Dynamics of axially functionally graded pipes conveying fluid using a higher order shear deformation theory

This study presents a novel approach for addressing dynamical characteristics of fluid conveying axially functionally graded pipes. The variation material properties the pipe along axial direction is taken into account according to power-law function. Owing unified expression displacement field, developed model can be recast classical Euler – Bernoulli and Timoshenko tube models as well newly higher order shear deformable model; latter satisfies zero-shear conditions on free surfaces, hence yields more realistic results. system partial differential equations governing dynamics pipes derived through utilization Hamilton’s principle. Differential quadrature scheme used discretize generate numerical Detailed investigations current fluid-solid interaction problem elucidate effects gradation pattern, transverse deformation distribution profile radial velocity natural frequencies critical velocity, which significant design parameter, also determined by means procedures in this study.