Analytical Model for Self-Excited Vibration of an Overflow Flexible Plate Weir

[+] Author and Article Information
S. Kaneko, H. Nagakura

Department of Mechanical Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

R. Nakano

Mechanical and Process Engineering Department, Kajima Technical Research Institute, Tokyo, Japan

J. Pressure Vessel Technol 121(3), 296-303 (Aug 01, 1999) (8 pages) doi:10.1115/1.2883706 History: Received September 17, 1998; Revised May 11, 1999; Online February 11, 2008


An analytical model for the self-excited vibration of an overflow flexible weir as observed in the French demonstration fast breeder reactor, Super Phenix-1, is proposed. The instability condition was derived for the case in which the plate vibrates at the frequency of the downstream tank sloshing. In this analysis, the flexible plate weir is modeled as a simply supported-free-simply supported-clamped rectangular plate. Eigenfunction expansions were applied for analyzing both plate vibrations and the downstream tank sloshing. The effect of an overflow liquid is formulated based on the assumption that the momentum change due to the collision of an overflow liquid partly transmitted to the pressure rise on the free surface. As a result, the characteristic equation of the system yielding the theoretical stability boundary was obtained. The stability boundary thus derived agreed well with experimental results.

Copyright © 1999 by The American Society of Mechanical Engineers
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