Keywords : Damping coefficient, natural frequencies, elastic medium, shells, oscillation
Abstract
The vibrations of cylindrical bodies in a deformed medium is discussed. The problem reduces to finding those values of complex Eigen frequencies for which the system of equations of motion and the truncated radiation conditions have a nonzero solution to the cash-box 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.
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