Articles | Volume 14, issue 2
https://doi.org/10.5194/jsss-14-153-2025
Special issue:
https://doi.org/10.5194/jsss-14-153-2025
Regular research article
 | 
06 Aug 2025
Regular research article |  | 06 Aug 2025

The optimal planform of a cantilever unimorph piezoelectric vibrating energy harvester (PVEH) with a device-layer edge block

Eliya Salman, Sahar Lustig, and David Elata

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Cited articles

Ben Ayed, S., Najar, F., and Abdelkefi, A.: Shape improvement for piezoelectric energy harvesting applications, in: 3rd International Conference on Signals, Circuits and Systems, SCS 2009, 1–6, https://doi.org/10.1109/ICSCS.2009.5412553, 2009. 
Ben Ayed, S., Abdelkefi, A., Najar, F., and Hajj, M. R.: Design and performance of variable-shaped piezoelectric energy harvesters, J. Intel. Mat. Syst. Str., 25, 174–186, https://doi.org/10.1177/1045389X13489365, 2014. 
Baker, J., Roundy, S., and Wright, P.: Alternative geometries for increasing power density in vibration energy scavenging for wireless sensor networks, in: 3rd International Energy Conversion Engineering Conference, 15–18 August 2005, San Francisco, California, USA, 959–970, https://doi.org/10.2514/6.2005-5617, 2005. 
Benasciutti, D., Moro, L., Zelenika, S., and Brusa, E.: Vibration energy scavenging via piezoelectric bimorphs of optimized shapes, Microsyst. Technol., 16, 657–668, https://doi.org/10.1007/s00542-009-1000-5, 2010. 
Chen, Z. S., Yang, Y. M., and Deng, G. Q.: Analytical and experimental study on vibration energy harvesting behaviors of piezoelectric cantilevers with different geometries, in: 1st International Conference on Sustainable Power Generation and Supply, 6–7 April 2009, Nanjing, China, 1–6, https://doi.org/10.1109/SUPERGEN.2009.5348290, 2009. 
Short summary
In this study, we consider the planform of a cantilever piezoelectric vibrating energy harvester (PVEH) device in which the inertia of the cantilever itself is dominant relative to the inertia of an edge block. We derive the optimal planform which ensures the harvested energy is maximal. We show that the contours of the optimal planform are defined by Bessel functions. The predictive capabilities of our model are demonstrated by comparison to finite-element simulations.
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