Performance measures for single-degree-of-freedom energy harvesters under stochastic excitation
Author(s)
Joo, Han Kyul
Sapsis, Themistoklis P.
Date Issued
May 2014
Journal
Journal of Sound and Vibration
Publisher
Elsevier
Citation
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
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JSV.2014.05.003
