Calculation of axisymmetric vibrations of shells of revolution with liquid by finite element method

Аuthors

Shklyarchuk F. N.^1*, Rei J. ^2**

1. Institute of Applied Mechanics of Russian Academy of Science, IAM RAS, 32a, Leninskii av., Moscow, В-334, GSP-1, 119991, Russia
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: shklyarchuk@list.ru
**e-mail: joyfulife@hanmail.net

Abstract

New variant of the finite element method is developed for calculation of axisymmetric vibrations of elastic orthotropic shells of revolution partially filled with liquid taking into account ring ribs and the preliminary stress-strain condition. The compatible finite elements are narrow ring strips of the shell with the internal liquid lays. The axial displacement of liquid in the cross section is represented as a sum of plane displacement and distortion in shape of parabola.

Keywords:

shell of revolution, shell with liquid, hydro-elastic vibrations, axisymmetric vibrations, finite element method