Structural Engineering and Mechanics

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Vibrations and thermal stability of functionally graded spherical caps

  • Prakash, T. (Department of Applied Mechanics, Indian Institute of Technology Delhi) ;
  • Singh, M.K. (Department of Applied Mechanics, Indian Institute of Technology Delhi) ;
  • Ganapathi, M. (Institute of Armament Technology)
  • Received : 2005.12.13
  • Accepted : 2006.06.01
  • Published : 2006.11.10
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Abstract

Here, the axisymmetric free flexural vibrations and thermal stability behaviors of functionally graded spherical caps are investigated employing a three-noded axisymmetric curved shell element based on field consistency approach. The formulation is based on first-order shear deformation theory and it includes the in-plane and rotary inertia effects. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. The effective material properties are evaluated using homogenization method. A detailed numerical study is carried out to bring out the effects of shell geometries, power law index of functionally graded material and base radius-to-thickness on the vibrations and buckling characteristics of spherical shells.

Keywords

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