Abstract
On the basis of relations of a version of the refined theory of dynamic deformation of composite plates, we propose a mathematical model of the process of free vibration of layered plates-strips with components compliant to transverse shear and compression. A characteristic equation is deduced for the case of hinging of elongated edges of the lower component. An analytic expression is obtained for the spectrum of natural frequencies of a two-layer plate-strip. We also analyze the influence of discreteness of the investigated structure in thickness and the compliance of plates to transverse compression on these frequencies.
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