On Mechanical Modeling of Cantilevered Piezoelectric Vibration Energy Harvesters

• DOI: 10.1177/1045389x07085639
• Publication Date: 2008-04-22T00:25:22Z
• Authors: A. Erturk; D.J. Inman
• Keywords: Harmonic

Cantilevered beams with piezoceramic (PZT) layers are the most commonly investigated type of vibration energy harvesters. A frequently used modeling approach is single-degree-of-freedom (SDOF) harvester beam as it allows simple expressions for electrical outputs. In literature, since base excitation on assumed to be harmonic, well known SDOF relation employed mathematical modeling. this study, shown that accepted harmonic may yield highly inaccurate results predicting motion cantilevered and bars. First, response a Euler—Bernoulli general given in terms translation small rotation reviewed where more sophisticated damping models considered. Then, error model correction factors derived improving both transverse longitudinal vibrations. The formal way treating components mechanical also discussed. After deriving outputs PZT open-circuit conditions, relevance mode shapes electrode locations issue strain nodes addressed.