Eigenvalue branches and modes for flutter of cantilevered pipes conveying fluid

This paper describes the relationship between the eigenvalue branches and the corresponding unstable modes associated with flutter of cantilevered pipes conveying fluid. The order of branches in root locus diagrams is clearly defined. The flutter configuration of the pipes at the critical flow velocities are drawn graphically at every 12th period to define the order of quasi-mode of flutter configuration. The transferences of flutter-type instability from one eigenvalue branch to another are thoroughly investigated and discussed in case of continuous pipes conveying fluid. The critical mass ratios, at which the transference of the eigenvalue branches related to flutter take place, are definitely determined.