Lee Young-Sup, Gardonio Paolo, Elliott Stephen J
Institute of Sound and Vibration Research, University of Southampton, England.
J Acoust Soc Am. 2002 Jun;111(6):2715-26. doi: 10.1121/1.1476921.
This paper presents a theoretical and experimental study of the in-plane and out-of-plane coupling of a matched piezoelectric sensor/actuator pair bonded on a beam. Both the sensor and actuator are triangularly shaped polyvinylidene fluoride (PVDF) transducers and are intended to provide a compact sensor/actuator system for beam vibration control. The measured sensor-actuator frequency response function has shown an unpredicted increase in magnitude with frequency, which was found, to be due to in-plane vibration coupling. An analytical model has been developed to decompose the sensor-actuator response function into an in-plane contribution and an out-of-plane contribution. This in-plane coupling can limit the feedback control gains when a direct velocity feedback control is applied. A method called the j omega s compensation method is proposed to identify the effect of the in-plane vibration coupling at low frequencies. Even after this compensation, however, there was unexpected strong out-of-plane coupling at even modes, which may have been caused by a lack of accuracy in the shaping of the PVDF sensor and actuator. Numerical simulations have confirmed the sensitivity of the matched sensor/actuator pair with shaping errors.
本文对粘结在梁上的匹配压电传感器/致动器对的面内和面外耦合进行了理论和实验研究。传感器和致动器均为三角形聚偏二氟乙烯（PVDF）换能器，旨在提供一种用于梁振动控制的紧凑型传感器/致动器系统。测量得到的传感器 - 致动器频率响应函数显示，其幅值随频率出现了意外的增加，结果发现这是由于面内振动耦合所致。已开发出一种分析模型，用于将传感器 - 致动器响应函数分解为面内贡献和面外贡献。当应用直接速度反馈控制时，这种面内耦合会限制反馈控制增益。提出了一种称为jωs补偿法的方法，以识别低频下的面内振动耦合效应。然而，即使经过这种补偿，偶数模态下仍存在意外的强面外耦合，这可能是由于PVDF传感器和致动器的形状精度不足所致。数值模拟证实了匹配的传感器/致动器对形状误差的敏感性。
