Vibration and Dynamic Stability of Pipes Conveying Fluid on Elastic Foundations

• Published in: Journal of mechanical science and technology Vol. 18; no. 12; pp. 2148 - 2157
• Main Authors: Ryu, Bong- Jo, Ryu, Si-Ung, Kim, Geon- Hee, Yim, Kyung- Bin
• Format: Journal Article
• Language: English
• Published: Seoul 대한기계학회 01.12.2004; Springer Nature B.V
• Subjects: Configurations; Conveying; Critical flow; Critical mass; Damping; Dynamic stability; Eigenvalues; Elastic foundations; Equations of motion; Finite element method; Flow mapping; Flow stability; Flow velocity; Fluid flow; Fluids; Flutter; Foundations; Hamilton's principle; Mass ratios; Mathematical analysis; Pipe; Pipes; Studies; Vibration; 기계공학
• ISSN: 1738-494X; 1226-4865; 1976-3824
• DOI: 10.1007/BF02990219

The paper deals with the vibration and dynamic stability of cantilevered pipes conveying fluid on elastic foundations. The relationship between the eigenvalue branches and corresponding unstable modes associated with the flutter of the pipe is thoroughly investigated. Governing equations of motion are derived from the extended Hamilton's principle, and a numerical scheme using finite element methods is applied to obtain the discretized equations. The critical flow velocity and stability maps of the pipe are obtained for various elastic foundation para-meters, mass ratios of the pipe, and structural damping coefficients. Especially critical mass ratios, at which the transference of the eigenvalue branches related to flutter takes place, are precisely determined. Finally, the flutter configuration of the pipe at the critical flow velocities is drawn graphically at every twelfth period to define the order of the quasi-mode of flutter configuration.[PUBLICATION ABSTRACT]