基于Hamilton原理的压电悬臂梁模型建立与分析
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国家自然科学基金资助项目(51277088)

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Modeling and Analysis of Piezoelectric Cantilever Beams Based on Hamilton Principle
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    摘要:

    根据哈密顿(Hamilton)原理建立了压电悬臂梁(压电梁)能量转换模型,利用数值模拟和实验测试的方法研究了压电梁在固定端受到位移激励时结构尺寸、材料特性和激振频率等对其发电能力的影响规律。研究表明,当基板材料相同时,单、双晶压电梁均存在最佳厚度比(基板/总厚)使其输出电能最多;当基板材料不同时,最佳厚度比随杨氏模量比(基板/陶瓷)增加而减小,铜、钼基板构成的单、双晶压电梁的最佳厚度比分别为(0.7,0.35) 和(0.45, 0.2);当厚度比(0.5)和激励条件相同时,杨氏模量比对单、双晶压电梁发电能力影响不同;调整单、双晶压电梁自由端质量块使其工作在谐振状态,可显著提高压电梁的发电能力。

    Abstract:

    The energy conversion model of the piezoelectric cantilever beam (piezoelectric beam) under displacement excitation in the fixed end was established according to Hamilton principle to study the influence of structural parameters, material properties as well as excitation frequency of the piezoelectric beam on energy generation by using the method of numerical simulation and experimental testing. The research results showed that there were optimal thickness ratios (OTRs) respectively for the piezoelectric monomorph cantilever beam generator and piezoelectric bimorph cantilever beam generator to obtain maximal electrical energy in the same metal plate materials. With the increasing of the Young’s modulus ratio, the OTRs of the two generators decreased in different metal plate materials. When copper and molybdenum plates were used as the substrates, the monomorph and the bimorph cantilever beams achieved the OTRs of (0.7, 0.35) and (0.45, 0.2), respectively. In the same thickness ratio (0.5) and external excitation condition, the Young's modulus showed different influences on energy generation of the two generators. By adjusting the quality of the mass of both monomorph and the bimorph cantilever beams at the free end of the piezoelectric beams, the power generation capacity of the piezoelectric beams could be significantly increased.

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闫世伟,杨建文,杨志刚.基于Hamilton原理的压电悬臂梁模型建立与分析[J].压电与声光,2014,36(5):753-756. YAN Shiwei, YANG Jianwen, YANG Zhigang. Modeling and Analysis of Piezoelectric Cantilever Beams Based on Hamilton Principle[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2014-09-25
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