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Theoretical and experimental study of a pendulum excited by random loads

Part of: Applications - Dynamical systems and ergodic theory Stochastic analysis

Published online by Cambridge University Press:  18 September 2018

L. DOSTAL  and
M.-A. PICK
L. DOSTAL
Affiliation:
Institute of Mechanics and Ocean Engineering, Hamburg University of Technology, 21073 Hamburg, Germany email: dostal@tuhh.de, pick@tuhh.de
M.-A. PICK
Affiliation:
Institute of Mechanics and Ocean Engineering, Hamburg University of Technology, 21073 Hamburg, Germany email: dostal@tuhh.de, pick@tuhh.de
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Abstract

Results on the behaviour of a pendulum which is parametrically excited by large amplitude random loads at its pivot are presented, including a novel experimental case study. Thereby, it is dealt with a random excitation by a non-white Gaussian stochastic process with prescribed spectral density. Special focus is devoted to stochastic processes resulting from random sea wave elevation and the question whether random sea waves can lead to rotational motion of the parametrically excited pendulum. The motivation for such an experimental study is energy harvesting from ocean waves.

Keywords

Parametric excitationpendulum dynamicsstochastic averagingexperimental random excitationenergy harvesting

MSC classification

Primary: 60H30: Applications of stochastic analysis (to PDE, etc.)
Secondary: 60H10: Stochastic ordinary differential equations 37N10: Dynamical systems in fluid mechanics, oceanography and meteorology
Type
Papers
Information
European Journal of Applied Mathematics , Volume 30 , Special Issue 5: Stochastic Analysis in Applications , October 2019 , pp. 912 - 927
Copyright
© Cambridge University Press 2018 

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