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Forced vibrations of a viscoelastic three-layer plate

Narkuzi MirzakabilovJizzakh Polytechnic institute, Jizzakh, UzbekistanB. N. MirzakabilovInstitute of Mechanics and Seismic Stability of Structures named after M.T. Urazbaev, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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Аннотация

In this article, forced vibrations of a viscoelastic three-layer plate of a particular type are considered and some solution of numerical computation by Maple is given. Fundamental frequency of a viscoelastic three-layer plate is very useful for weight efficiency assessment of construction that is significant in engineering calculations.The article deals with the problem of fundamental frequency calculation for rectangular of a viscoelastic three-layer plate with free edges and all corners simply-supported. In this formulation the problem has no analytical solution yet. This is due to the necessity of exact satisfaction of static boundary conditions on free edges of the plate; which is very hard to do.Fundamental frequencies are calculated using this analytical formula for several variants of plates with different combinations of plate dimensions.

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