Smart Flat Membrane Sheet Vibration-Based Energy Harvesters

Document Type : Research Paper


Architecture and Urbanism Department, Tabriz Islamic Art University, Tabriz, Iran


The dynamic responses of membrane are completely dependent on Pre-tensioned forces which are applied over a boundary of arbitrary curvilinear shape. In most practical cases, the dynamic responses of membrane structures are undesirable. Whilst they can be designed as vibration-based energy harvesters. In this paper a smart flat membrane sheet (SFMS) model for vibration-based energy harvester is proposed. The SFMS is made of an orthotropic polyvinylidene fluoride (PVDF) flat layer that has piezoelectricity effect. For this aim, polarization vector of PVDF layer is considered parallel to the applied electric field intensity vector. Electrodynamics governing equations of transverse motion of SFMS including active and modified pre-tensioned force are exploited. Transverse displacement component is expanded by the separable form corresponding to the axial and transverse and the linear ODE of motion based on generalized shape coefficients is obtained using Galerkin method. Finally, the explicit relation between forced vibration of SFMS and current and voltage harvesting are obtained. Numerical energy harvesting analyses were developed for an orthotropic rectangle SFMS and the voltage as function of the time is calculated based on different resistances. Parametric simulation shows a 1 m length and 0.5 width SFMS has ability to produce a peak to peak voltage about of 30 mV.


[1] Leissa Arthur W., Qatu Mohamad S., 2011, Vibration of Continuous Systems, McGraw-Hill Education.
[2] Jenkins Christopher H.M., Korde Umesh A., 2006, Membrane vibration experiments: An historical review and recent results, Journal of Sound and Vibration 295: 602-613.
[3] Preumont A., 2006, Mechatronics Dynamics of Electromechanical and Piezoelectric Systems Materials, Springer, Printed in the Netherlands.
[4] Yipeng W., Badel A., Formosa F., Liu W., Agbossou A. E., 2012, Piezoelectric vibration energy harvesting by optimized synchronous electric charge extraction, Journal of Intelligent Material Systems 24(12): 1445-1458.
[5] Lezgy-Nazargah M., Divandar S.M., Vidal P., Polit O., 2017, Assessment of FGPM shunt damping for vibration reduction of laminated composite beams, Journal of Sound and Vibration 389: 101-118.
[6] Priya S., 2007, Advances in energy harvesting using low proļ¬le piezoelectric transducers, Journal of Electroceramics 19:165-182.
[7] Anton S.R., Sodano H.A., 2007, A review of power harvesting using piezoelectric materials (2003–2006), Smart Materials and Structures 16: R1–R21.
[8] Beeby S.P., Tudor M.J., White N.M., 2006, Energy harvesting vibration sources for microsystems applications, Measurement Science and Technology 17: R175–R195.
[9] Roundy S., Wright P.K., 2004, A piezoelectric vibration based generator for wireless electronics, Smart Materials and Structures 13: 1131-1142.
[10] Sodano H., Inman D.J., Park G., 2004, A review of power harvesting from vibration using piezoelectric materials, The Shock and Vibration Digest 36: 197-205.
[11] Erturk A., Inman D.J., 2008, Issues in mathematical modeling of piezoelectric energy harvesters, Smart Materials and Structures 17(6): 065016.
[12] Erturk A., Inman D.J., 2009, An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitation, Smart Materials and Structures 18(2): 025009.
[13] Priya S., Inman D.J., 2009, Energy Harvesting Technologies, Springer, New York.
[14] Goldschmidtboeing F., Woias P., 2008, Characterization of different beam shapes for piezoelectric energy harvesting, Journal of Micromechanics and Microengineering 18: 104013.
[15] Guyomar D., Badel A., Lefeuvre E., Richard C., 2005, Toward energy harvesting using active materials and conversion improvement by nonlinear processing, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 52(4): 584-595.
[16] Peng J., Chao C., Tang H., 2010, Piezoelectric micromachined ultrasonic transducer based on dome-shaped piezoelectric single layer, Microsystem Technologies 16: 1771-1775.
[17] Shahbazi Y., Chenaghlou M. R., Abedi K., Khosrowjerdi M. J., Preumont A., 2012, A new energy harvester using a cross-ply cylindrical membrane shell integrated with PVDF layers, Microsystem Technologies 18: 1981-1989.