Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves
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- Gavrilyuk, I., Lukovsky, I., Trotsenko, Y. et al. J Eng Math (2007) 57: 57. doi:10.1007/s10665-006-9071-0
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Weakly nonlinear resonant sloshing in a circular cylindrical baffled tank with a fairly deep fluid depth (depth/radius ratio ≥ 1) is examined by using an asymptotic modal method, which is based on the Moiseev asymptotic ordering. The method generates a nonlinear asymptotic modal system coupling the time-dependent displacements of the linear natural modes. Emphasis is placed on quantifying the effective frequency domains of the steady-state resonant waves occurring due to lateral harmonic excitations, versus the size and the location of the baffle. The forthcoming Part 3 will focus on the vorticity stress at the sharp baffle edge and related generalisations of the present nonlinear modal system.