Abstract
In the present work, a cantilever beam based piezoelectric energy harvester is investigated both theoretically and experimentally. The harvester is consists of a harmonically base excited vertical cantilever beam with a piezoelectric patch at the fixed end and a mass attached at an arbitrary position. The Euler-Bernoulli beam theory is applied considering the cantilever beam to be slender. The temporal nonlinear electromechanical governing equation of motion is obtained by using generalized Galerkin’s method considering two-mode approximation. Here for principal parametric resonance condition the steady state response of the voltage is obtained by using the method of multiple scales. The results are validated by developing an experimental setup of the harvester. For the harvester having a dimension of 295 mm×24 mm×7.6 mm, a maximum voltage of 40 V is obtained for a base motion of 9 mm with a frequency of 10.07 Hz when 15 gm mass is attached at a distance of 140 mm from the fixed end.
Highlights
Development in smart devices used for sensing, human and structural health monitoring and actuation requires low power to operate
Method of multiple scales (MMS) is used to meet this end which describe the dynamics of the nonlinear system
A parametrically excited harvesting system consists of a cantilever beam with piezoelectric patch and attached mass is analysed
Summary
Development in smart devices used for sensing, human and structural health monitoring and actuation requires low power to operate. To overcome this drawback researchers are exploring other nontraditional means to power these devices by extracting untapped ambient energy from sources such as light, wind, temperature and potential gradient, noise, sound and vibration etc This energy can be transformed by three basic transduction mechanisms namely electromagnetic, electrostatic and piezoelectric. Linear vibration based piezoelectric energy harvester systems work over a short range of bandwidth near the resonance frequency. Energy transduction reduces sharply for mistuned (away from resonance) linear harvesting systems. To address this issue researchers are focusing on tapping the rich dynamics which is outcome of inherent or induced nonlinearity. In house experimental setup is developed in order to verify the results obtained analytically
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