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.
Cite this paper
Safarov, I. I. , Teshaev, M. K. and Boltayev, Z. I. (2018). Own Vibrations of Bodies Interacting with Unlimited Deformable Environment. Open Access Library Journal, 5, e4432. doi: http://dx.doi.org/10.4236/oalib.1104432.
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Safarov, I.I., Teshayev, M.K., Boltayev, Z.I. and Akhmedov, M.Sh. (2017) Damping Properties of Vibrations of Three-Layer VIscoelastic Plate. International Journal of Theoretical and Applied Mathematics, 3,191-198. http://www.sciencepublishinggroup.com
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Safarov, I.I., Kuldashev, N.U. and Ochilov, Sh.B. (2017) Numerical Solution of the Problem of the Impact a Plane Stationary Elastic Waves by a Cylindrical Body. Case Studies Journal, 6, 192-213. http://www.сasestudisjournal.com
