Abstract
Fluid transmission pipelines, especially curved pipes, are widely used in industrial systems. Vibration characteristics of pipes are highly correlated with the reliability and safety of industrial systems. Therefore, in this paper, a new dynamic stiffness method is proposed to solve the above vibration characteristics of the curved pipes conveying fluid. The dynamic stiffness method can be used to calculate the vibration characteristics of the pipes conveying fluid under arbitrary boundary conditions, By comparing the results of finite element method with those of this method, the correctness of this method is verified. Finally, the vibration characteristics of the pipeline at different angles are calculated by this method. The results show that with the increase of θ value of radian angle in the pipes conveying fluid, both the frequency and critical velocity of in-plane and out-of-plane of the corresponding order decrease, and the natural frequency decreases greatly when θ is small, while the natural frequency decreases little when θ is large.
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