MATHEMATICAL MODEL OF DAMPING OF VIBRATIONS OF A LIQUID IN A TANK WITH N ELASTIC RIBS

Yu. M. Kemenyash, А. N. Kushnir

Abstract


The problem of joint oscillations of a liquid and rigid elastically suspended damping ribs in a tank having the form of a rectangular parallelepiped is considered. A system of equations is drawn from which it can be seen that for a certain choice of parameters one can obtain a significant gain in damping. The Simulink model is constructed, which allows obtaining characteristics about the processes occurring in the tank. The aim of the paper is to describe such a mathematical model of damping of fluid vibrations with n elastic ribs in tanks, which has sufficient reliability, accuracy, simplicity and efficiency.

Keywords


Damping; ribs; oscillation of liquid; tank

References


G. Mikishev and B. Rabinovich, The dynamics of thin-walled structures with compartments containing liquid. Moscow: Engineering, 1971, 532 p. (in Russian).

J. W. Miles, “Ring damping of free surfaces Oscillations in a circular tank,” J. Appl. Mech., vol. 25, no. 6, 1958.

K. Kh. Zelensky, V. N. Ignatenko, and A. P. Kots, Computer methods of applied mathematics. Kyiv: Design-In, 1999, 352 p.

V. Yatskivskiy and Yu. Kemenyash. “Damping of liquid oscillations in a right circular cylinder with radial ribs,” Electronics and Control Systems, no. 1(35), pp. 142–145, 2013.


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