压电混合约束层阻尼梁结构的振动控制

Vibration control of beams with piezoelectric hybrid constrained layer damping treatments

为提高主被动混合压电网络的振动控制频带,结合主被动混合压电网络和被动约束层阻尼结构各自的优点,提出了一种压电混合约束层阻尼结构用于悬臂梁结构的振动控制.利用复剪切模量模型描述粘弹性材料的力学特性,运用Hamilton原理和Rayleigh-Ritz法推导压电混合约束层阻尼悬臂梁结构的动力学模型.在此基础上,采用速度反馈控制策略设计主动控制器,并对系统的开环和闭环特性进行数值分析.分析结果表明,与主被动混合压电网络相比,压电混合约束层阻尼结构具有更显著的振动控制性能和更宽的振动控制频带.而且这种压电混合约束层阻尼结构可以很容易地推广到对其他结构的振动控制.

To enhance the vibration control bandwidth of active-passive hybrid piezoelectric network （APPN）, a kind of piezoelectric hybrid constrained layer damping （PHCLD）, which combined the advantages of the APPN and passive constrained layer damping, was presented to control the vibrations of cantilever beams. Complex shear modulus was used to characterize the dynamic behavior of viscoelastic material, and Hamilton＇s principle with Raleigh-Ritz method was employed to establish the dynamic model of the cantilever beams with PHCLD treatments. On this basis, the velocity feedback control strategy was used to design the active controller, and numerical simulations were performed to analyze the open-loop and closed- loop characteristics of the beam/PHCLD system. Analysis results indicate that the PHCLD has better vibration control performance and wider vibration control bandwidth as compared with the APPN. Furthermore, this PHCLD treatment could be easily extended to control the vibrations of other kinds of structures.