Vibration characteristics of functionally graded cylindrical shells under various boundary conditions
By S. C. Pradhan, C. Loy, Khin Yong Lam, J. Reddy. Applied Acoustics, 2000
470 citations recorded by the source corpus.
Abstract In the recent years, functionally gradient materials (FGMs) have gained considerable attention in the high temperature environment applications. In the present work, study of the vibration of a functionally graded cylindrical shell made up of stainless steel and zirconia is presented. Material properties are graded in the thickness direction of the shell according to volume fraction power law distribution. Effects of boundary conditions and volume fractions (power law exponent) on the natural frequencies of the FG cylindrical shell are studied. Frequency characteristics of the FG shell are found to be similar to those of isotropic cylindrical shells. Further, natural frequencies of these shells are observed to be dependent on the constituent volume fractions and boundary conditions. Strain displacement relations from Love's shell theory are employed. Rayleigh method is used to derive the governing equations. Further, analytical results are validated with those reported in the literature.
Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/a0ff5898f56db46cff01b34534aa0d004c7b860f
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Citations in the corpus
- Vibration characteristics of FGM circular cylindrical shells using wave propagation approach (2009, background): “Pradhan et al. [ 7 ]d id work on the vibration characteristics of an FGM cylindrical shell made of stainless steel and zirconia for a number of boundary conditions.”
- A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions (2013, methodology): “Moreover, the ordinary volume fraction profiles, such as those reported in literature [23,24], are presented as special cases of the general distribution laws by setting a = 1 and b = 0.”