Abstract

An analytical model was developed for the dynamic analysis of an articulated loading platform (ALP) under regular wave excitations. The dynamic response and stability of the ALP tower, treated as a single-degree-of-freedom system, was investigated with direct numerical integration and approximate analytical methods. The highly nonlinear characteristics, including subharmonics, instabilities, period-doubling bifurcations and Lyapunov exponents, were examined. Possible occurrence of chaotic motion was investigated by means of direct numerical integration and application of the classical stability theory with the aid of Hill's type equation. It was discovered that for the parameters studied, chaotic motion with only take place under the action of a train of extremely large waves. Such motion may develop either through period-doubling bifurcations or take place suddenly depending on the excitation amplitude.

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