A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Abstract

In this study, semi-analytical boundary method is adopted to examine dynamic parameters of partially fluid-filled cylindrical shells made of functionally graded materials. Material properties are assumed to radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners in which the material properties of shell and stiffeners are assumed to be continuously graded in thickness direction. Displacements and rotations of the shell middle surface, the liquid velocity potential function and the free surface displacements are approximated by combining polynomial functions in meridian direction and truncated Fourier series and Bessel function. A detailed numerical study is carried out to investigate the effects of different parameters on dynamic response of stiffened functionally graded partially fluid-filled shell.

Geometrically nonlinear dynamic analysis of functionally graded porous partially fluid-filled cylindrical shells subjected to exponential loads

“…Velocity potential φ(r,s,θ,t) for the irrotational flow of an incompressible inviscid liquid satisfies equation (25) (Khayat et al, 2020)…”