Abstract
Vibrations of a cylindrical shell composed of three layers of different materials resting on elastic foundations are studied out. This configuration is formed by three layers of material in thickness direction where the inner and outer layers are of isotropic materials and the middle is of functionally graded material. Love shell dynamical equations are considered to describe the vibration problem. The expressions for moduli of the Winkler and Pasternak foundations are combined with the shell dynamical equations. The wave propagation approach is used to solve the present shell problem. A number of comparisons of numerical results are performed to check the validity and accuracy of the present approach.
Highlights
The circular cylindrical shells have been found in various engineering applications ranging from large civil and mechanical structures to small electrical components for many years
Loy et al [6] investigated the vibrations of functionally graded material cylindrical shells, made up of FG material composed of stainless steel and nickel
Pardhan et al [7] studied the vibrations of functionally graded material (FGM) cylindrical shell structured from stainless steel and zirconia
Summary
The circular cylindrical shells have been found in various engineering applications ranging from large civil and mechanical structures to small electrical components for many years. Zhang et al [8] studied the vibration frequencies of cylindrical shells with fluid-filled They used wave propagation approach and they compared the uncoupled frequencies with available results in the literature. Love’s thin shell theory was used for strain-displacement and curvaturedisplacement relation They studied the natural frequency for supported boundary conditions and compared the results with those mentioned in the literature to check the validity of the approach. Iqbal et al [11] applied wave propagation approach to analyze vibrations of functionally graded material circular cylindrical shells. They compared their results for the validity and accuracy by the results mentioned in the literature and found an excellent agreement between two sets of results. Arshad et al [12] analyzed
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