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Двумерная модель жидкости для расчета собственных частот колебаний…
Инженерный журнал: наука и инновации
# 3·2017 19
Two-dimensional fluid model for calculating the natural
vibration frequencies of axially symmetric
hydro-shell systems
© V.A. Gribkov, R.A. Adamenko
Bauman Moscow State Technical University, Moscow, 105005, Russia
The article offers a two-dimensional fluid model to describe the vibrational motion of flu-
id in an elastic thin-walled axially symmetric shell structure. Two-dimensional fluid
model is the basis of the approximate analytical method for calculating the natural fre-
quencies of axisymmetric vibrations of hydro-shell systems. The method algorithm con-
sists of a few simple computational operations based on elemental formula conversion of
natural frequencies, the transition from the natural frequencies of the shell without liquid
to the natural frequencies of a shell filled with liquid. The natural frequencies are deter-
mined quickly without any computing facilities. The calculation results obtained in this
study by using the proposed two-dimensional fluid model are compared with the exact
analytical solutions for the cylindrical shell filled with three-dimensional fluid, with the
results for a composite shell structure, obtained by using two finite element complexes
(SolidWorks Simulation, Pro/ENGINEER Mechanica), as well as with the results of phys-
ical testing frequency (experimental) model — a composite shell of two elements.
Keywords:
tank design, hydroelastic vibrations, fluid model, dynamic characteristics,
frequency test
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