Flutter Instability of a Discontinuous Cantilevered Pipe Conveying Fluid

유동유체에 의한 불연속 외팔 파이프의 플러터 불안정

This paper deals with the dynamic stability and vibration of a non-uniform cantilevered pipe conveying fluid. The present model consists of two segments with different cross-sections. Governing equations of motion are derived by extended Hamilton's principle, and the numerical scheme using finite element method is applied to obtain the discretized equations. The critical flow velocities and stability maps of the pipe are obtained by changing step ratios, mass ratios and internal damping parameters of the pipe. Finally, the vibrational modes associated with flutter are shown graphically.