Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

COMPLEX STRESS-STRAIN BEHAVIOUR OF A CYLINDRICAL SHELL WITH A DYNAMICALLY BREAKing INTERNAL ELASTIC BASE


DOI: 10.5937/jaes0-28208 
This is an open access article distributed under the CC BY 4.0
Creative Commons License

Volume 18 article 755 pages: 745 - 749

Boris A. Antufiev*
Department of Resistance of Materials Dynamics and Strength of Machines, Moscow Aviation Institute (National Research University), Moscow, Russian Federation

Aung Thu Kyaw
Marine Electrical System and Electronics – Myannar Navy, Defence Services Technological Academy (DSTA), Myanmar Maritime University, Pyin Oo Lwin, Myanmar

Pavel O. Polyakov
Institute of General Engineering Education, Moscow Aviation Institute (National Research University), Moscow, Russian Federation

Elena L. Kuznetsova
Department of Resistance of Materials Dynamics and Strength of Machines, Moscow Aviation Institute (National Research University), Moscow, Russian Federation

During the operation of a solid-propellant rocket engine, the combustion products of a powder charge create increased pressure in the combustion chamber. Besides, the combustion of gunpowder is accompanied by a large release of heat, which, despite the thermal insulation, causes the appearance of deformations in the engine cowling. This leads to the need to investigate the durability of the shell under the influence of internal pressure and temperature fields. The aim of the paper is to determine the complex dynamic deformed state and vibrations of the engine cowling under the action of force and temperature loads. The problem of a complex axisymmetric stress-strain state and vibrations of a thin cylindrical shell with a dynamically breaking internal elastic foundation, obeying Winkler’s hypothesis, is approximately solved. The shell is under the action of internal pressure and temperature fields on a part of its length free from an elastic base. The resolving equation of the problem of the shell deflection is solved by the Bubnov-Galerkin method, reducing the problem to a system of linear algebraic equations. The examples are considered, in which the basic frequencies of natural vibrations of the structure are determined depending on the conditions of shell fastening. Parametric studies are carried out.

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The work was carried out with the financial support of the state project of the Ministry of Education and Science project code FSFF-2020-0017.

1. Starovoitov, E.I., Leonenko, D.V., Yarovaya, A.V. (2005). Vibrations of a sandwich rod under local and impulsive forces. International Applied Mechanics, vol. 41, no. 7, 809-816.

2. Starovoitov, E.I., Nagiyev, F.B. (2012). Foundations of the theory of elasticity, plasticity, and viscoelasticity. Apple Academic Press, Toronto.

3. Starovoitov, E.I., Leonenko, D.V., Yarovaya, A.V. (2002). Vibrations of round three-layer plates under the action of distributed types local loads. Strength of Materials, vol. 34, no. 5, 474-481.

4. Nerubailo, B.V. (1983). Local problems of the strength of cylindrical shells. Mashinostroyeniye, Moscow.

5. Timoshenko, S.P. (1948). Plates and shells. GITTL, Moscow.

6. Rabinskiy, L.N. (2019). Non-stationary problem of the plane oblique pressure wave diffraction on thin shell in the shape of parabolic cylinder. Periodico Tche Quimica, vol. 16, no. 32, 328-337.

7. Rabinskiy, L.N., Tushavina, O.V. (2019). Investigation of an elastic curvilinear cylindrical shell in the shape of a parabolic cylinder, taking into account thermal effects during laser sintering. Asia Life Sciences, vol. 2, 977-991.

8. Formalev, V.F., Kolesnik, S.A., Kuznetsova, E.L. (2009). The effect of longitudinal nonisothermality on conjugate heat transfer between wall gasdynamic flows and blunt anisotropic bodies. High Temperature, vol. 47, no. 2, 228-234.

9. Kozorez, D.A., Kruzhkov, D.M. (2019). Autonomous navigation of the space debris collector. INCAS Bulletin, vol. 11, 89-104.

10. Kuznetsova, E.L., Rabinskiy, L.N. (2019). Linearization of radiant heat fluxes in the mathematical modeling of growing bodies by the action of high temperatures in additive manufacturing. Asia Life Sciences, no. 2, 943-954.

11. Rabinskiy, L.N., Tushavina, O.V., Formalev, V.F. (2019). Mathematical modelling of heat and mass transfer in shock layer on dimmed bodies at aerodynamic heating of aircraft. Asia Life Sciences, no. 2, 897-911.

12. Rabinskii, L.N., Tushavina, O.V. (2019). Composite heat shields in intense energy fluxes with diffusion. Russian Engineering Research, vol. 39, no. 9, 800- 803.

13. Bulychev, N.A., Rabinskiy, L.N., Tushavina, O.V. (2020). Effect of intense mechanical vibration of ultrasonic frequency on thermal unstable low-temperature plasma. Nanoscience and Technology, vol. 11, no. 1, 15-21.

14. Babaytsev, A.V., Kuznetsova, E.L., Rabinskiy, L.N., Tushavina, O.V. (2020). Investigation of permanent strains in nanomodified composites after moulding at elevated temperatures. Periodico Tche Quimica, vol. 17, no. 34, 1055-1067.

15. Bulychev, N.A., Kuznetsova, E.L., Rabinskiy, L.N., Tushavina, O.V. (2019). Theoretical investigation of temperature-gradient induced glass cutting. Nanoscience and Technology, vol. 10, no. 2, 123-131.

16. Toporovskiy, V., Kudryashov, A., Samarkin, V., Sheldakova, J., Rukosuev, A., Skvortsov, A., Pshonkin, D. (2019). Bimorph deformable mirror with a high density of electrodes to correct for atmospheric distortions. Applied Optics, vol. 58, no. 22, 6019-6026.

17. Skvortsov, A.A., Karizin, A.V. (2017). Electromagnetoelasticity effect in silicon. Solid State Phenomena, vol. 269, 78-90.

18. Blinov, D.G., Prokopov, V.G., Sherenkovskii, Yu.V., Fialko, N.M., Yurchuk, V.L. (2002). Simulation of natural convection problems based on low-dimensional model. International Communications in Heat and Mass Transfer, vol. 29, no. 6, 741-747.

19. Bulychev, N.A., Rabinskiy, L.N., Tushavina, O.V. (2020). Effect of intense mechanical vibration of ultrasonic frequency on thermal unstable low-temperature plasma. Nanoscience and Technology, vol. 11, no. 1, 15-21.

20. Kurbatov, A.S., Orekhov, A.A., Rabinskiy, L.N., Tushavina, O.V., Kuznetsova, E.L. (2020). Research of the problem of loss of stability of cylindrical thinwalled structures under intense local temperature exposure. Periodico Tche Quimica, vol. 17, no. 34, 884-891.

21. Antufev, B.A., Kuznetsova, E.L., Rabinskiy, L.N., Tushavina, O.V. (2019). Complex stressed deformed state of a cylindrical shell with a dynamically destructive internal elastic base under the action of temperature fields of various physical nature. Asia Life Sciences, no. 2, 775-782.

22. Antufev, B.A., Kuznetsova, E.L., Rabinskiy, L.N., Tushavina, O.V. (2019). Investigation of a complex stress-strain state of a cylindrical shell with a dynamically collapsing internal elastic base under the influence of temperature fields of various physical nature. Asia Life Sciences, no. 2, 689-696.

23. Rabinskiy, L.N., Tushavina, O.V. (2019). Problems of land reclamation and heat protection of biological objects against contamination by the aviation and rocket launch site. Journal of Environmental Management and Tourism, vol. 10, no. 5, 967-973