Theoretical study of piezoelectric bimorph beams with two input base-motion for power harvesting

  • Mikail F. Lumentut
  • Ian M. Howard
Conference paper


This paper presents a dynamic model of a piezoelectric bimorph beam with a tip mass for low level power harvesting. The piezoelectric bimorph beam is modelled as an Euler-Bernoulli beam with two input transversal and longitudinal base excitations. The strain field due to the longitudinal base input excitation can affect the piezoelectric response parameters although the transverse bending field has most often been considered in the use of the cantilevered piezoelectric bimorph in stimulating polarity and electric field for the energy harvester. The piezoelectric bimorph beam with centre brass shim can be analysed using series and parallel connections depending on the piezoelectric coupling and electric field parameters. The extracted power from the piezoelectric bimorph beam can be used for the powering of electronic storage devices, electronic media and wireless sensors. In this paper, we propose analytical methods for developing constitutive energy field differential equations using virtual work concepts (Weak form) from the interlayer elements of the piezoelectric bimorph beam. Analytical solutions of the constitutive dynamic equations from longitudinal extension, transverse bending and electrostatic fields are solved using Laplace transforms to obtain transfer functions between their relationships.


Load Resistance Frequency Response Function Proof Mass Piezoelectric Element Piezoelectric Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Mikail F. Lumentut
    • 1
  • Ian M. Howard
    • 1
  1. 1.Theoretical Mechanics, Department of Mechanical EngineeringCurtin University of TechnologyBentley, PerthAustralia

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