压电曲梁俘能器的机电耦合方程及其研究
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国家自然科学基金资助项目( 51575457)

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Study on the Electromechanical Coupling Equations of Piezoelectric Curved Beam Harvester
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    摘要:

    使用哈密顿原理,建立了纯弯曲压电曲梁俘能器的机电耦合偏微分方程,对悬臂边界条件下的压电曲梁俘能器进行了模态分析,得到了俘能器在基础两向振动激励下的模态坐标方程;求解了俘能器在激励下电压与模态响应的稳定解。数值计算实例分析了激励频率、负载电阻对俘能器的电压及功率响应的影响。结果表明,曲梁俘能器与直梁俘能器的电压、功率响应规律具有相似之处,负载电阻不仅对曲梁俘能器的输出功率、输出电压有影响,也会影响其共振频率。

    Abstract:

    The electromechanical coupling equations of piezoelectric curved beam harvester under pure bending deformation are established by using Hamilton's principle in this paper.The modal analysis of the piezoelectric curved beam harvester under the cantilever boundary conditions is carried out, and the modal coordinate equations of the energy harvester excited by the basic twodirection vibration are obtained.The stable solutions of the voltage and modal response of the energy harvester under excitation are solved.The influences of the vibration frequency of the base and the load resistance on the output voltage and power of the harvester are demonstrated by the numerical examples.The results show that the voltage and power response of the curved beam harvester have similarities with that of the straight beam harvester,and the load resistance not only affects the output voltage and output power of the curved beam harvester,but also the resonant frequency.

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丁维高,谢进.压电曲梁俘能器的机电耦合方程及其研究[J].压电与声光,2018,40(5):684-689. DING Weigao, XIE Jin. Study on the Electromechanical Coupling Equations of Piezoelectric Curved Beam Harvester[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2018-10-16
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