What is the mathematical formulation of the analytical model for a rectangular cantilever piezoelectric energy harvester?
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The mathematical formulation of the analytical model for a rectangular cantilever piezoelectric energy harvester is derived using the Euler-Bernoulli method and the two-way coupled analysis method. The Euler-Bernoulli method is used to numerically model the cantilever beam and determine the optimal position of the piezoelectric transducer along the beam . The two-way coupled analysis method combines numerical software with a circuit simulator to simulate the performance of the harvester with the switch circuit . The electromechanical equation required for the miniature harvester is derived using the harmonic balance method . The governing equation coupling the piezoelectric vibration energy harvester with the self-powered synchronized switch circuit is simplified, taking the form of a quartic equation with respect to the displacement . The analytical model allows for the consideration of thin, moderately thick, and thick piezoelectric bimorph plate vibration harvesters, and closed-form steady-state response expressions are derived to relate the voltage output and vibration response of the harvester to harmonic input force .
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09 Aug 2022 | The mathematical formulation of the analytical model for a rectangular cantilever piezoelectric energy harvester is not provided in the paper. |
3 Citations | The mathematical formulation of the analytical model for a rectangular cantilever piezoelectric energy harvester is not provided in the paper. |
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03 Mar 2023 | The mathematical formulation of the analytical model for a rectangular cantilever piezoelectric energy harvester is not provided in the paper. |
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