The nonlinear vibration analysis of the fluid conveying pipe based on finite element method

A Coupling between the fluid and the structure existed almost in all industrial areas the vibration of fluid solid coupling for fluid conveying pipe was called the dynamics of typical[1], Because of the physical model and mathematical description for the fluid conveying pipe was simple, especially it was easy to design and manufacturing, according to the characteristics of fluid conveying pipe, transformed the transverse vibration of the fluid conveying pipe to the beam element model of two nodes. Using Lagrangian interpolation function, the first order Hermite interpolation function and the Ritz method to obtain the element standard equation, and then integrated a global matrix equation. Used the mode decomposition method, obtained the vibration modal of the fluid conveying pipe with Matlab programming. The vibration modal of the fluid conveying pipe in four kinds of boundary conditions was analysed. The characteristics of pipes conveying fluid was obtained which the pipeline system parameters under different boundary constraints. To provide the theoretical support for the research of vibration attenuation of fluid conveying pipes.