Vibration analysis of porous axially graded pipe conveying-fluid lying on the Pasternak foundation

Elaikh, Talib EH.; Qassim Jerad, Zahraa; Abdul-Hussein Ouda, Ahmed

doi:10.24271/psr.2025.489929.1822

Vibration analysis of porous axially graded pipe conveying-fluid lying on the Pasternak foundation

Document Type : Original Article

Authors

Talib EH. Elaikh

Zahraa Qassim Jerad

Ahmed Abdul-Hussein Ouda

Department of Mechanical Engineering, College of Engineering, University of Thi-Qar, Thi-Qar, 64001, Iraq.

10.24271/psr.2025.489929.1822

Abstract

This paper investigates the stability of an axially functionally graded (AFG) pipe carrying fluid flow, supported by two elastic foundations and constrained by double-clamped end conditions. Hamilton's principle provides the vibration equations, while the Galerkin procedure discretizes the system equation to facilitate analysis of the dynamic behavior. The pipe’s mechanical properties vary along the axial direction according to a power-law distribution. Results are presented for different values of material gradient, porosity, boundary conditions, elastic foundation properties, and flow velocity, with comparisons to existing studies on homogeneous pipes on elastic foundations. The findings show that stability increases with higher foundation stiffness and Young’s modulus ratio, while it decreases as the axial gradient and porosity coefficients increase.

Keywords

(AFGP)

Pasternak foundation

Pipe conveys fluid

Porosity

Galerkin method (GM)