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| 基于Timoshenko梁原理的压电俘能器参数性能分析 |
| Parametric Performance Analysis of Piezoelectric Energy Traps Based on The Timoshenko Beam Principle |
| 投稿时间：2024-04-25 修订日期：2024-06-14 |
| DOI： |
| 中文关键词: 压电能量俘获器 力电耦合 尖端质块 Timoshenko梁原理 尺寸效应。 |
| 英文关键词: piezoelectric energy harvester electro-mechanical coupling proof mass Timoshenko beam principle size effect |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 本文以Timoshenko梁原理为基础，考虑悬臂梁在自由振动过程中，截面转动惯量和剪切变形对俘能器俘能效果的影响，建立压电双晶片悬臂梁式俘能器模型。分析了尖端质块质量、偏心距、外接电路负载电阻以及压电梁跨高比等参数对压电悬臂梁系统俘能性能的影响。结果表明：尖端质块质量和偏心距能有效减低压电梁的固有频率，调节质块质量能将压电俘能器的共振频率与环境中的低频激励相匹配，从而提高俘能效率。在跨高比小于12.5的压电梁中，两种理论计算的输出响应误差较大，Euler-Bernoulli梁模型严重高估了压电俘能器的响应幅值 |
| 英文摘要: |
| In this paper, based on the Timoshenko beam principle, the piezoelectric two-chip cantilever beam model is established by considering the effects of cross-sectional moment of inertia and shear deformation on the energy capture effect of a cantilever beam subjected to simple harmonic excitation. The effects of the proof mass, eccentricity, external circuit load resistance, and piezoelectric beam span-to-height ratio on the energy capture performance of the piezoelectric cantilever beam system are analyzed. The results show that the tip mass and eccentricity can effectively reduce the intrinsic frequency of the piezoelectric beam, and the adjustment of the mass can match the resonance frequency of the piezoelectric energy harvester with the low-frequency excitation in the environment, thus improving the capture efficiency. In piezoelectric beams with span-to-height ratios less than 12.5, the output responses calculated by the two theories have large errors, and the Euler-Bernoulli beam model seriously overestimates the response amplitude of the piezoelectric energy harvester. |
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