Energy harvesting from a multifrequency response of a tuned bending-torsion system

  • Abdelkefi A
  • Nayfeh A
  • Hajj M
 et al. 
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Abstract

We investigate the benefits of tuning the frequencies of an energy harvester to extract more energy
from a base excitation that comprises three frequency components. The energy harvester is composed
of a unimorph cantilever beam with asymmetric tip masses. By adjusting the asymmetry of the tip
masses, we can tune this beam–mass structure to harvest energy from multifrequency components of a
base excitation. We model the beam using the Euler–Bernoulli beam theory and use the first three
global mode shapes of the harvester in a Galerkin procedure to derive a reduced-order model
describing its response. We derive an exact analytical solution for the tip deflection, twisting
angle, voltage output, and harvested electrical power. Using this solution, we investigate the
advantages of harvesting energy from a response that contains multifrequencies in comparison to a
response that contains a single frequency by tuning only the fundamental frequency. The advantages
of this bending–torsion energy harvester and the effect of its tuning are investigated for different
short- and open-circuit configurations. The results show that, through a proper tuning of this
bending–torsion harvester, the harvested power can be increased significantly and it can be made to
cover a wide range of electrical load resistances.

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