Original Paper

Journal of Engineering Research

, 4:9

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Influence of ring support on free vibration of sandwich functionally graded cylindrical shells with middle layer of isotropic material

  • Shahid Hussain ArshadAffiliated withAerospace Research Institute and North-West Composite Centre, The University of Manchester Email author 
  • , Muhammad Nawaz NaeemAffiliated withDepartment of Mathematics, G. C. University Faisalabad
  • , Constantinos SoutisAffiliated withAerospace Research Institute and North-West Composite Centre, The University of Manchester

Abstract

In this vibration analysis, influence of ring supports on functionally gradient threelayered sandwich cylindrical shells is presented with middle layer fabricated of isotropic material. The ring support is introduced beside radial direction of the shell. Love’s first order thin shell theory is used for strain- and curvature-displacements relationship. Rayleigh–Ritz approach is employed to form the shell frequency equation. Axial modal dependence is approximated by characteristics beam functions. Study is carried out for placing ring support in different position of the shell, for different configuration of the functionally graded material’s layers to investigate the natural frequencies of the cylindrical shells under different boundary conditions for a number of physical parameters. Results obtained are validated with the previous published works in the open literature.

Keywords

Three-layered sandwich cylindrical shell functionally graded material isotropic material ring support Love’s thin shell theory Rayleigh–Ritz approach