Abstract
The dynamic behavior of an axially functionally graded pipeline conveying gas–liquid two-phase flow is studied using the Euler–Bernoulli beam model and the generalized integral transform method (GITT). The influence of changes in functionally graded material parameters, boundary conditions, and gas volumetric fraction of two-phase flow on the linear stability of functionally graded pipes is investigated. The results indicate that the gradient of elastic modulus has a significant influence on the complex frequency, critical velocity for instability, and coupling flutter of the functionally graded pipeline. Additionally, the gradient of density has a significant effect on the complex frequency of the functionally graded pipe. The boundary conditions of the pipe have a significant influence on its dynamic response. The pipe exhibits higher stability when both ends are fixed, followed by the combination of fixed support and simple support. Conversely, the condition of simply supported at both ends is the most susceptible to instability. The gas volumetric fraction also plays a significant role in the dynamic behavior of functionally graded pipes conveying gas–liquid two-phase fluids.
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