Dynamic analysis of fluid-conveying pipes

Technical Report · Sat Nov 01 04:00:00 EST 1975

DOI:https://doi.org/10.2172/7277873· OSTI ID:7277873

Lin, H C; Chen, S S

The dynamics of a fluid-conveying pipe, clamped at the upstream end and elastically supported at the downstream end, are studied and applied to the special case of an LMFBR steam-generator tube. First, the governing equations of the mathematical model are presented in a universal dimensionless form. Then, the stability/instability boundaries of the system are discussed. Finally, an approximate solution based on the modal expansion technique is presented for transient response; several numerical examples are presented to illustrate the method of analysis. It is shown that the pipe may lose its stability by buckling, flutter, or both, depending on the magnitudes of the displacement as well as rotational-spring constants at the end. In general, the critical flow velocity is very high; hence, system components such as steam-generator tubes are unlikely to lose stability in practical flow-velocity ranges. However, the response in subcritical flow-velocity ranges is also important; the method presented can accurately predict the response of a system to an excitation with an arbitrary initial condition and time-dependent boundary condition. The method can also be applied to other nonconservative systems.

• Research Organization: Argonne National Lab., IL (USA)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7277873
• Report Number(s): ANL-75-54
• Country of Publication: United States
• Language: English

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