Abstract
This paper deals with nonlinear liquid surface wave motion in a tank subjected to horizontally and vertically excitation. In theoretical analysis, the fluid is assumed to be incompressible, inviscid, and irrotational. The governing equations of liquid surface wave motion are given by applying the variational principle. In addition, we derive nonlinear an ordinary differential system which govern liquid surface wave motions by using Dirichlet-Neumann operators and the generalized Fourier series expansion. The time histories of surface wave motion are obtained by solving the ordinary differential system. Moreover, the frequency components are observed by applying the discrete Fourier Transform to the theoretical results and the experimental results. The validly of the theoretical result by using Dirichlet-Neumann operators is verified through the experiments.
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