FREE VIBRATIONS OF THE SPHERICAL SHELL CONTAINING AN ELASTIC FILLER

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Abstract


We study the free vibrations of a spherical shell filled with an elastic medium. The equa- tions of motion of a thin elastic spherical shell of exposure to internal pressure are given. Me- dium, filling the shell with a significantly has the lower modulus of elasticity. Solution for the free vibration of the system shell filler is presented. We construct an ana- lytical solution of the problem, dependence of the oscillation frequency of the shell without the filler as a function of the frequency of the shell - filler. A plot of the frequency spectra for the two branches is given

A I SEYFULLAYEV

National Academy of Sciences of Azerbaijan, Institute of Mathematics and Mechanics,

Email: a.seyfullayev@yahoo.com

H C AQALAROV

National Academy of Sciences of Azerbaijan, Institute of Mathematics and Mechanics, Azerbaijan, Baku, AZ 1143

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