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Vibrations and Stability Analysis of Multiple Rectangular Plates Coupled with Elastic Layers Based on Different Plate Theories by Vladimir Stojanović; Predrag Kozić; Marko Ristić is a Engineering article available to read on EtoBox.

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Analytical solutions of natural frequencies and critical buckling loads for a set of homogenous plates in the complex plate system are determined in this paper. A different layerwise approach is found via interconnecting several plates into one kind of layered block. For this determination, the classical, first order and high order shear deformation theories are used to present rotary inertia and shear effects on systems with different numbers of elastically connected plates. Closed form solutions are determined in the form of explicit expressions of natural frequencies and critical buckling loads. General mode shapes are presented for systems of elastically connected plates. The stability of the complex system is determined and discussed for different stiffnesses of the support, layers and various geometric dimensions. These results are of considerable practical interest and have a wide application in the engineering practice of frameworks. The range of frequencies depending on number of elastically connected plates in the block is discovered.

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Author

Vladimir Stojanović; Predrag Kozić; Marko Ristić

Publisher

Elsevier BV

Published

2015

Language

EN

Field

Engineering (Physical Sciences)