Abstract
Dynamic behavior of axially functionally graded (FG) pipes conveying fluid is investigated numerically by using the generalized integral transform technique (GITT). The transverse vibration equation is integral transformed into a coupled system of second-order differential equations in the temporal variable. The Mathematica’s built-in function, NDSolve, is employed to numerically solve the resulting transformed ODE system. Excellent convergence of the proposed eigenfunction expansions is demonstrated for calculating the transverse displacement at various points of axially FG pipes conveying fluid. The proposed approach iss verified by comparing the obtained results with the available solutions reported in the literature. Moreover, parametric studies are 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.
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