%0 Journal Article
%T Own Vibrations of Bodies Interacting with Unlimited Deformable Environment
%A Ismail Ibrahimovich Safarov
%A Muhsin Khudoyberdiyevich Teshaev
%A Zafar Ixtiyorovich Boltayev
%J Open Access Library Journal
%V 5
%N 3
%P 1-23
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104432
%X
The vibrations of deformed bodies interacting with
an elastic medium are considered. The
problem reduces to finding those values of complex Eigen frequencies for which
the system of equations of motion and the radiation conditions have a nonzero
solution to the class of infinitely differentiable functions. It is shown that
the problem has a discrete spectrum located on the lower complex plane and the
symmetric spectrum is an imaginary axis.
%K Damping Coefficient
%K Natural Frequencies
%K Elastic Medium
%K Shells
%K Oscillations
%U http://www.oalib.com/paper/5293219