Control of flexural vibration in a periodic pipe conveying fluid based on a Bragg scattering mechanism coupled with a locally resonant mechanism

Fluid and structure interaction in vibrating pipe systems that convey fluid exists in many fields. Flexural vibration control is very important because of the possible damage to pipe systems that can be caused by vibrations. Using the transfer matrix method, the band structure and the frequency response function of pipe flexural vibration are calculated to investigate the gap frequency range and the attenuation properties. The pipe is modeled as a periodic material composite structure based on Phononic Crystals with a Bragg scattering mechanism coupled to a locally resonant mechanism. The effects of rubber stiffness and mass of a locally resonant oscillator on attenuation properties are considered. The design of periodic pipe structure may be effective in vibration reduction in piping systems.