Laboratory experimental study of contact interaction between cut shells and resilient bodies

Abstract: The study presented herein describes promising designs of shell vibration isolators. The feature of the proposed designs is the cut thin-walled shell usage as the main bearing link. These resilient elements have high load capacity and, on the other hand, can provide the desired level of damping. From the point of view of mechanics, shell resilient elements are considered as the deformable systems with dry friction. When simulating these systems, structurally nonlinear non-conservative mixed contact issues of cut shell – resilient body frictional interaction arise. In order to take into account all essential options of the aforementioned issues and specify shell resilient element peculiarities of behavior under operational loads, the authors used the method of laboratory experiments for research. We considered two different contact systems. The first one is a cylindrical shell cut along its generatrix, which contacts a deformable filler. The second system is a cylindrical shell with several incomplete slots interacting with the elastic filler. The stress state and radial displacements of the shells, pliability of the resilient elements, and energy dissipation in the contact systems were time-tracked. As a result, we obtained relations for monitored options of the contact bodies and deformation diagrams for different physical-mechanical and geometrical options of the systems It was found that for a fixed cycle asymmetry coefficient with an increase in the friction coefficient between the shell and the filler, the amount of energy dissipated per cycle gradually decreases. The idea of optimizing shell vibration protection devices according to the criterion of maximum absorption of energy from external influences by determining the required tribological properties of contacting pairs is declared.

How to cite this paper

 Velychkovych, A., Bedzir, O & Shopa, V. (2021). Laboratory experimental study of contact interaction between cut shells and resilient bodies.Engineering Solid Mechanics, 9(4), 425-438.

