The vibration characteristics of the bend pipe were studied by means of vibration power flow, as the problems of transmission efficiency reduction and structure damage for the hydraulic bend pipe of Hard Rock Tunnel Boring Machine (TBM) occur under the environment of strong vibration. Firstly, the calculation model of the elbow vibration power flow was established by the relationship between stress and power. Then, the influence rules of different basic vibration parameters and the elbow structure parameters on the stress were investigated through simulation, and the calculation method of total power and vibration power flow was given. Finally, the structure parameters of pipeline were optimized to reduce the vibration power flow of pipeline by 30.52%, and the design process of bend pipeline was proposed. The results show that the analytical method can provide the theoretical basis for the design and selection of the bend pipe.