Dynamic behavior of axially functionally graded pipes conveying fluid.

*(English)*Zbl 1426.74179Summary: Dynamic behavior of axially functionally graded (FG) pipes conveying fluid was investigated numerically by using the generalized integral transform technique (GITT). The transverse vibration equation was integral transformed into a coupled system of second-order differential equations in the temporal variable. The Mathematica’s built-in function, NDSolve, was employed to numerically solve the resulting transformed ODE system. Excellent convergence of the proposed eigenfunction expansions was demonstrated for calculating the transverse displacement at various points of axially FG pipes conveying fluid. The proposed approach was verified by comparing the obtained results with the available solutions reported in the literature. Moreover, parametric studies were performed to analyze the effects of Young’s modulus variation, material distribution, and flow velocity on the dynamic behavior of axially FG pipes conveying fluid.

##### MSC:

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

74H45 | Vibrations in dynamical problems in solid mechanics |

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\textit{C. An} and \textit{J. Su}, Math. Probl. Eng. 2017, Article ID 6789634, 11 p. (2017; Zbl 1426.74179)

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