Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves
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ISOPE_2015_0921_rev.pdf
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3.59 MB
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90e4343de15a35559a9782c320a48f96
Author(s) •
Joo, Han Kyul
Sapsis, Themistoklis P.
Date Issued
May 2015
Journal
Journal of Ocean and Wind Energy
Publisher
International Society of Offshore and Polar Engineers
Citation
Joo, Han Kyul, and Themistoklis Sapsis. “Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves.” Journal of Ocean and Wind Energy 2, no. 2 (May 2015).
Version
Author's final manuscript
Abstract
The moment equation closure minimization (MECM) method has been developed for the inexpensive approximation of the steady-state statistical structure of bistable systems, which have bimodal potential shapes and which are subjected to correlated
excitation. Our approach relies on the derivation of moment equations that describe the dynamics governing the two-time statistics. These are then combined with a closure scheme that arises from a non-Gaussian probability density function (PDF)
representation for the joint response-excitation statistics. We demonstrate its effectiveness through the application on a bistable nonlinear single-degree-of-freedom (SDOF) ocean wave energy harvester with linear damping, and the results compare favorably with direct Monte Carlo simulations.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.17736/jowe.2015.mmr10