Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation
We develop performance criteria for the objective comparison of different classes of single-degree-of-freedom oscillators under stochastic excitation. For each family of oscillators, these objective criteria take into account the maximum possible energy harvested for a given response level, which is...
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| Format: | Article |
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Elsevier
2019
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| Online Access: | http://hdl.handle.net/1721.1/119841 https://orcid.org/0000-0003-0302-0691 |
| _version_ | 1826199443786956800 |
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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 | We develop performance criteria for the objective comparison of different classes of single-degree-of-freedom oscillators under stochastic excitation. For each family of oscillators, these objective criteria take into account the maximum possible energy harvested for a given response level, which is a quantity that is directly connected to the size of the harvesting configuration. We prove that the derived criteria are invariant with respect to magnitude or temporal rescaling of the input spectrum and they depend only on the relative distribution of energy across different harmonics of the excitation. We then compare three different classes of linear and nonlinear oscillators and using stochastic analysis methods we illustrate that in all cases of excitation spectra (monochromatic, broadband, white-noise) the optimal performance of all designs cannot exceed the performance of the linear design. Subsequently, we study the robustness of this optimal performance to small perturbations of the input spectrum and illustrate the advantages of nonlinear designs relative to linear ones. |
| first_indexed | 2024-09-23T11:20:00Z |
| format | Article |
| id | mit-1721.1/119841 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:20:00Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/1198412022-10-01T02:54:21Z Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation Joo, Han Kyul Sapsis, Themistoklis P. Massachusetts Institute of Technology. Department of Mechanical Engineering Joo, Han Kyul Sapsis, Themistoklis P. We develop performance criteria for the objective comparison of different classes of single-degree-of-freedom oscillators under stochastic excitation. For each family of oscillators, these objective criteria take into account the maximum possible energy harvested for a given response level, which is a quantity that is directly connected to the size of the harvesting configuration. We prove that the derived criteria are invariant with respect to magnitude or temporal rescaling of the input spectrum and they depend only on the relative distribution of energy across different harmonics of the excitation. We then compare three different classes of linear and nonlinear oscillators and using stochastic analysis methods we illustrate that in all cases of excitation spectra (monochromatic, broadband, white-noise) the optimal performance of all designs cannot exceed the performance of the linear design. Subsequently, we study the robustness of this optimal performance to small perturbations of the input spectrum and illustrate the advantages of nonlinear designs relative to linear ones. 2019-01-02T20:21:24Z 2019-01-02T20:21:24Z 2014-05 2014-04 2018-12-18T13:52:57Z Article http://purl.org/eprint/type/JournalArticle 0022-460X 1095-8568 http://hdl.handle.net/1721.1/119841 Joo, Han Kyul and Themistoklis P. Sapsis. “Performance Measures for Single-Degree-of-Freedom Energy Harvesters Under Stochastic Excitation.” Journal of Sound and Vibration 333, 19 (September 2014): 4695–4710 © 2014 Elsevier Ltd https://orcid.org/0000-0003-0302-0691 http://dx.doi.org/10.1016/J.JSV.2014.05.003 Journal of Sound and Vibration Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier MIT web domain |
| spellingShingle | Joo, Han Kyul Sapsis, Themistoklis P. Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title | Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title_full | Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title_fullStr | Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title_full_unstemmed | Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title_short | Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation |
| title_sort | performance measures for single degree of freedom energy harvesters under stochastic excitation |
| url | http://hdl.handle.net/1721.1/119841 https://orcid.org/0000-0003-0302-0691 |
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