TITLE:
Own Vibrations of Bodies Interacting with Unlimited Deformable Environment
AUTHORS:
Ismail Ibrahimovich Safarov, Muhsin Khudoyberdiyevich Teshaev, Zafar Ixtiyorovich Boltayev
KEYWORDS:
Damping Coefficient, Natural Frequencies, Elastic Medium, Shells, Oscillations
JOURNAL NAME:
Open Access Library Journal,
Vol.5 No.3,
March
29,
2018
ABSTRACT: 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.