Moscow, Moscow, Russian Federation
Moscow, Moscow, Russian Federation
Tashkent, Uzbekistan
BBK 392 Железнодорожный транспорт
The paper studies the influence of external and internal overpressure on the stiffness characteristics of boiler shells of tank cars, which play a key role in the car design, ensuring the safety of freights such as oil, oil products, bulk cargoes, gas and chemicals. The research is aimed at developing a scientific approach to assess the effect of various pressures on the frequency characteristics of shells and their stability, which is critically important to ensure their reliability and safety. Mathematical expressions are developed to determine the frequency of natural oscillations and the critical pressure at which the stability of the boiler shell is lost. The numerical analysis performed using the finite element method confirms the adequacy and accuracy of the proposed models. The results of the study show that a decrease in internal pressure leads to a decrease in the stiffness of the shell and, accordingly, the frequencies of natural oscillations, which can cause a transition to an unstable state. At the same time, an increase in internal pressure contributes to an increase in stiffness and oscillation frequencies. These conclusions are of great importance for the design and operation of tank cars, as they allow to take into account potential risks and develop safer and more effective design solutions. The data obtained can contribute to improving the safety of cargo transportation, including dangerous freights.
tank car, oscillations, pressure, stability, finite element method, characteristics
1. Moikin DA. Determination of defective characteristics and the effect of damage on the performance of tank cars. Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport. 2005;8:147-150.
2. Grigoriev PS. On the connection of free frequencies and critical loads when evaluating the stiffness of load-bearing elements of car structures. Vestnik of Ural State University of Railway Transport. 2022;1(53):17-23. DOI:https://doi.org/10.20291/2079-0392-2022-1-17-23
3. Grygoriyev PS, Suvorova KE. The assessment of free frequencies and dynamic stress incased in a tank shell. Proceedings of Petersburg Transport University. 2017;14(4):637-643.
4. Bogachev VI. Evaluation of fluctuations of liquid cargo in a tank boiler. World of Transport and Transportation Journal. 2012;1:32-37.
5. Grigoriev PS, Chan Fut, Ibodulloev ShR, Nuraliev AN. Approaches to evaluate free frequencies of tank boilers taking into account the influence of liquid International Scientific and Practical Conference, May 26-27, 2023: Rakhmatulin Readings; National University of Uzbekistan. 2023.
6. Chan FuT, Grygoriyev PS, Suvorova KE. Calculated dependences and estimates of frequencies and forms of vibrations of the tank boiler shell. World of Transport and Transportation Journal. 2018;5(78):84-90.
7. Bespalko SV. Development and analysis of models of damaging effects on tank boilers for transportation of cryogenic products [dissertation]. [Moscow (RF)]: Russian University of Transport; 2000.
8. Morzinova TG. Vibrations of tank boiler shells taking into account their design features [dissertation]. [Moscow (RF)]: Russian University of Transport; 1983.
9. Weingarten VI. The effect of internal or external pressure on the free vibrations of conical shells. Int J Mech Sci. 1966;8(2):115-24. DOI:https://doi.org/10.1016/0020-7403(66)90070-1
10. Sofiyev AH, Karaca Z. The vibration and buckling of laminated non-homogeneous orthotropic conical shells subjected to external pressure. Eur J Mech A Solids. 2009;28(2):317-28.
11. Zhang YL, Gorman DG, Reese JM. Vibration of prestressed thin cylindrical shells conveying fluid. Thin-Walled Struct. 2003;41(12):1103-27. DOI:https://doi.org/10.1016/j.euromechsol.2008.06.002
12. Piacsek AA, Abdul-Wahid S, Taylor R. Resonance frequencies of a spherical aluminum shell subject to static internal pressure. J Acoust Soc Am. 2012;131(6). DOI:https://doi.org/10.1121/1.4721647
13. Donnell LG. Beams, plates and shells. Moscow: Nauka; 1982.
14. Grigoriev PS, Bespalko SV, Kodirov NS. A way to represent the resolving equation of the semi-instantaneous theory of circular cylindrical shells in Donnell form to calculate the stress state and stability of tank car boilers. Proceedings of the Second International Scientific and Technical Conference, April 19-22, 2023: Railway Rolling Stock: Problems, Solutions, Prospects; Tashkent State Transport University. Tashkent; 2023.
15. Grigoriev PS, Korzhin SN, Ibodulloev SR, Goncharov VV. Evaluation of vibration effects of bulky elements on the cylindrical part of tank car boilers based on shell theory. Transport Engineering. 2023;5:69-78. DOI:https://doi.org/10.30987/2782-5957-2023-5-69-78
16. Lukin VV, Shadur LA, Koturanov VN. Design and calculation of cars: textbook. Moscow; 2000.
17. Shadur LA, Evstafyev BS, Lukin VV. Heavy-duty eight-axle cars: textbook. Moscow: Transport; 1968.
