| 唐礼平,何炜.基于Timoshenko梁原理的压电俘能器参数性能分析[J].安徽建筑大学学报,2025,33(1):20-27 |
| 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 |
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| 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:安徽省自然科学基金面上项目（2108085MA28） |
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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 bimorph energy harvester is established,taking into account the influence of cross-sectional moment of inertia and shear deformation on piezoelectric energy harvester duringfree vibration of the cantilever beam. The effects of the proof mass, eccentricity, the external circuit load resistance, and the piezoelectric beamspan-to-height ratio on the energy capture performance of the piezoelectric cantilever beam system are analyzed. The result shows thatthe tip mass and the eccentricity can effectively reduce the intrinsic frequency of the piezoelectric beam. Adjusting the mass allows theresonance frequency of the piezoelectric energy harvester to match low-frequency environmental motivation, thereby improving energyharvesting efficiency. In piezoelectric beams with span-to-height ratios less than 12.5, the output responses calculated by thetwo theories have large errors, and the Euler-Bernoulli beam model seriously overestimates the response amplitude of the piezoelectricenergy harvester. |
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