Abstract
In this work we obtain approximate analytical solutions of nonlinear differential equations believed to represent, firstly, the decaying oscillations of a rolling ship model and, secondly, the decaying oscillations of a column of water in a surface-piercing tube; this latter problem is relevant to some wave-power producing systems. The method used is due to Kryloff and Bogoliuboff and the forms of the analytical solution obtained are fitted to previously published experimental results with good agreement.
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