In this paper, the effect of physical and geometrical parameters on the electromechanical coupling characteristics of a one-step cantilevered piezoelectric energy harvester is studied. The model equation governing the vibration of a piezoelectric vibrator is derived based on the Euler-Bernoulli beam assumption in the linear and elastic regime, and validated through comparison of theoretical results with experimental ones. Results reveal that impedance matching leads to the maximum mechanical to electrical energy transfer efficiency. And the impedance-matching efficiency increases with the electromechanical coupling coefficient given a constant air and structural damping. The coupling coefficient increases linearly with the squared material electromechanical coupling factor, and is affected significantly by the piezoelectrics-to-substructure modulus, length and thickness ratios, while the effect of piezoelectrics-to-substructure density ratio is relatively small. It is shown that the coupling coefficient increases with the modulus ratio increasing. And with the length and thickness ratios increasing, the coupling coefficient increases initially then decreases after it reaches the maxima. The optimal length ratio, at which the maxima is reached, varies between 0.6~0.7 among a wide span of materials. And the optimal thickness ratio greatly varies depending on the modulus and density ratios. It monotonically increases with the modulus ratio.
林政,张永良 . 材料和结构参数对悬壁梁式压电振子机电耦合性能的影响[J]. 振动与冲击, 2015, 34(17): 147-151.
Lin Zheng Zhang Yongliang . Effect of physical and geometrical parameters on the electromechanical coupling characteristics of a cantilevered piezoelectric vibrator. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(17): 147-151.
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