Study of Liquid Cargo Influence on Frequency Characteristics of Tank Wagon Boiler Shell

The article is devoted to the study of the effect of the fill level of liquid cargo on frequency characteristics of the shell of a tank wagon boiler.

The study has applied within its framework an approach used to estimate the frequencies and modes of natural oscillations of steel tanks under the influence of seismic loads. This approach assumes considering two components of natural frequencies: pulse and convective ones. To determine the listed frequencies and modes of natural oscillations, the finite element method using FLUID221 acoustic elements was selected. The choice of the method is justified in the previous studies of the authors.

Using the selected method, convective natural frequencies of oscillations of the free surface of the liquid and pulsed frequencies of natural oscillations with different fill levels of the tank wagon boiler with liquid cargo were studied. Confirmation of reliability of the results for pulse frequencies of the shell containing the liquid is ensured by consistency with the data obtained by the authors in previous works using the semi-momentless theory of shells.

1. Housner, G. W. Earthquake Pressures on Fluid Containers. Pasadena, California: California Institute of Technology, 1954, 42 p.

2. Haroun, M. A., Housner, G. W. Seismic design of liquid storage tanks. Journal of the Technical Councils of ASCE, 1981, Vol. 107, Iss. 1, pp. 191–207. DOI: https://doi.org/10.1061/JTCAD9.0000080.

3. Veletsos, A. S., Yang, J. Y. Earthquake response of liquid storage tanks. In: Advances in Civil Engineering through Engineering Mechanics, Second Annual Engineering Mechanics Division Specialty Conference, Raleigh, North Carolina, United States, May 23–25, 1977, 616 p., pp. 1–24.

4. Goldenblat, I. I., Nikolaenko, N. A., Shtol, A. T., Tumasov, V. R. Recommendations for the calculation of reservoirs and gas holders regarding seismic impacts [Rekomendatsii po raschetu rezervuarov i gazgolderov na seismicheskie vozdeistviya]. Central Scientific Research Institute of Building Structures named after V.A. Kucherenko of the USSR State Construction Committee. Moscow, Stroyizdat publ., 1969, 47 p.

5. Grygoriyev, P. S., Suvorova, K. E.The assessment of free frequency and dynamic stress encased in a tank shell [Otsenka chastot sobstvennykh kolebanii i dinamicheskikh napryazhenii v obolochke kotla tsisterny]. Proceedings of Petersburg Transport University, 2017, Iss. 4, pp. 637–643. EDN: YMOZLU.

6. Tran Phu Thuan, Grigoriev, P. S., Suvorova, K. E. Calculated Dependencies and Estimates of Frequencies and Vibration Modes of Shells of Rail Tank Wagons. World of Transport and Transportation, 2018, Iss. 5 (78), pp. 84–90. https://doi.org/10.30932/1992–3252–2018–16–5–7.

7. Morzinova, T. G. Oscillations of boiler shells of tanks considering their design features. Ph.D. (Eng) thesiss [Kolebaniya obolochek kotlov tsistern s uchetom ikh konstruktivnykh osobennostei. Dis…kand.tekh.nauk]. Moscow, MIIT publ., 1983, 118 p.

8. Bespalko, S. V. Development and analysis of models of damaging effects on tank boilers for transportation of cryogenic products. D.Sc. (Eng) thesis [Razrabotka i analiz modelei povrezhdayushchikh vozdeistvii na kotly tsistern dlya perevozki kriogennykh produktov. Dis..dokt.tekh.nauk]. Moscow, MIIT publ., 2000, 427 p.

9. Grigorev, P. S., Tran Phu Thuan, Ibodulloev, Sh. R. Approaches to assessing the natural frequencies of tank wagon boilers considering the influence of liquid. Rakhmatullin readings: Abstract of the report of the international scientific and practical conference / compiled by A. Kh. Zakirov, Sh. R. Ibodulloev. Tashkent, National University of Uzbekistan, 2023, pp. 51–52.

10. Anagha, B. V., Nimisha, P., Jayalekshmi, B. R. A study on effect of fluid on the modal characteristics of ground supported water tanks. IOP Conference Series: Materials Science and Engineering, 2020, Vol. 936, Iss. 1, 012027. DOI: https://doi.org/10.1088/1757-899X/936/1/012027.

11. Rafatpanah, R. M., Yang, Jianfeng. Simulating fluidstructure interaction utilizing three-dimensional acoustic fluid elements for reactor equipment system model. Proceedings of the 23rd international conference on nuclear engineering, 2015, ICONE23–1732, pp. 1–7. DOI: https://doi.org/10.1299/jsmeicone.2015.23._ICONE23-1_362.

12. Chiu, J., Brown, A. M.Characterization of the modal characteristics of structures operating in dense liquid turbopumps. In: ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, June 26–30, 2017, Charlotte, North Carolina, USA. Vol. 7B: Structures and Dynamics, ISBN: 978–0–7918–5093–0, paper No. GT2017– 63633, V07BT36A008. DOI: https://doi.org/10.1115/GT2017–63633 [Limited access to subscribers].

13. Kangda, M. Z. An approach to finite element modeling of liquid storage tanks in ANSYS: A review. Innovative Infrastructure Solutions, 2021, Vol. 6, Iss. 4, 226. DOI: https://doi.org/10.1007/s41062-021-00589-8.

14. Jhung, Myung Jo; Yu, Seon-Oh; Lim, Yeong-Taek. Dynamic characteristics of a partially fluid filled cylindrical shell. Nuclear Engineering and Technology, 2011, Vol. 43, Iss. 2, pp. 167–174. DOI: https://doi.org/10.5516/NET.2011.43.2.167.

15. Vakhidov, U. Sh., Sogin, A. V., Shapkin, V. A., Shapkina, Yu. V. Numerical studies of vibrations of vehicle units [Chislennie issledovaniya kolebanii uzlov avtomobilei]. Proceedings of R. E. Alekseev NSTU, 2014, Iss. 3 (105), pp. 145–153. [Electronic resource]: https://www.nntu.ru/frontend/web/ngtu/files/nauka/izdaniya/trudy/2014/03/145-153.pdf. Last accessed 19.02.2024.

16. Zhang, X., Zhao, Y., Li, Sh. FEM modal analysis of vehicle frame based on ANSYS. International Conference on Consumer Electronics, Communications and Networks (CECNet). IEEE, Xianning, China, 2011, pp. 2237–2240. DOI: https://doi.org/10.1109/CECNET.2011.5768490 [limited access for subscribers].