Vibration Analysis of Porous Axially Graded Pipe Conveying Fluid on the Pasternak foundation

Abstract

This paper investigates the stability of an axially functionally graded (AFG) pipe carrying fluid supported by two elastic foundations and constrained by double-clamped end conditions. The Hamilton principle provides the vibration equations, while the Galerkin procedure discretizes the system equation to facilitate dynamic behaviour analysis. Mechanical properties of the pipe vary axially following a power-law distribution. The effect of material gradients, porosities, boundary conditions, elastic foundation properties, and flow velocity on pipe stability is investigated. The present study results are compared to the existing literature for homogeneous pipes on elastic foundations. The results show that stability increases with higher foundation stiffness and Young’s modulus ratio, decreasing as the axial gradient and porosity coefficients increase.