Vibration Characteristics of Functionally Gradient Shells with an Exponential Law Distribution Using Wave Propagation Approach Rested on Two Parameters Foundations

Abstract

The aim of this paper is to deal with the dynamic behaviour and vibration characteristics of thin functionally graded circular cylindrical shells. Material properties in the shell thickness direction are graded in accordance with the exponential law. Expressions for the strain-displacement and curvature-displacement relationships are taken from Love’s thin shell theory. The Rayleigh-Ritz approach is used to derive the shell eigenfrequency equation. Axial modal dependence is assumed in the characteristic beam functions. Natural frequencies of the shells are observed to be dependent on the constituent volume fractions. The results are compared with those available in the literature for the validity of the present methodology

Keywords

• Elastic Shell, functionally gradient material, exponential law

References

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