Vibration Modeling of Arc-Based Cantilevers for Energy Harvesting Applications

Daniel J. Apo, Mohan Sanghadasa, Shashank Priya

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Cantilever beams are widely used for designing transducers for low-frequency vibration energy harvesting. However, in order to keep the dimensions within reasonable constraints, a large tip mass is generally required for reducing the resonance frequency below 100 Hz which has adverse effect on the reliability. This study provides a breakthrough toward realizing low-frequency micro-scale transduction structures. An analytical out-of-plane vibration model for standalone arc-based cantilever beams was developed that includes provisions for shear and rotary inertia, multidirectional arcs, and multiple layers. The model was applied to a multilayered cantilever beam (10-mm wide and 0.1-mm thick) composed of three arcs, and the results indicate that the fundamental bending mode of the beam was 38 Hz for a silicon substrate thickness of 100 μm. The model was validated with modal experimental results from an arc-based cantilever made out of aluminum.

Original languageEnglish (US)
Pages (from-to)57-68
Number of pages12
JournalEnergy Harvesting and Systems
Issue number1-2
StatePublished - 2014
Externally publishedYes

Bibliographical note

Funding Information:
The authors acknowledge the financial support from the National Science Foundation (NSF) through the INAMM program (S.P.) and through the ARMDEC (D.A.).

Publisher Copyright:
© 2014 by De Gruyter 2014.


  • circular arcs
  • energy harvesting
  • MEMS
  • microdevice
  • multilayer


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