Free vibration and Flutter Stability of Interconnected Double Graded Micro Pipes System Conveying Fluid

Abstract

Abstract Functionally gradient materials and small-scale pipes have a great important in industry because of its wide applications in many engineering fields such as, fluid transport in fluidic devices. The aim of this work is to study the dynamic stability of double FGM micro pipes conveying fluid depending on a modified couple stress theory. The two micro pipes are connected together continuously through elastic spring. The vibration equations with boundary conditions are acquired based on Hamilton’s principle and subsequently, solved by Galerkin’s method. The results of this research were compared with results reported in the literature. A reasonable agreement was found. Also, the influences of a gradient index of the material, a parameter of a length scale, the outer diameter of micro-pipe on the critical flow velocity and resonant frequencies are discussed. The results displayed that the critical velocities and natural frequencies are increased hastily with an increase in a gradient index n