The European Physical Journal Special Topics

, Volume 224, Issue 14–15, pp 2771–2785 | Cite as

Energy harvesting of cantilever beam system with linear and nonlinear piezoelectric model

  • Marek BorowiecEmail author
Open Access
Regular Article Piezoelectric Energy Harvesting
Part of the following topical collections:
  1. Nonlinear and Multiscale Dynamics of Smart Materials in Energy Harvesting


The nonlinear beam with vertical combined excitations is proposed as an energy harvester. The nonlinearities are included both, in the beam model and also in the electrical subsystem. The system is modelled as a cantilever beam with included a tip mass and piezoelectric patches which convert the bending strains induced by both, the harmonic and the additive stochastic forces. The excitation affects in vertical directions by kinematic forcing into electrical charge. The first main goal is to analyse the dynamics of the electro-mechanical beam system and the influence of the mixed excitation forces into an effectiveness of the energy harvesting. Overcoming the potential barrier by the beam system is also analysed, where large output amplitudes occur. Such region of the vibration affects more power generation, which is crucial in terms of load resistors sensitivities. By increasing the additive noise level with fixed harmonic force it is observed the transition from single well oscillations to inter-well stochastic jumps. The second mail goal is analysing the influence of the piezoelectric nonlinear characteristic and compare the results to the linear piezoelectric cases. The output power is measured during different system behaviours provided by different piezoelectric characteristic as well as introduced stochastic components by modulated tip mass of the system.


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Copyright information

© EDP Sciences, Springer-Verlag 2015

Authors and Affiliations

  1. 1.Lublin University of TechnologyLublinPoland

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