Nonlinear mechanic analysis of a composite pipe conveying solid-liquid two-phase flow

Nowadays, resources such as oil and natural gas are the main energy substances that support economic development and social progress. Generally, pipelines are used to transport oil and natural gas resources because of the advantages of good continuity and high efficiency, but this kind of transmission condition may cause more complex mechanical behaviors. In this work, we present the use of fiber reinforced composite to construct the pipeline conveying a solid-liquid two-phase fluid for improving the mechanic environments and studied the nonlinear vibration and post-buckling behaviors. The nonlinear dynamic equation governed the transverse motion of the proposed piping model is established by taking advantage of the Hamilton's principle. The analytical method is employed to put forward the post-buckling configurations, and a powerful methodology named the homotopy analysis method is applied to solve the governing equation for predicting the nonlinear vibration behaviors. Numerical simulations are carried out to disclose the influence of the velocity of liquid phase, slip ratio, volume coefficient of liquid and solid phases on the post-buckling behaviors. What's more, it is worth noting that nonlinear free vibration is significantly affected by the material parameters such as the fiber orientation angle, which suggests the mechanics of pipes conveying fluid can be tuned by introduce of man-made fiber reinforced materials.