Abstract

Cantilever based piezoelectric energy harvesters (PEHs) have been optimized in terms of shape, size, material properties and damping to improve their electrical outputs. In most of the PEHs, a cantilever beam with width of rectangular, triangular and trapezoidal shapes, respectively, have been analyzed in optimizing the power output. In this paper, we investigate the influence of non-uniform beams with linearly and quartic varying widths. To analyze the model, we first modify the electromechanical formulation of uni-morph piezoelectric cantilever beam with uniform section to include the non-uniform variation of beam width. Subsequently, we obtain the voltage, current and the power output versus frequencies at different external loads for uniform and non-uniform beams with varying tapering parameters. Based on the analysis, we found that the diverging beam with tapering parameter of 0.6 can produce an enhanced power output by 3833% as compared to that of uniform beam. Since, the frequency also changes due to change in the tapering parameter of non-uniform beam, such significant changes in the output are also demonstrated for designing a wide band PEH based on an array of uniform and non-uniform beams. Finally, we also performed numerical study of PEHs of unimorph as well as coupled beams with uniform and non-uniform sections.

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