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Pendulum energy converter excited by random loads

Dostal, Leo and Korner, Kevin and Kreuzer, Edwin and Yurchenko, Daniil (2018) Pendulum energy converter excited by random loads. ZAMM - Journal of Applied Mathematics and Mechanics, 98 (3). pp. 349-366. ISSN 0044-2267. http://resolver.caltech.edu/CaltechAUTHORS:20180404-110221662

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1002/zamm.201700007DOIArticle
https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201700007PublisherArticle
ORCID:
AuthorORCID
Dostal, Leo0000-0002-0365-2587
Additional Information:© 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. Received 11 January 2017, revised 6 July 2017, accepted 22 September 2017, Published online 8 November 2017. Part of this research was carried out while Kevin Korner was visiting the Institute of Mechanics and Ocean Engineering of Hamburg University of Technology. He has been funded by Cylad Consulting GmbH, which is greatly acknowledged.
Funders:
Funding AgencyGrant Number
Cylad Consulting GmbHUNSPECIFIED
Subject Keywords:Parametric excitation, pendulum dynamics, stochastic averaging, energy harvesting, random seas
Classification Code:MSC (2010): 60H35
Record Number:CaltechAUTHORS:20180404-110221662
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180404-110221662
Official Citation:Dostal, L. , Korner, K. , Kreuzer, E. and Yurchenko, D. (2018), Pendulum energy converter excited by random loads. Z. Angew. Math. Mech., 98: 349-366. doi:10.1002/zamm.201700007
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85598
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Apr 2018 18:18
Last Modified:04 Apr 2018 18:18

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