Vibration analysis of pipes conveying fluid by transfer matrix method

•A theoretical study on vibration analysis of pipes with FSI is presented.•Pipelines with high fluid pressure and velocity can be solved by developed method.•Several pipeline schemes are discussed to illustrate the application of the method.•The proposed method is easier to apply compared to most existing procedures.•Influence laws of structural and fluid parameters on FSI of pipe are analyzed.

Considering the effects of pipe wall thickness, fluid pressure and velocity, a developed 14-equation model is presented, which describes the fluid–structure interaction behavior of pipelines. The transfer matrix method has been used for numerical modeling of both hydraulic and structural equations. Based on these models and algorithms, several pipeline schemes are presented to illustrate the application of the proposed method. Furthermore, the influence laws of supports, structural properties and fluid parameters on the dynamic response and natural frequencies of pipeline are analyzed, which shows using the optimal supports and structural properties is beneficial to reduce vibration of pipelines.