变负载压电悬臂梁共振频移量研究
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上海市自然科学基金资助项目(14ZR1418600);国家自然科学基金资助项目(51175320,51675324)

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Investigation on Resonance Frequency Shift of Cantilevered Piezoelectric Beams With Variable Load Resistances
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    摘要:

    基于EulerBernoulli梁原理研究了铝基双晶串联压电悬臂梁电压频响和短路开路共振频移量问题。以悬臂梁总厚度和压电陶瓷厚度为影响参数,首先推导了输出电压的单/多模态解,再以单模态解为基础,分析了不同厚度压电悬臂梁短路开路共振频移量。研究结果表明,与多模态解相比,单模态解的估计性良好,且计算简便。在任意变负载区间内,存在最劣压电陶瓷厚度,使短路开路共振频移量最大。因此,在进行压电悬臂梁结构设计时,应尽量避开最劣点,使外部负载具有最佳适应性,提高能量回收效率。

    Abstract:

    Based on EulerBernoulli beam theory, the voltage response of the cantilevered piezoelectric beam for bimorphs in series connection with aluminum substrates and the resonance frequency shift of shortopen circuit are investigated in this paper. By using the total thickness of the cantilevered beam and the thickness of piezoelectric ceramics are chosen as the influencing parameters,the single/multimode solutions of the output voltage are derived firstly, then the shortopen circuit resonance frequency shift under different thickness of the cantilevered piezoelectric beams is analyzed on the basis of the singlemode solutions. The results exhibit that the singlemode solutions are of good estimation and simple calculating comparing with the more accurate multimode solutions; in the arbitrary range of variable load resistance, there exists the worst point of the thickness of piezoelectric ceramics, which leads to maximum resonance frequency shift. Accordingly, the worst point should be avoided for optimum adaptability and more desirable efficiency of energy harvesting when the cantilevered piezoelectric beam is designed.

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李佳杰, 郭辉, 王岩松, 闫旭.变负载压电悬臂梁共振频移量研究[J].压电与声光,2017,39(2):308-311. LI Jiajie, GUO Hui, WANG Yansong, YAN Xu. Investigation on Resonance Frequency Shift of Cantilevered Piezoelectric Beams With Variable Load Resistances[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2017-04-01
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