Based on the Bernoulli-Euler beam model,the dynamic equation of pipes conve-ying fluid with torsion spring constraints is established,which is discretized by using Galerkin's method.By analyzing the eigenvalues,the effects of parameters such as elastic stiffness of constraints,mass ratio,and distributed follower force on the complex frequency and critical flow velocity of pipes conveying fluid are studied.The stability of the pipe un-der different parameters is analyzed by means of curves of variation of complex frequency with flow rate.The results show that the critical flow velocity for instability of the pipe in-creases significantly with increasing torsion spring stiffness;the critical flow velocity of pipe decreases significantly with increasing distributed follower force.When the pipe con-veying fluid with torsion spring constraints is subjected to distributed follower force,the types of instability of the pipe are divergence and flutter.
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