Journal ArticleDOI
Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth
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In this paper, a multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth is presented, where the modality is modelled as a set of modalities.Abstract:
Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depthread more
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Journal ArticleDOI
Seismic Control of Base-Isolated Liquid Storage Tanks Subjected to Bi-directional Strong Ground Motions
Sourabh Vern,Mahendra Kumar Shrimali,Shiv Dayal Bharti,Tushar Kanti Datta,Ehsan Noroozinejad Farsangi +4 more
TL;DR: In this paper, the seismic performance of the base-isolated 3D model of concrete LSTs is investigated under two-component earthquakes as not much literature is available on the subject.
Journal ArticleDOI
Numerical simulation of tuned liquid tank- structure systems through
M. Eswaran,G.R. Reddy +1 more
TL;DR: In this paper, a numerical simulation procedure is presented to study the performance of a tuned liquid tank-structured structure system through o-transformation based fluid-structure coupled solver.
Proceedings ArticleDOI
A Classification of Shallow Water Resonant Sloshing in a Rectangular Tank
TL;DR: In this article, a numerical and experimental analysis of sloshing phenomena (i.e., violent fluid motions inside a tank) has been conducted in shallow water regimes, and a large range of experimental data from moderate to large amplitude sway motions has been considered for different filling heights.
Journal ArticleDOI
Study on Liquid Sloshing in an Annular Rigid Circular Cylindrical Tank with Damping Device Placed in Liquid Domain
TL;DR: In this article, the authors report the sloshing modes and frequency in the annular region of two coaxial vertical circular cylinders, where an annular baffle divides the liquid region into four regions, and with the help of the matching conditions across the virtual interfaces, set up a system of linear equations by solving which they determine the natural frequencies.
Journal ArticleDOI
An alternative view on the Bateman–Luke variational principle
TL;DR: In this article, the Bateman-Luke variational principle is used to recover the boundary value problem governing the motion of potential water waves in a container undergoing prescribed rigid-body motion in three dimensions.
References
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Journal ArticleDOI
A variational principle for a fluid with a free surface
TL;DR: In this paper, the full set of equations of motion for the classical water wave problem in Eulerian co-ordinates is obtained from a Lagrangian function which equals the pressure.
Journal ArticleDOI
Partial Differential Equations of Mathematical Physics
TL;DR: Bateman as mentioned in this paper argued that the main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. But the discovery of wave mechanics restored the status quo ante, and today differential equations are more important than ever before.
Journal ArticleDOI
A Nonlinear Theory of Sloshing in Rectangular Tanks
TL;DR: In this paper, a nonlinear, inviscid boundary-value problem of potential flow is formulated and the steady-state solution is found as a power series in epsilon to the one-third correctly to the order Epsilon.
Journal ArticleDOI
Nonlinear surface waves in closed basins
TL;DR: The Lagrangian and Hamiltonian for nonlinear gravity waves in a cylindrical basin are constructed in terms of the generalized co-ordinates of the free-surface displacement, {qn(t)} ≡ q, thereby reducing the continuum-mechanics problem to one in classical mechanics as discussed by the authors.