Abstract:Longitudinal vibration and flexural vibration in a bend pipe system is studied. The bend pipe is modeled as a periodic composite materials structure based on the Bragg scattering mechanism of Phononic Crystals, and then obtain the Bragg band structure. Using a transfer matrix method, the frequency response functions (FRFs) of longitudinal vibration and flexural vibration are calculated to study the vibration transfer properties of the Bragg periodic L-shaped pipe. The correctness of the transfer matrix method is proved by the calculation of commercial software MSC.Patran. The effects of damping factor on the frequency response function of pipe vibration are considered. The periodic bend fluid pipe may be effective in vibration reduction in a complex pipe system.