LIQUID VIBRATION ANALYSIS IN RIGID TANKS WITH FUZZY DIFFERENTIAL EQUATIONS

13TH INTERNATIONAL CONFERENCE ON CULTURE, CIVILIZATION AND SOCIAL SCIENCES

PROCEEDINGS BOOK

CAIRO, EGYPT

JANUARY 26-27, 2023

Edited by

Assist. Prof. Dr. Abdussalam Ali Ahmed

ISBN 978-625-6404-57-1

13th INTERNATIONAL CONFERENCE ON CULTURE, CIVILIZATION AND SOCIAL SCIENCES

Cairo, Egypt January 26-27, 2023

PROCEEDINGS BOOK

Edited by

Assist. Prof. Dr. Abdussalam Ali Ahmed

All rights of this book belong to IKSAD GLOBAL.

Without permission can’t be duplicate or copied. Authors of chapters are responsible both ethically and juridically.

IKSAD Publications – 2023 © Issued: 15.02.2023 ISBN: 978-625-6404-57-1

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Ecem TURGUT & Okyay UÇAN

THE ROLE OF REGIONAL DEVELOPMENT AGENCIES AND

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RELIGIOUS EFFECTS OF COVID-19: RELIGION-SCIENCE CONFLICT

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PLATELET FUNCTIONS IN YAROSLAV CALVES IN THE MIDDLE OF

EARLY ONTOGENESIS

Svetlana Yurievna Zavalishina

FUNCTIONAL PROPERTIES OF PLATELETS IN VEGETABLE CALVES

Bhola Khan

OIL PRICE VOLATILITY AND ITS IMPACT ON EXCHANGE RATE IN

NIGERIA

Lijarani Biswal & Lopamudra Acharya & Bhagyashree Priyadarshini Mishra & Sarmistha Das & Gayatri Swain & Kulamani Parida

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Britto Chacko & Shivam Chari & Richa Prabhu Kholkar & Yash Badgujar

& Cynara Silveira

STOCK MARKET PREDICTION USING MACHINE LEARNING

Elena Sierikova & Elena Strelnikova & Korneichuk Nikita & Kononenko Yehor

LIQUID VIBRATION ANALYSIS IN RIGID TANKS WITH FUZZY

DIFFERENTIAL EQUATIONS

Elena Sierikova & Elena Strelnikova & Ivan Vierushkin

STUDY OF TANK FREQUENCY DEPENDENCE FOR DIFFERENT

SHELL THICKNESS UNDER SEISMIC LOADS

Elena Sierikova & Elena Strelnikova & Ivan Vierushkin

DETERMINATION OF EIGENFORMS OF LIQUID OSCILLATIONS IN

TANKS WITH THE WINKLER ELASTIC BASE

Naseem Akhter

THE IMPORTANCE OF PEACE IN THE DEVELOPMENT OF SOCIETY

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Khan Amadur Rahman & Khan Roohul Abad

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A NEW PARADIGM OF THE REAL-TIME ACCOUNTING

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THE MAGNITUDE OF PREMENSTRUAL SYNDROME AND OTHER

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LOCAL GOVERNANCE AND CLIMATE CHANGE MITIGATION IN

YEWA SOUTH LOCAL GOVERNMENT AREA, OGUN STATE, NIGERIA Pawan Singh Dhapola & Pramod K. Singh

A BRIEF SUMMARY OF INDIA FROM ANCIENT TO MODERN HISTORY

Babagana M. & Shuaeeb, A. I. & Yahaya, F. & Ndatsu, A.

PERCEPTION OF LECTURERS TOWARDS INFORMATION AND

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Sajad Hussain Dar & Tahmeed Ahmad Badam

BIJBEHARA THE HISTORIC TOWN IN SOUTH OF KASHMIR: A

NEGLECTED LEGACY IN TOURISM PROFILE

LIQUID VIBRATION ANALYSIS IN RIGID TANKS WITH FUZZY DIFFERENTIAL EQUATIONS

Elena Sierikova, PhD

National University of Civil Defence of Ukraine, Kharkiv, Ukraine ORCID: 0000-0003-0354-9720

Elena Strelnikova, Doctor of Technical Sciences

A.M. Podgorny Institute for Mechanical Engineering Problems NAS of Ukraine, Kharkiv, Ukraine ORCID: 0000-0003-0707-7214

Korneichuk Nikita, PhD student

V.N. Karazin Kharkiv National University, Kharkiv, Ukraine ORCID: 0000-0003-0189-6155

Kononenko Yehor. PhD student

A.M. Podgorny Institute for Mechanical Engineering Problems NAS of Ukraine, Kharkiv, Ukraine ORCID: 0000-0001-6221-3608

Keywords: liquid sloshing, rigid reservoirs, forced vibrations, fuzzy differential equations.

