Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves
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 m...
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| Format: | Article |
| Language: | en_US |
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International Society of Offshore and Polar Engineers
2017
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| Online Access: | http://hdl.handle.net/1721.1/109333 https://orcid.org/0000-0003-0302-0691 |
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| author | Joo, Han Kyul Sapsis, Themistoklis P. |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Joo, Han Kyul Sapsis, Themistoklis P. |
| author_sort | Joo, Han Kyul |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:06:09Z |
| format | Article |
| id | mit-1721.1/109333 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:06:09Z |
| publishDate | 2017 |
| publisher | International Society of Offshore and Polar Engineers |
| record_format | dspace |
| spelling | mit-1721.1/1093332022-09-30T13:27:01Z Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves Joo, Han Kyul Sapsis, Themistoklis P. Massachusetts Institute of Technology. Department of Mechanical Engineering Sapsis, Themistoklis P. Joo, Han Kyul Sapsis, Themistoklis P. 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. Samsung Scholarship Program (grant “Nonlinear Energy Harvesting From Broad-Band Vibrational Sources By Mimicking Turbulent Energy Transfer Mechanisms) MIT Energy Initiative (grant “Nonlinear Energy Harvesting From Broad-Band Vibrational Sources By Mimicking Turbulent Energy Transfer Mechanisms) American Bureau of Shipping (Career Development Chair) 2017-05-25T12:50:26Z 2017-05-25T12:50:26Z 2015-05 Article http://purl.org/eprint/type/ConferencePaper 23103604 http://hdl.handle.net/1721.1/109333 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). https://orcid.org/0000-0003-0302-0691 en_US http://dx.doi.org/10.17736/jowe.2015.mmr10 Journal of Ocean and Wind Energy Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf International Society of Offshore and Polar Engineers Prof. Sapsis via Howard Silver |
| spellingShingle | Joo, Han Kyul Sapsis, Themistoklis P. Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title | Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title_full | Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title_fullStr | Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title_full_unstemmed | Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title_short | Closure Schemes for Nonlinear Bistable Systems Subjected to Correlated Noise: Applications to Energy Harvesting from Water Waves |
| title_sort | closure schemes for nonlinear bistable systems subjected to correlated noise applications to energy harvesting from water waves |
| url | http://hdl.handle.net/1721.1/109333 https://orcid.org/0000-0003-0302-0691 |
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