Refrences

Bedzir, O. O., & Shopa, V. M. (2010). Contact interaction of a slotted cylindrical shell and a deformable filler with regard for dry friction. Journal of Mathematical Sciences, 168(5), 665–672.
Bedzir, A. A., Shatskii, I. P., & Shopa, V. M. (1995). Nonideal contact in a composite shell structure with a deformable filler. International Applied Mechanics, 31(5), 351–354.
Bulbuk, O., Velychkovych, A., Mazurenko, V., Ropyak, L., & Pryhorovska, T. (2019). Analytical estimation of tooth strength, restored by direct or indirect restorations. Engineering Solid Mechanics, 7(3), 193–204.
Chudyk, I., Raiter, P., Grydzhuk, Y., & Yurych, L. (2020). Mathematical model of oscillations of a drill tool with a drill bit of cutting-scraping type. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 1, 52–57.
Dalyak, T. (2019). Investigation of the interaction of two parallel shifted cracks in plate bending adjusted for their closure. Theoretical and Applied Mechanics, 46(2), 147–155.
Dalyak, T. M. (2004). Bending of a plate containing a periodic system of shifted parallel cracks whose lips are in contact. Materials Science, 40(1), 139–143.
Dutkiewicz, M., Gołębiowska, I., Shatskyi, I., Shopa, V., & Velychkovych, A. (2018). Some aspects of design and application of inertial dampers. MATEC Web of Conferences, 178, 06010.
Grydzhuk, J., Chudyk, I., Velychkovych, A., & Andrusyak, A. (2019). Analytical estimation of inertial properties of the curved rotating section in a drill string. Eastern-European Journal of Enterprise Technologies, 1(7–97), 6–14.
Kolesov, V. S., Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1992). The stress-deformation state of an elastic half-space with a spheroidal thermal inclusion. International Applied Mechanics, 28(7), 426–434.
Kolesov, V. S., Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1993). The stress concentration in an elastic ball with nonconcentric spherical cavity. Journal of Soviet Mathematics, 63(3), 335–339.
Kravchuk A. S., Neittaanmäki P. J. Variational and Quasi-Variational Inequalities in Mechanics. – Springer-Verlag Berlin, 2007. – 338 P.
Kryzhanivs’kyi, E. I., Rudko, V. P., & Shats’kyi, I. P. (2004). Estimation of admissible loads upon a pipeline in the zone of sliding ground. Materials Science, 40(4), 547–551.
Levchuk, K. G. (2017). Investigation of the vibration transfer process to a stuck drill string. In SOCAR Proceedings, 2, 23–33.
Levchuk, K. G. (2018). Diagnosis of catches of metal drill pipes by their stress-strain state in a sloping well. Metallofizika i Noveishie Tekhnologii, 40(5), 701–712.
Li, X., Yang, Y. & Shi, W. (2019). Study on the Damping Effect of Particle Dampers considering Different Surface Properties. Shock and Vibration, 2019, Article ID 8293654.
Martynyak, R. M., Prokopyshyn, I. A., & Prokopyshyn, I. I. (2015). Contact of Elastic Bodies with Nonlinear Winkler Surface Layers. Journal of Mathematical Sciences, 205(4), 535–553.
Panevnik, D. A., & Velichkovich, A. S. (2017). Assessment of the stressed state of the casing of the above-bit hydroelevator. Neftyanoe Khozyaystvo – Oil Industry, 1, 70–73.
Popadyuk, І. Yo., Shats’kyi І. P., Shopa V. М., & Velychkovych A. S. (2016). Frictional interaction of a cylindrical shell with deformable filler under nonmonotonic loading. Journal of Mathematical Sciences, 215(2), 243–253.
Pryhorovska, T. (2018). Rock heterogeneity numerical simulation as a factor of drill bit instability. Engineering Solid Mechanics, 6(4), 315–330.
Pryhorovska, T. A., & Chaplinskiy, S. S. (2018). Finite element modeling of rock mass cutting by cutters for PDC drill bits. Neftyanoe Khozyaystvo - Oil Industry, 1, 38–41.
Pryhorovska, T., & Ropyak, L. (2019). Machining Error Influnce on Stress State of Conical Thread Joint Details. In Proceedings of the International Conference on Advanced Optoelectronics and Lasers, CAOL, 2019, 493–497.
Ropyak, L. Y., Shatskyi, I. P., & Makoviichuk, M. V. (2019). Analysis of interaction of thin coating with an abrasive using one-dimensional model. Metallofizika i Noveishie Tekhnologii, 41(5), 647–654.
Saakiyan, L. S., Efremov, A. P., & Ropyak, L. Y. (1989). Effect of stress on the microelectrochemical heterogeneity of steel. Protection of Metals (English Translation of Zaschita Metallov), 25(2), 185–189.
Saakiyan, L. S., Efremov, A. P., Ropyak, L. Y., & Gorbatskii, A. V. (1987). A method of microelectrochemical investigations. Soviet Materials Science, 23(3), 267–269.
Sarwar, W., & Sarwar, R. (2019). Vibration Control Devices for Building Structures and Installation Approach: A Review. Civil and Environmental Engineering Reports, 29, 74–100.
Shats’kyi, I. P., & Struk, A. B. (2009). Stressed state of pipeline in zones of soil local fracture. Strength of Materials, 41(5), 548–553.
Shats’kyi, P. (2015). Limiting Equilibrium of a Plate with Partially Healed Crack. Materials Science, 51(3), 322–330.
