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# Jafari., A., Kabiri-Samani, A. R., Behnamfar, F., (2017) “Flow-induced horizontal and vertical vibrations of sluice gates”, Proceedings of the ICE, Water Management, Vol. 171, No. 3, pp. 152–162.

The present study focuses on out-of-plane and in-plane vibrations of sluice gates due to the fluid–structure interaction based on numerical modelling, using the finite-element method. Primarily, the vibration of the gate was restricted to a single direction, detaching the horizontal and vertical vibrations of the gate so as to exclude their interaction. Results indicated that, if the edge of the gate is bevelled at an angle of 45°, the lowest amplitudes of horizontal vibrations are obtained. Whereas the maximum horizontal vibrations are associated with the uppermost values of the reduced velocities, for example *v*_{r} > 3·5, as well as the gate's normalised opening height *δ*/*d* of about 0·8, the maximum vertical vibrations are attained for intermediate values of *v*_{r}, at about 3, and *δ*/*d* = 0·8. If both the horizontal and vertical vibrations are mutually considered, the two-dimensional reduced velocities *v*_{rx} and *v*_{ry} and the structural natural frequencies *f _{x}* and

*f*become relatively different compared to these of single-way vibrations. Results also indicated that the amplitudes of the horizontal vibrations in the authors' previous analyses were considerably greater than those of single-way horizontal vibrations. The maximum amplitude of the horizontal vibrations was observed to be close to the out-of-plane natural frequency, when 3·5 <

_{y}*v*

_{rx}< 7 and

*v*

_{ry}> 10. For vibration frequencies close to the vertical natural frequency

*f*, however, the dominant vertical vibrations occur for 2 <

_{y}*v*

_{ry}< 4.