Effects of longitudinal fins on dynamic stability of pipes conveying fluid made of functionally graded material

Dynamic behavior and instability of clamped-clamped pipes conveying fluid with longitudinal fins are studied in this paper. The analysis is done for pipes made of both homogeneous and functionally graded materials (FGM). In the FGM case, the materials of pipe and fins are assumed to be graded through the radial direction based on a power-law distribution. The Hamiltonian principle and Euler-Bernoulli beam assumptions are employed to derive the governing differential equations of the pipe system. Different fin configurations are investigated and the effects of several parameters including power‐law index, fluid velocity, number of fins, thickness and height of the fins are analyzed. Natural frequencies of the pipe and critical flow velocities are determined for various values of parameters. Numerical results show that the stability of the system is significantly affected by the power‐law index and fin dimensions. Among different fin configurations studied in this paper, the addition of non-horizontal fins provides significant improvement in the stability of both homogeneous and FGM pipes conveying fluid and consequently, can be considered as an effective “dynamic stabilizer” for the pipe system. In contrast to non-horizontal fins, the horizontal fins improve the stability of pipes conveying fluid, slightly.