Based on Euler-Bernoulli beam model,the dynamic differential equation for fluid-conveying pipes under co-action of end follower force and flowing fluid is established,which is then discretized with Galerkin method by choosing the beam modal functions as trial functions.Influences of different parameters to the vibration and stability of cantilever pipes conveying fluid and the relationship between dimensionless complex frequency and the critical flow velocity are studied by analyzing eigenvalues.Results show that the variation of the end follower force has great influence on the critical flow ...