Shats’kyi, I. P., & Makoviichuk, M. V. (2005). Сontact interaction of crack lips in shallow shells in bending with tension. Materials Science, 41(4), 486–494.
Shats’kyi, I. P., & Makoviichuk, M. V. (2009). Analysis of the limiting state of cylindrical shells with cracks with regard for the contact of crack lips. Strength of Materials, 41(5), 560–565.
Shats’kyi, I. P., Lyskanych, O. M. & Kornuta, V. A. (2016). Combined Deformation Conditions for Fatigue Damage Indicator and Well-Drilling Tool Joint. Strength of Materials, 48, 469–472.
Shatskii, I. P., & Perepichka, V. V. (2013). Shock-wave propagation in an elastic rod with a viscoplastic external resistance. Journal of Applied Mechanics and Technical Physics, 54(6), 1016–1020.
Shatskii, I. P., & Makoviichuk, N. V. (2011). Effect of closure of collinear cracks on the stress-strain state and the limiting equilibrium of bent shallow shells. Journal of Applied Mechanics and Technical Physics, 52(3), 464–470.
Shatskyi, I. P., Perepichka, V. V., & Ropyak, L. Y. (2020). On the influence of facing on strength of solids with surface defects. Metallofizika i Noveishie Tekhnologii, 42(1), 69–76.
Shatskyi, I., Ropyak, L., & Velychkovych, A. (2020). Model of contact interaction in threaded joint equipped with spring-loaded collet. Engineering Solid Mechanics, 8(4), 301–312.
Shatskyi, I., & Velychkovych, A. (2019). Increase of compliance of shock absorbers with cut shells. In IOP Conference Series: Materials Science and Engineering, 564, 012072.
Shatskyi, I., Popadyuk, I., & Velychkovych, A. (2018). Hysteretic Properties of Shell Dampers. In: Awrejcewicz J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, 249. Springer, Cham, 343–350.
Shatskyi, I., Velychkovych, A., Vytvytskyi, I., & Seniushkovych, M. (2019). Analytical models of contact interaction of casing centralizers with well wall. Engineering Solid Mechanics, 7(4), 355–366.
Shopa, V. M., Shatskii, I. P., & Popadyuk, I. I. (1989). Elementary calculation of structural damping in shell springs. Soviet Engineering Research, 9(3), 42–44.
Sol-Sánchez, M., Moreno-Navarro, F., & Rubio-Gámez, C. (2015). The use of elastic elements in railway tracks: A state of the art review. Construction and Building Materials, 75, 293–305.
Tatsiy, R. M., Pazen, O. Y., Vovk, S. Y., Ropyak, L. Y., & Pryhorovska, T. O. (2019). Numerical study on heat transfer in multilayered structures of main geometric forms made of different materials. Journal of the Serbian Society for Computational Mechanics, 13(2), 36–55.
Valeev, A., Zotov, A., & Kharisov, Sh. (2015). Application of Disk Springs for Manufacturing Vibration Isolators with Quasi-Zero Stiffness. Chemical and Petroleum Engineering, 51(3), 194–200.
Velichkovich, A. S. (2007). Design features of shell springs for drilling dampers. Chemical and Petroleum Engineering, 43(7–8), 458–461.
Velichkovich, A. S., & Velichkovich, S. V. (2001). Vibration-impact damper for controlling the dynamic drillstring conditions. Chemical and Petroleum Engineering, 37(3–4), 213–215.
Velichkovich, A., Dalyak, T., & Petryk, I. (2018). Slotted shell resilient elements for drilling shock absorbers. Oil and Gas Science and Technology, 73 (34).
Velichkovich, S. V., Popadyuk, I. I., Shatskii, I. P. & Shopa, V. M. (1991). Structural hysteresis in a shell-type vibration damper with distributed friction. Strength of Materials, 23(3), 279–281.
Velychkovych, A. S., Andrusyak, A. V., Pryhorovska, T. O., & Ropyak, L. Y. (2019). Analytical model of oil pipeline overground transitions, laid in mountain areas. Oil and Gas Science and Technology, 74, аrticle number 65.
Velychkovych, A., Petryk, I., & Ropyak, L. (2020). Analytical study of operational properties of a plate shock absorber of a sucker-rod string. Shock and Vibration, 2020, article ID 3292713.
Vytvytskyi, I. I., Seniushkovych, M. V., & Shatskyi, I. P. (2017). Calculation of distance between elastic-rigid centralizers of casing. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 5, 28–35.
Weixing, Sh., Liangkun, W., Zheng, L., & Hongtao, W. (2019). Experimental and numerical study on adaptive-passive variable mass tuned mass damper. Journal of Sound and Vibration, 452, 97–111.
Yuan, X., Tian, T., Ling, H., Qiu, T., & He, H. (2019). A Review on Structural Development of Magnetorheological Fluid Damper. Shock and Vibration, 2019, Article ID 1498962.
Zhanwen, W., Tianming, Z., Zutao, Z., Yanping, Y., & Yujie, L. (2020). A high-efficiency regenerative shock absorber considering twin ball screws transmissions for application in range-extended electric vehicles, Energy and Built Environment, 1(1), 36–49.
Zheng, L., Zixin W., Ying Z., & Xilin, L. (2018). Nonlinear dissipative devices in structural vibration control: A review. Journal of Sound and Vibration, 423, 18–49.