Equivalent Added Mass and Wave-Radiation Damping Coefficients for Flow-Induced Rotational Vibrations of Vertical Weir Plate

• Published in: Nihon Kikai Gakkai rombunshuu. B hen Vol. 68; no. 668; pp. 1072 - 1079
• Main Authors: ANAMI, Keiko, ISHII, Noriaki, TAKANO, Wataru
• Format: Journal Article
• Language: Japanese; English
• Published: The Japan Society of Mechanical Engineers 2002
• Subjects: Wave-Radiation Damping Coefficient
• DOI: 10.1299/kikaib.68.1072
• ISSN: 0387-5016

The streamwise rotational vibration of the skinplate of Tainter gates induces an excessive push-and-draw pressure. The potential theory developed for dissipative wave radiation problems was applied to analyze the push-and-draw pressure, where the circular-arc skinplate was replaced by a vertical, flat and rigid weir plate so that theoretical calculations could be made. This paper presents theoretically derived dimensionless equivalent added mass and the wave-radiation damping coefficients due to the rotational vibrations of the vertical, flat, and rigid weir plate. The theoretical push-and-draw pressure was applied to derive the equation of motion of the flow-induced rotational vibrations. Nondimensionalization of these equations of motion yielded the equivalent added mass and the wave-radiation damping coefficients in dimensionless form. Model experiments for free vibration tests of a vertical, flat and rigid weir plate model, both in air and in water, were performed to measure the equivalent added mass and the wave-radiation damping coefficients. Experimental results compared favorably with the theoretical predictions, thus validating the theoretical analysis of the equivalent added mass and wave-radiation damping coefficients as a prediction tool for flow-induced vibrations.