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The focus of this article is to study the free vibration behaviour of a stiffened and unstiffened lock gate in contact with a fluid. Here, the viscosity and compressibility of the fluid are neglected, and fluid flow is assumed to be irrotational flow. The equation of the fluid domain is solved using Fourier half range cosine series to truncate the boundary of the unrestrained fluid domain. The finite element method is applied to solve the fluid–structure interaction problem by developing a computer code in MATLAB. Stiffened lock gate is discretized by eight noded isoparametric quadratic plate bending elements and three noded isoparametric quadratic beam elements. Twenty noded brick elements are applied to frame the fluid domain. The stiffener element is formulated in such a manner that it can be placed at any orientation within the plate element. The natural frequencies of lock gate coupled with and without fluid are determined using the present formulation. Various parametric studies are also carried out with varying depth of fluid, aspect ratio, the orientation of stiffeners, number of stiffeners, and type of stiffener, and it is observed that the change in the parameters significantly affects the free vibration characteristics of stiffened and unstiffened lock gate coupled with fluid.
Journal of The Institution of Engineers (India):Series A – Springer Journals
Published: Dec 1, 2022
Keywords: Free vibration; Stiffened Lock gate; Finite element method; Fluid–structure interaction
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