含金属芯压电纤维的纵向振动研究

边义祥;裘进浩;王鑫伟

振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 111-115.

PDF(1073 KB)
PDF(1073 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 111-115.
论文

含金属芯压电纤维的纵向振动研究

  • 边义祥1;裘进浩2;王鑫伟2
作者信息 +

Modeling the longitudinal vibration of metal core piezoelectric fiber

  • Bian Yixiang1;Qiu Jinhao2;Wang Xinwei 2
Author information +
文章历史 +

摘要

建立了悬臂杆结构含金属性芯电纤维的纵向振动模型和动态测试模型。基于第一类压电方程,推导了外加简谐激励电压时,悬臂杆结构含金属芯压电纤维的等效纵向外力;基于纵向振动理论,推导出纵向振动模型;并由电位移,得到表面电荷、电流、导纳,建立了动态测试模型,通过测量共振频率fr、反共振频fa率和低频电容,计算出压电纤维的几个主要参数:弹性柔顺系数 、机电耦合系数 、介电常数 和压电常数 。详细叙述了纵向振动模型和动态测试模型的建立过程,并给出了具体的测试方法,提供了一个实际试样的测试结果。测试结果表明,根据纵向振动模型所建立的动态测试方法可以快速、准确地测量含金属芯压电纤维的主要参数。



Abstract

The metal core piezoelectric fiber (MPF) is one of the new type piezoelectric devices for sensors and actuators. When an external harmonically varying voltage is applied on the electrodes of a cantilevered MPF, it will cause longitudinal vibration. The equal external force can be driven from the strain in the piezoelectric elements that caused by the electric field. Using the vibration theory of a cantilevered bar, the longitudinal vibration equations can be given for the MPF as a cantilevered bar. The electric displacement can be derived by the constitutive equations for the piezoelectric element. And the electric charges on the electrodes can be driven by integrated over the surface of electric displacement. The total current flowing into the electrode surface and the admittance of the MPF can be derived from the electric charge. Using the resonance frequency, the elastic coefficient at a constant electric field can be driven from the admittance. And using the antiresonance frequency, one can get the electromechanical coupling factor . The dielectric permittivity at a constant stress can be extracted by the lower capacitance. Using above parameters, the piezoelectric coefficients can be calculated. One experiment was performed. The theoretical simulations and experimental results show that this method is accurate and available to measure the properties of MPF.

关键词

金属芯 / 压电纤维 / 纵向振动 / 动态测试

Key words

Metal core / Piezoelectric fiber / Vibration / dynamic testing model

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导出引用
边义祥;裘进浩;王鑫伟. 含金属芯压电纤维的纵向振动研究[J]. 振动与冲击, 2011, 30(1): 111-115
Bian Yixiang;Qiu Jinhao;Wang Xinwei . Modeling the longitudinal vibration of metal core piezoelectric fiber[J]. Journal of Vibration and Shock, 2011, 30(1): 111-115

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