Pendulum energy converter excited by random loads

Pendulum energy converter excited by random loads We present new solutions for the dynamics of a pendulum energy converter which is vertically excited at its suspension point. Thereby, we deal with a random excitation by a non‐white Gaussian stochastic process. We formulate the pendulum energy converter as a weakly perturbed Hamiltonian system. The random process across the energy levels of the Hamiltonian system is then approximated by a Markov process, which is obtained by stochastic averaging. This procedure leads to analytical results for the energy of the pendulum motion, which are used for analyzing the required probability of reaching higher energy states of the pendulum energy converter in order to maximize the harvested energy. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik Wiley
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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
ISSN
0044-2267
eISSN
1521-4001
D.O.I.
10.1002/zamm.201700007
Publisher site
See Article on Publisher Site

Abstract

We present new solutions for the dynamics of a pendulum energy converter which is vertically excited at its suspension point. Thereby, we deal with a random excitation by a non‐white Gaussian stochastic process. We formulate the pendulum energy converter as a weakly perturbed Hamiltonian system. The random process across the energy levels of the Hamiltonian system is then approximated by a Markov process, which is obtained by stochastic averaging. This procedure leads to analytical results for the energy of the pendulum motion, which are used for analyzing the required probability of reaching higher energy states of the pendulum energy converter in order to maximize the harvested energy.

Journal

Zamm-Zeitschrift Fuer Angewandte Mathematik Und MechanikWiley

Published: Jan 1, 2018

Keywords: ; ; ; ; ;

References

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