Dynamic Characteristic of an Extensile Curved Pipe Conveying Fluid

Abstract

The dynamic characteristics of an extensile curved pipe conveying fluid are investigated when the pipe is clamped at both ends. In this study, the pipe modeled as the Euler-Bernoulli beam and the Lagrange strain theory is adopted for the large deformation. By using the extended Hamilton principle, the non-linear partial differential equations are derived for the in-plane and out-of-plane motions of the pipe, which are coupled to each other. In order to study the dynamic characteristics, the discretized non-linear equations of motion are derived by using the Galerkin method, and then these equations are computed for the variation of the fluid velocity. In addition, four non-linear models sre established. with four modeling concepts, the effects of the nono-linearity on the natural frequencies are investigated. As the results of analysis, the simple and suitable model for the vibration analysis is prposed.