Abstract
In this study of the free vibration of multilayer thick cylinders, the medium is modeled by laminated linear viscoelastic cylinders of an infinite extent. The analytical modeling is based on three-dimensional wave propagation utilizing constant complex elastic moduli. The solution is achieved by determining the displacements and stresses for each interface and by complying with requirements at the interfaces. A propagator matrix relating the boundary displacements to boundary stresses is developed. Dimensionless natural frequencies and modal loss factors for different circumferential and axial wave numbers are determined. The validity of the proposed method is verified by comparing the results for one-, two-, and three-layer elastic cylinders with properties similar to those reported for an equivalent single layer.
Highlights
Most studies of the vibrations of sandwich cylinders are based on the assumptions of thin shell theory for a significant number of thick cylindrical structures
The assumptions used in shell theory for cylindrical structures may not always be valid
In spite of this situation, few studies have been addressed to the analysis of the free vibrations of thick cylindrical structures
Summary
Most studies of the vibrations of sandwich cylinders are based on the assumptions of thin shell theory for a significant number of thick cylindrical structures. Armenakas et al (1969) analyzed free vibration of thick elastic cylinders and presented tables of dimensionless natural frequencies for a wide range of geometrical possibilities. They provided dimensionless natural frequencies of a two-layer cylinder for a circumferential wave number and a range of axial wave numbers.
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