Own Vibrations of Bodies Interacting with Unlimited Deformable Environment
Ismoil SafarovTashkent Chemistry, Technological Institute, Tashkent, Republic of UzbekistanMuhsin Khudoyberdiyevich TeshaevBukhara Technological, Institute of Engineering, Bukhara, Republic of UzbekistanZ I BoltayevBukhara Technological, Institute of Engineering, Bukhara, Republic of Uzbekistan
ABI
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.
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