theoretical dependencies obtained is less than 8 %.

1. Earles S. W. E., Wu C. L. S. Motion analysis of a rigid-link mechanism with clearance at a bearing, using lagrangian mechanics and digital computation Mechanism 1972. London, England : Institution of Mechanical Engineers, 1973. pp. 83–89.
2. Budd C., Dux F. The effect of frequency and clearance variations on single-degree-of-freedom impact oscillator. J. Sound and Vibrations. 1995. Vol. 184, Iss. 3. pp. 475–502.
3. Dubowsky S., Moening M. F. An experimental and analytical study of impact forces in elastic mechanical systems with clearances. Machine and Mechanisms Theory. 1978. Vol. 13. pp. 451–465.
4. Ivanov A. P. Dynamics of systems with mechanical collisions. Moscow : Mezhdunarodnaya programma obrazovaniya, 1997. 336 p.
5. Brach R. M. Moments between impacting rigid bodies. Trans. ASME, I. Mech. Design. 1981. Vol. 103, Iss. 10. pp. 812–817.
6. Hogan S. On the dynamics of rigid-block motion under harmonic forcing. Proceedings of the Royal Society А. 1989. Vol. 425, Iss. 1869. pp. 441–476.
7. Kamesh D., Pandiyan R., Ashitava G. Passive vibration isolation of reaction wheel disturbances using a low frequency flexible space platform. Journal of Sound and Vibration. 2012. Vol. 331. pp. 1330–1334.
8. Kosarev O. I. Active damping of the secondary field of a cylindrical shell in the far zone using driving forces applied to the shell. Problemy mashinostroeniya i nadezhnosti mashin. 2013. No. 1. pp. 10–17.
9. Efremov D. B., Gerasimova A. A., Gorbatyuk S. M., Chichenev N. A. Study of kinematics of elastic-plastic deformation for hollow steel shapes used in energy absorption devices. CIS Iron and Steel Review. 2019. Vol. 18. pp. 30–34.
10. Sorokin V. N., Zakharenkov N. V. Increasing the efficiency of vibration protection based on pneumatic rubber-cord devices. Omskiy nauchny vestnik. Seriya Aviatsionno-raketnoe i energeticheskoe mashinostroenie. 2017. Vol. 1. No. 1. pp. 50–56.
11. Shaw S. W., Holmes P. J. A periodically forced impact oscillator with large dissipation. Journal of Applied Mechanics. 1983. Vol. 50. pp. 849–857.
12. Buryan Yu. A., Sorokin V. N., Zelov A. F. Development and research of a mathematical model of a combined vibration protection system based on pneumatic rubber-cord devices. Omskiy nauchny vestnik. 2016. No. 4 (148). pp. 19–23.
13. Nikitin A. G., Chainikov K. A. Calculation of the deformation of an elastic cylindrical element of a pneumatic shock absorber. Vestnik mashinostroeniya. 2011. No. 8. pp. 23–25.
14. Nikitin A. G., Abramov A. V., Bazhenov I. A. Elastic pneumatic cylinder for vibration suppression in slip bearings. Steel in Translation. 2018. Vol. 48. No. 8. pp. 501–504.
15. Yablonsky A. A., Nikiforova V. M. Course in theoretical mechanics: textbook for universities. 13^th edition, revised. Moscow : Integral-Press, 2006. 608 p.
16. Nikitin A. G., Abramov A. V., Bazhenov I. A. Experimental study of jaw crushers equipped with elastic pneumatic elements at the joints of kinematic pairs. Izvestiya vuzov. Chernaya metallurgiya. 2020. Vol. 63. No. 2. pp. 166–168.