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Electromechanical coupling model of variable-section piezoelectric composite beams in longitudinal vibration
International Journal of Mechanical Sciences ( IF 7.3 ) Pub Date : 2022-11-24 , DOI: 10.1016/j.ijmecsci.2022.107973
Liang Wang, Pengpeng Yu, Shiyu Zhang, Zhenhua Zhao, Jiamei Jin

The traditional step-reduction method is popular for modeling mechanical vibration of variable-section homogeneous beams (VHBs). However, this method cannot transfer electrical information and cannot depict electromechanical coupling behaviors of variable-section piezoelectric composite beams (VPCBs) in longitudinal vibration. To solve this defect, considering the structural continuity and parallel circuit factors, we propose the electromechanical step-reduction method for VPCBs. Longitudinal vibration transfer equations, linking input and output state vectors, are first created for VPCBs according to the proposed method. Then, a piezoelectric actuator excited by a VPCB is designed as a case study. Its transfer matrix model, involving mechanical and electrical properties, is developed to prove the correctness of the proposed method and the created transfer equations. Besides, an actuator prototype was manufactured for experimental verifications. The calculation results show that the longitudinal vibration frequency and velocity tend to be stable with the increase of the division number n. Their velocity vibration shapes are also consistent with each other. The calculated and experimental impedance curves have the same trend. The minimum and maximum impedance differences between the calculated and experimental are 107 ohm and 127 ohm, respectively. Finally, the modeling differences between the traditional and electromechanical step-reduction methods are compared and discussed in detail. The proposed method is more applicable to the modeling of VPCBs, which provides a theoretical tool for optimizing the excitation of the longitudinal vibration.



中文翻译:

纵向振动变截面压电复合梁机电耦合模型

传统的步进减少方法常用于模拟变截面均质梁 (VHB) 的机械振动。然而,该方法无法传递电气信息,也无法描述变截面压电复合梁 (VPCB) 在纵向振动中的机电耦合行为。为了解决这一缺陷,考虑到结构连续性和并联电路因素,我们提出了 VPCB 的机电降步方法。根据所提出的方法,首先为 VPCB 创建连接输入和输出状态向量的纵向振动传递方程。然后,设计了一个由 VPCB 激励的压电致动器作为案例研究。其传递矩阵模型,涉及机械和电学性质,被开发来证明所提出的方法和创建的传递方程的正确性。此外,制造了执行器原型用于实验验证。计算结果表明,纵向振动频率和速度随着划分数的增加趋于稳定名词_ 它们的速度振型也相互一致。计算的和实验的阻抗曲线具有相同的趋势。计算值和实验值之间的最小和最大阻抗差异分别为 107 欧姆和 127 欧姆。最后,对传统和机电降步方法之间的建模差异进行了详细比较和讨论。所提出的方法更适用于VPCBs的建模,为优化纵向振动的激励提供了理论工具。

更新日期:2022-11-24
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