Model development of flow-induced vibrations of shell-type long-span gates with underflow (1st report, derivation of equation of motion)

• Published in: Nihon Kikai Gakkai rombunshuu. B hen Vol. 63; no. 606; pp. 560 - 568
• Main Authors: Nakata, Akinori, Ishii, Noriaki
• Format: Journal Article
• Language: Japanese
• Published: 01.01.1997
• Subjects: Equations of motion; Fluids; Hydrodynamics; Mathematical models; Plates (structural components); Pressure; Vibrations (mechanical)
• ISSN: 0387-5016

Shell-type long-span gates in which the upstream gate face consists of vertical and inclined skin plates (also referred to as weir plates) possess two degrees of freedom, one each in the streamwise (horizontal) and vertical directions, due to the gate's bending flexibility in these two directions. The streamwise and vertical directions can become closely which one another through hydrodynamic forces acting on the weir plates, resulting in severe self-excited vibrations. Here, a two-dimensional model study of a shell-type long-span gate with small gate opening was performed to examine the validity of an assumption of a hydrodynamic pressure acting on the inclined weir plate. In addition, the hydrodynamic pressure acting on the upstream gate face and the exact equation of motion of the flow-induced vibration of shell-type long-span gates were described.