局部粘贴压电宏纤维致动器的水下弹性结构机-电-液耦合振动特性

Electricity-structure-fluid coupled vibration of underwater elastic cantilever with partially bonded Macro Fiber Composite(MFC)actuators

  • 摘要: 建立了局部粘贴压电宏纤维致动器(Macro Fiber Composite,MFC)的水下弹性结构机?电?液耦合振动模型,并开展了MFC激励下的水下弹性结构的频率响应实验。采用混合规则法得到了MFC等效体积单元的等效机电耦合参数。基于假设模态法推导了局部粘贴MFC 的欧拉?伯努利梁的分段归一化振型函数。结果显示粘贴MFC致动器的主动变形段末端的变形量仅为被动变形段末端的3%,局部粘贴MFC 致动器弹性结构的模态振型较匀质等截面梁结构发生了明显变化。建立了包含MFC致动器等效驱动力矩、周围流体水动力载荷及弹性结构振动特性的水下弹性结构机-电-液耦合振动模型。基于搭建的实验平台,测试得到了MFC不同激励频率下水下弹性结构的频率响应特性,实验结果表明:耦合动力学模型的理论预测结果与结构实际振动的幅频特性和相频特性基本一致,证明了所建立机-电-液耦合振动模型的有效性。

     

    Abstract: An electricity-structure-fluid coupled model of an elastic cantilever with partially bonded MFC actuators is proposed,and the frequency response experiments of the underwater structure with different excitation levels of the MFC are carried out. The equivalent structural and dielectric parameters of the representative volume element of the MFC actuator are obtained by using the mixing rules method. Based on the assumed mode method,the segmented first-order normalized mode shapes of the cantilever with partially bonded MFC are determined. It shows that the displacement at the end of the active deformation section with bonded MFC actuators is only 3% of that at the tip of the passive deformation section,and the mode shapes of the proposed cantilever change significantly compared with the cantilever with a uniform cross-section. Then,the electricity-structure-fluid coupled dynamic equation of the proposed structure is established. The internal actuation moment of the actuators,the hydrodynamic load provided by the surrounding fluids and the vibration behavior of the elastic structure are all considered in the coupled model. Based on the established set-up,the frequency responses of the underwater elastic structure at different excitation frequencies of the MFC actuators are conducted. Experimental results show that the magnitude-frequency and phase-frequency spectrums of the underwater elastic structure in experiments match well with those of the established model. The effectiveness and feasibility of the obtained coupled model are demonstrated.

     

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