Kryloff-Bogoliuboff’s solution to decaying nonlinear oscillations in marine systems

Article type: Research Article

Authors: Flower, J.O.^a | Sabti Aljaff, W.A.K.^b

Affiliations: [a] Department of Engineering Science, University of Exeter, U.K. | [b] School of Engineering and Applied Sciences, University of Sussex, Brighton, U.K.

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.

DOI: 10.3233/ISP-1980-2731302

Journal: International Shipbuilding Progress, vol. 27, no. 313, pp. 225-230, 1980