On Mechanical Modeling of Cantilevered Piezoelectric Vibration Energy Harvesters

被引:524
作者
Erturk, A. [1 ]
Inman, D. J. [2 ]
机构
[1] Virginia Tech, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
[2] Virginia Tech, Ctr Intelligent Mat Syst & Struct, Dept Mech Engn, Blacksburg, VA 24061 USA
关键词
energy harvesting; mechanical modeling; base excitation; damping; strain nodes;
D O I
10.1177/1045389X07085639
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Cantilevered beams with piezoceramic (PZT) layers are the most commonly investigated type of vibration energy harvesters. A frequently used modeling approach is the single-degree-of-freedom (SDOF) modeling of the harvester beam as it allows simple expressions for the electrical outputs. In the literature, since the base excitation on the harvester beam is assumed to be harmonic, the well known SDOF relation is employed for mathematical modeling. In this study, it is shown that the commonly accepted SDOF harmonic base excitation relation may yield highly inaccurate results for predicting the motion of cantilevered beams and bars. First, the response of a cantilevered Euler-Bernoulli beam to general base excitation given in terms of translation and small rotation is reviewed where more sophisticated damping models are considered. Then, the error in the SDOF model is shown and correction factors are derived for improving the SDOF harmonic base excitation model both for transverse and longitudinal vibrations. The formal way of treating the components of mechanical damping is also discussed. After deriving simple expressions for the electrical outputs of the PZT in open-circuit conditions, relevance of the electrical outputs to vibration mode shapes and the electrode locations is investigated and the issue of strain nodes is addressed.
引用
收藏
页码:1311 / 1325
页数:15
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