循环周期结构考虑模态局部化的振动控制研究

STUDY ON VIBRATION CONTROLL OF CYCLIC PERIODIC STRUCTURES CONSIDERING MODES LOCALIZATION

  • 摘要: 该文建立了失谐情况下循环周期压电智能结构的有限元动力学计算模型;并应用基于模态空间的最优控制方法对结构振动的主动控制进行了研究;针对典型算例结构进行了动力学特性的分析及小扰动情况下的振动控制仿真,结果表明:弱耦合循环周期结构参数的小量失谐会导致结构振动模态产生明显的局部化,失谐前后的振幅之比约为30%;在进行此种结构的振动主动控制时必须考虑到振动模态局部化的影响;压电智能结构对结构振动控制的效果明显。

     

    Abstract: The dynamics model of disordered cyclic periodic piezoelectric smart structure is established through the finite element method. The active vibration control of the structure is studied in a modal space by applying Linear Quadratic Regulator control method. In terms of a typical example, the dynamic characteristics and vibration control under a small disturbance are investigated. Results show that the small disorder of weak coupling cyclic periodic structure can induce remarkable vibration mode localization, and the ratio of the amplitude of a perfect structure to that of a disordered structure is about 30%. The piezoelectric smart structure has a good effect on vibration control, and the localization of vibration modes must be considered seriously in the active vibration control of the kinds of structure.

     

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