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Active control of acoustic radiation from laminated cylindrical shells integrated with a piezoelectric layer

机译:主动控制集成压电层的圆柱形圆柱壳的声辐射

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摘要

Active control of sound radiation from piezoelectric laminated cylindrical shells is theoretically investigated in the wavenumber domain. The governing equations of the smart cylindrical shells are derived by using first-order shear deformation theory. The smart layer is divided into lots of actuator patches, each of which is coated with two very thin electrodes at its inner and outer surfaces. Proportional derivative negative feedback control is applied to the actuator patches and the stiffness of the controlled layer is derived in the wavenumber domain. The equivalent driving forces and moments generated by the piezoelectric layer can produce distinct sound radiation. Large actuator patches cause strong wavenumber conversion and fluctuation of the far-field sound pressure, and do not make any contribution to sound reduction. Nevertheless, suitable small actuator patches induce weak wavenumber conversion and play an important role in the suppression of vibration and acoustic power. The derivative gain of the active control can effectively suppress sound radiation from smart cylindrical shells. The effects of small proportional gain on the sound field can be neglected, but large proportional gain has a great impact on the acoustic radiation of cylindrical shells. The influence of different piezoelectric materials on the acoustic power is described in the numerical results.
机译:理论上在波数域中研究了压电叠层圆柱壳的声辐射的主动控制。利用一阶剪切变形理论推导了智能圆柱壳的控制方程。智能层分为许多促动器贴片,每个促动器贴片的内表面和外表面都涂有两个非常薄的电极。将比例微分负反馈控制应用于执行器片,并在波数域中得出受控层的刚度。压电层产生的等效驱动力和力矩会产生不同的声音辐射。较大的促动器贴片会引起很强的波数转换和远场声压的波动,并且对降低声音没有任何作用。然而,合适的小型致动器贴片会引起微弱的波数转换,并在抑制振动和声功率方面起重要作用。主动控制的微分增益可以有效地抑制智能圆柱壳发出的声音。比例增益对声场的影响可以忽略不计,但是比例增益对圆柱壳的声辐射影响很大。数值结果描述了不同压电材料对声功率的影响。

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