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- W2321466742 abstract "Recent developments in electronics have reduced the power requirement of small electronic components and motivated the research for operating such devices by using the vibration energy available in their ambient. Among the alternatives for vibration-to-electric energy conversion, piezoelectric materials have received the highest attention in the last five years. Several authors have considered a cantilevered beam with one or two piezoceramic layers connected to a resistive electrical load as a piezoelectric energy harvester model. The early mathematical modeling attempts appeared in the literature so far range from elementary single-degree-of-freedom models to approximate distributed parameter models in the sense of Rayleigh-Ritz discretization. In addition, there have been some distributed parameter modeling approaches which ignore modal summation or oversimplify backward coupling in the mechanical domain and some misleading modeling attempts due to weak mathematical assumptions. In this paper, we present analytical solutions for coupled electrical and mechanical response of cantilevered piezoelectric energy harvesters under transverse and longitudinal vibrations due to harmonic base excitation. First, closed-form expressions of voltage response and mechanical response are derived for unimorph and bimorph harvester beam configurations under transverse vibrations (due to translation of the base with superimposed small rotation). The derivation is then extended to cantilevered harvester bars in longitudinal vibrations. After deriving closed-form voltage and mechanical response expressions for harmonic base excitations at arbitrary frequencies, the relations are reduced to single-mode expressions for excitations around the modal (natural) frequencies. The analytical derivation is also used for handling of non-harmonic base acceleration inputs by combining the analytical voltage – to – base acceleration frequency response functions with the Fourier series representation of non-harmonic base acceleration histories. Theoretical demonstrations and experimental verifications are also presented." @default.
- W2321466742 created "2016-06-24" @default.
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- W2321466742 date "2008-04-07" @default.
- W2321466742 modified "2023-09-28" @default.
- W2321466742 title "Analytical Modeling of Cantilevered Piezoelectric Energy Harvester for Transverse and Longitudinal Base Motions" @default.
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- W2321466742 doi "https://doi.org/10.2514/6.2008-2202" @default.
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