**Nonlinear resonant characteristics of shallow fluid layers.** / Kobine, J. Jonathan.

Research output: Contribution to journal › Article

Kobine, JJ 2008, 'Nonlinear resonant characteristics of shallow fluid layers' *Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences*, vol 366, no. 1868, pp. 1331-1346.

Kobine, J. J. (2008). Nonlinear resonant characteristics of shallow fluid layers. *Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences*, 366(1868), 1331-1346doi: 10.1098/rsta.2007.2134

Kobine JJ. Nonlinear resonant characteristics of shallow fluid layers. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 2008 Apr 13;366(1868):1331-1346.

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title = "Nonlinear resonant characteristics of shallow fluid layers",

author = "Kobine, {J. Jonathan}",

year = "2008",

volume = "366",

number = "1868",

pages = "1331--1346",

journal = "Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences",

issn = "1364-503X",

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TY - JOUR

T1 - Nonlinear resonant characteristics of shallow fluid layers

A1 - Kobine,J. Jonathan

AU - Kobine,J. Jonathan

PY - 2008/4/13

Y1 - 2008/4/13

N2 - <p>Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the hysteretic nature of the resonance pro. le and the existence of non-trivial oscillatory components associated with shock-like discontinuities in the derived solution for the free surface configuration. The experimental results support the theoretical predictions and show a coincidence in parameter space between the regions of hysteresis and oscillatory transition.</p>

AB - <p>Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the hysteretic nature of the resonance pro. le and the existence of non-trivial oscillatory components associated with shock-like discontinuities in the derived solution for the free surface configuration. The experimental results support the theoretical predictions and show a coincidence in parameter space between the regions of hysteresis and oscillatory transition.</p>

KW - free-surface flows

KW - resonance

KW - nonlinearity

KW - SQUARE-BASE BASIN

KW - SURFACE-WAVES

KW - WATER WAVES

KW - OSCILLATIONS

U2 - 10.1098/rsta.2007.2134

DO - 10.1098/rsta.2007.2134

M1 - Article

JO - Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences

SN - 1364-503X

IS - 1868

VL - 366

SP - 1331

EP - 1346

ER -