Abstract
In this paper, we investigate the problem of band gaps for flexural waves in a beam with periodically attached piezoelectric patches and internal hinges for the purpose of vibration energy harvesting. Based on Euler–Bernoulli beam theory, general solutions of the finite length periodic beam for two topological systems (beam with patches, beam with patches and internal hinges) are obtained using the transfer matrix method. By applying the Floquet theory, the explicit expressions are derived defining the band gap structure. The corresponding band gap dispersion curves are plotted. The innovation of this paper is the results concerning widening of the resonant bandwidth of a piezoelectric harvester based on phononic band gaps generated by internal hinges, not by patches.
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