Stochastic rotational response of a parametric pendulum coupled with an SDOF system

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  • Heriot-Watt University


In this paper, parametric excitation of a lumped mass pendulum is investigated when having its pivot point vertically excited. Such a system is described by a sinus type nonlinear Mathieu equation and attention is drawn to the rotational motion of the mass. A single-degree-of-freedom (SDOF) system is used as a base for the pendulum, floating on ocean waves and being externally excited by them thus falling into the subclass of autoparametric systems. Due to the random nature of waves, a narrow-band stochastic process is used to model the environmental excitation. The effect of dry friction is considered and the interaction between the pendulum's rotational response and the base is studied.


Original languageEnglish
Pages (from-to)124-131
Number of pages8
JournalProbabilistic Engineering Mechanics
Early online date1 Nov 2013
Publication statusPublished - Jul 2014


  • Autoparametric system, Dry friction, Mathieu equation, Parametric pendulum, Random excitation, Rotational motion