Discrete singularities method in problems of seismic and impulse impacts on reservoirs
Keywords:
резервуары с жидкостью, метод интегральных уравнений, свободные и вынужденные колебания
Abstract
A numerical method to simulate impulse and seismic effects on storages filled with a liquid has been proposed. The liquid is supposed to be ideal, incompressible, and its current is irrotational. The fluid pressure satisfies the Cauchy-Lagrange integral. To determine it, a system of integral equations has been obtained. Its numerical solution is obtained by the boundary element method. The eigenvalues and the forms of liquid vibrations have been obtained. The proposed method has made it possible to estimate the level of the free surface under the action of a suddenly applied force.
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References
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K Degtyarev, P Glushich, V Gnitko, E Strelnikova. Numerical Simulation of Free Liquid-Induced Vibrations in Elastic Shells. International Journal of Morern Physics and Applications 1 (4), 2015, pp. 159-168.
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R.A. Ibrahim. Liquid Sloshing Dynamics. Cambridge University Press, New York, 2005Ventsel E., Naumenko V, Strelnikova E., Yeseleva E. Free vibrations of shells of revolution filled with a fluid. Engineering analysis with boundary elements, 34, pp. 856-862, 2010.
Koh, Hyun Moo, Jae Kwan Kim, and Jang‐Ho Park. Fluid–structure interaction analysis of 3‐D rectangular tanks by a variationally coupled BEM–FEM and comparison with test results. Earthquake engineering & structural dynamics, 27.2 (1998): pp. 109-124
Chen, Y.H., Hwang, W.S. & Ko, C.H., Numerical simulation of the three-dimensional sloshing problem by boundary element method. Journal of the Chinese Institute of Engineers, 23(3), pp. 321-330, 2000.
Malhotra, P. K., New method for seismic isolation of liquid-storage tanks. Journal of Earthquake Engineering and Structural Dynamics, 26(8), pp. 839–847, 1997.
K.G. Degtyarev, V.I. Gnitko, V.V. Naumenko, E.A. Strelnikova. Free vibrations of the liquid in elastic cylindrical shell coupled with liquid sloshing. // Вісник Харківського національного університету ім. В.Н. Каразіна, 2015, №1156, с. 63-75.
Gnitko, V., Naumenko, V., Rozova, L., Strelnikova, E. Multi-domain boundary element method for liquid sloshing analysis of tanks with baffles. Journal of Basic and Applied Research International, 17(1), pp.75-87, 2016.
Gnitko, V., Degtyariov, K., Naumenko, V., Strelnikova, E. BEM and FEM analysis of the fluid-structure Interaction in tanks with baffles. Int. Journal of Computational Methods and Experimental Measurements, 2017, 5(3), pp. 317-328,
K Degtyarev, P Glushich, V Gnitko, E Strelnikova. Numerical Simulation of Free Liquid-Induced Vibrations in Elastic Shells. International Journal of Morern Physics and Applications 1 (4), 2015, pp. 159-168.
К.В. Аврамов, Е.А. Стрельникова // Хаотические колебания пластинок при их двустороннем взаимодействии с потоком движущейся жидкости Прикладная механика. — 2014. — Т. 50, № 3. — С. 86-93.
Published
2017-11-21
How to Cite
Krutchenko, D. V., StrelnikovaЕ. А., & Shuvalova, Y. S. (2017). Discrete singularities method in problems of seismic and impulse impacts on reservoirs. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 35(1), 31-37. Retrieved from https://periodicals.karazin.ua/mia/article/view/9840
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