Elastic response of fgm and anisotropic thick-walled pressure vessels under dynamic internal pressure

The present study aims to investigate the free and forced vibration behavior of thick-walled pressure vessels under dynamic internal pressure. The materials considered are specially-orthotropic or non homogeneous with elastic properties varying in the radial direction termed as Functionally Graded Material (FGM). Laplace transform method is used and the inversion into the time domain is performed using calculus of residues. Complex Laplace parameter in the free vibration equation has directly given natural frequencies and the results are given in tabular form. On the inner surface various axisymmetric dynamic pressures are applied and radial displacement and hoop stress are presented in the form of graphs. The results show that increasing the inhomogeneity parameter and the anisotropy parameter provide a stress-shielding effect. Closed-form solutions obtained in the present study are tractable and they allow for further parametric studies. The anisotropy constant and inhomogeneity parameter are useful parameters from a design point of view in that they can be tailored for specific applications to control the stress distribution. Keywords: Pressure vessels, Free vibration, Forced vibration, Laplace transform, Functionally graded material (FGM)