Steel and Composite Structures

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Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure

  • Khayat, Majid (Department of Civil Engineering, Shahid Chamran University) ;
  • Poorveis, Davood (Department of Civil Engineering, Shahid Chamran University) ;
  • Moradi, Shapour (Department of Mechanical Engineering, Shahid Chamran University)
  • Received : 2016.08.15
  • Accepted : 2016.12.03
  • Published : 2017.01.20
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Abstract

This paper is presented to solve the buckling problem of functionally graded truncated conical shells subjected to displacement-dependent pressure which remains normal to the shell middle surface throughout the deformation process by the semi-analytical finite strip method. Material properties are assumed to be temperature dependent, and varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The governing equations are derived based on first-order shear deformation theory which accounts for through thickness shear flexibility with Sanders-type of kinematic nonlinearity. The element linear and geometric stiffness matrices are obtained using virtual work expression for functionally graded materials. The load stiffness also called pressure stiffness matrix which accounts for variation of load direction is derived for each strip and after assembling, global load stiffness matrix of the shell which may be un-symmetric is formed. The un-symmetric parts which are due to load non-uniformity and unconstrained boundaries have been separated. A detailed parametric study is carried out to quantify the effects of power-law index of functional graded material and shell geometry variations on the difference between follower and non-follower lateral buckling pressures. The results indicate that considering pressure stiffness which arises from follower action of pressure causes considerable reduction in estimating buckling pressure.

Keywords

References

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