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首页> 外文会议>Conference on Active and passive smart structures and integrated systems; 20090309-12; San Diego, CA(US) >Averaging Models for Linear Piezostructural Systems
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Averaging Models for Linear Piezostructural Systems

机译：线性压电结构系统的平均模型

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摘要

In this paper, we consider a linear piezoelectric structure which employs a fast-switched, capacitively shunted subsystem to yield a tunable vibration absorber or energy harvester. The dynamics of the system is modeled as a hybrid system, where the switching law is considered as a control input and the ambient vibration is regarded as an external disturbance. It is shown that under mild assumptions of existence and uniqueness of the solution of this hybrid system, averaging theory can be applied, provided that the original system dynamics is periodic. The resulting averaged system is controlled by the duty cycle of a driven pulse-width modulated signal. The response of the averaged system approximates the performance of the original fast-switched linear piezoelectric system. It is analytically shown that the averaging approximation can be used to predict the electromechanically coupled system modal response as a function of the duty cycle of the input switching signal. This prediction is experimentally validated for the system consisting of a piezoelectric bimorph connected to an electromagnetic exciter. Experimental results show that the analytical predictions are observed in practice over a fixed "effective range" of switching frequencies. The same experiments show that the response of the switched system is insensitive to an increase in switching frequency above the effective frequency range.
机译：在本文中，我们考虑了一种线性压电结构，该结构采用快速切换的电容分流子系统来产生可调谐的振动吸收器或能量收集器。系统的动力学建模为混合系统，其中开关定律被视为控制输入，环境振动被视为外部干扰。结果表明，在混合系统解存在性和唯一性的温和假设下，如果原始系统动力学是周期性的，则可以应用平均理论。所得的平均系统由驱动的脉宽调制信号的占空比控制。平均系统的响应近似于原始快速切换线性压电系统的性能。从分析上可以看出，平均逼近可以用来预测机电耦合系统的模态响应，它是输入开关信号占空比的函数。对于由连接到电磁激励器的压电双压电晶片组成的系统，该预测在实验上得到了验证。实验结果表明，实际上在固定的“有效范围”开关频率上观察到了分析预测。同样的实验表明，开关系统的响应对高于有效频率范围的开关频率的增加不敏感。

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