การวิเคราะห์การแอ่นตัวมากของท่อลำเลียงของไหลที่มีความยาวส่วนโค้งแปรเปลี่ยนได้โดยวิธีไฟไนต์เอลิเมนต์

Abstract

This paper presents the large deflection analysis of variable-arc-length pipe (VAL pipe) transporting fluid by considering the effects of lateral load and internal pressure variation. The mathematical model of VAL pipe is derived by using the energy principle. Additionally, the set of nonlinear first-order differential equation regarding the internal forces are derived by considering the equilibrium of force and moment of the differential pipe segment. The variation of internal pressure along the pipe is calculated by using the Euler-Bernoulli equation. In this study, the finite element method is used to solve the numerical solution, which is found to be compatible with those result from the shooting method given in the previous research. The numerical results indicate that the effect of the internal fluid velocity and compression at the support are to increase the pipe displacement and cause to loss the pipe stability.