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

  • Shahid Hussain Arshad The University of Manchester, UK
  • Muhammad Nawaz Naeem Govt. College University, Faisalabad, Pakistan
  • Constantinos Soutis Director, Professor, The University of Manchester, UK
Keywords: Three-layered sandwich cylindrical shell, functionally graded material, isotropic material, ring support, Love’s thin shell theory, Rayleigh–Ritz approach.

Abstract

In this vibration analysis, influence of ring supports on functionally gradient threelayeredsandwich cylindrical shells is presented with middle layer fabricated ofisotropic 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-displacementsrelationship. Rayleigh–Ritz approach is employed to form the shell frequency equation.Axial modal dependence is approximated by characteristics beam functions. Study iscarried out for placing ring support in different position of the shell, for differentconfiguration of the functionally graded material’s layers to investigate the naturalfrequencies of the cylindrical shells under different boundary conditions for a numberof physical parameters. Results obtained are validated with the previous publishedworks in the open literature.

Author Biographies

Shahid Hussain Arshad, The University of Manchester, UK
Research Associate, Aerospace Research Institute and North-West Composite Centre, The University of Manchester, UK
Muhammad Nawaz Naeem, Govt. College University, Faisalabad, Pakistan
Associate Professor, Department of Mathematics, G. C. Univesity Faisalabad, Pakistan
Constantinos Soutis, Director, Professor, The University of Manchester, UK
Director, Aerospace Research Institute and North-West Composte Centre, The Univesity of Manchester, UK

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Published
2016-03-06
Issue
Vol 4 No 1 (2016)
Section
Mechanical Engineering