Liquid sloshing is an important phenomenon arisen in a lot of engineering applications. When tanks and reservoirs are partially filled with liquids and subjected to essential external loads, the liquid begins its intensive movement. This motion can lead to very dangerous consequences. It is especially hazardous when the liquid is inflammable and toxic. So considerable amount of research is devoted to studying the dynamical process in fluid-filled tanks and reservoirs [1-3]. A lot of devices were proposed to damp sloshing [1,3] as well as new materials for tank’ structures [5]. Last years the concepts of estimating uncertainties became dominant in scientific research [6]. These uncertainties may be observed in sizes of reservoirs, their mechanical characteristics, frequencies and amplitudes of forced loads,

In this paper the approach is considered to simulation of liquid vibrations in rigid tanks under harmonical external excitations. It is supposed that the load amplitude is characterized by a fuzzed triangular number [6,7].

The crisp boundary value problem was solved first as in [2,3]. A cylindrical rigid shell is proposed as the tank model, The liquid inside the tank is supposed to be incompressible and ideal one, and its flow induced by the forced harmonical excitation is potential, in these suppositions there exist a potential Ф that satisfies the Laplace equation. As boundary conditions on she shell wetted surfaces, the no-penetrating stipulation is in use, Dynamic and kinematic boundary conditions are prescribed at the liquid free surface. The boundary integral equation is received for the velocity potential Ф as in [3]. Using kinematic and dynamic boundary conditions, the changing kevel of liquid elevation is estimated. For numerical simulation of the singular boundary equations, we use modified boundary elements methods based on axially-symmetric one-dimensional singular integral evaluations [8,9].

Crisp boundary value problem is reduced to solution of a second order system of differential equations. Here the initial data (free surface location, its velocity, and amplitude of the forced excitation) are given crisp numbers. After receiving the crisp solution of the system of differential equations the initial data are fuzzified [7]. The triangular fuzzy number are in use, so the fuzzy initial value problem is formulated. The numerical solution of this problem is received and analyzed.

References

1. Q. Zang, J. Liu, L. Lu, G. A Lin, NURBS-based isogeometric boundary element method for analysis of liquid sloshing in axisymmetric tanks with various porous baffles, European Journal of Mechanics-B/Fluids, vol. 81, 2020, pp. 129-150.

2. V.I. Gnitko, K.G. Degtyariov, A.O. Karaiev, E.A. Strelnikova. Singular boundary method in a free vibration analysis of compound liquid-filled shells. WIT Transactions on Engineering Sciences 126, 2019, pp. 189-200 DOI: 10.2495/BE420171

3. E. Strelnikova, D. Kriutchenko, V. Gnitko. Liquid Vibrations in Cylindrical Quarter Tank Subjected to Harmonic, Impulse and Seismic Lateral Excitations. Journal of Mathematics and Statistical Science, (ISSN 2411-2518), 2019, Vol. 5, pp. 31-41

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4. Choudhary, N., Kumar, N., Strelnikova, E., Gnitko, V., Kriutchenko, D., Degtyariov, K. Liquid vibrations in cylindrical tanks with flexible membranes. Journal of King Saud University – Science, 2021, 33(8), 101589, doi.org/10.1016/j.jksus.2021.101589

5. O. Sierikova, V. Koloskov, K. Degtyarev, O. Strelnikova. The deformable and strength characteristics of nanocomposites improving. Materials Science Forum 1038, pp. 144-153, DOI: 10.4028/www.scientific.net/MSF.1038.144

6. K. Degtyariov, V. Gnitko, Y. Kononenko, D. Kriutchenko, O. Sierikova and E. Strelnikova, Fuzzy Methods for Modelling Earthquake Induced Sloshing in Rigid Reservoirs, 2022 IEEE 3rd KhPI Week on Advanced Technology (KhPIWeek), Kharkiv, Ukraine, 2022, pp. 1-6, doi:

10.1109/KhPIWeek57572.2022.9916466

7. Ömer Akın, Tahir Khaniyev, Selami Bayeğ, Burhan Türkşen. Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function, Turkish Journal of Mathematics and Computer Science 2016, Volume 4, pp. 16 - 25.

8. Naumenko V., Strelnikova H. Singular integrals accuracy of calculations in two-dimensional problems using boundary element methods, Engineering Analysis with Boundary Elements, vol. 26(1), 2002, pp. 95-98, DOI: 10.1016/S0955-7997(01)00041-8

9. Karaiev A., Strelnikova E. Singular integrals in axisymmetric problems of elastostatics International Journal of Modeling, Simulation, and Scientific Computing, vol. 11(01), 2020, 2050003, DOI: 10.1142/S1793962320500038

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