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Safarov, I.I., Teshaev, M.Kh., Boltaev, Z.I. and Nuriddinov, B.Z. (2017) Of Own and Forced Vibrations of Dissipative Inhomogeneous Mechanical Systems. Applied Mathematics, 8, 1001-1015.
http://www.scirp.org/journal/am
https://doi.org/10.4236/am.2017.87078

has been cited by the following article:

• 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.