A steady-state equilibrium configuration in the dynamic analysis of a curved pipe conveying fluid

This paper discusses a steady-state equilibrium configuration and a set of linearized equations of motion for the dynamic analysis of a semi-circular fluid-conveying pipe. Through application of the perturbation method to the equations of motion for a semi-circular pipe, new nonlinear equilibrium equations were derived and the equations of motion were linearized around the equilibrium configuration of the pipe. The equilibrium configurations obtained from the derived nonlinear equilibrium equations were compared to configurations from the linear equilibrium equations of other researchers. Additionally, the natural frequencies computed in this study were compared with the frequencies presented in a previous study. It was found that the steady-state equilibrium configuration should be determined using the proposed nonlinear equilibrium equations rather than previous linear equilibrium equations. Furthermore, it was shown that the natural frequencies computed with the proposed equilibrium equations were more accurate than the frequencies of other studies.