考虑失谐的弱耦合周期天线结构的振动主动控制研究

建立了弱耦合周期天线结构的动力学计算模型，基于该模型研究了结构失谐前后的振动特性；并应用最优控制方法，对该结构失谐前后振动的主动控制进行了研究；数值仿真结果表明：弱耦合周期天线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失谐的影响，否则会导致振动控制系统的失效。

Study on active vibration control of weak coupling periodic antenna structure considering disorder

The dynamics model of weak coupling periodic antenna structure is established. Based on the dynamics model, vibration properties of the structure are studied. Active vibration control of the structure considering disorder is investigated by applying Linear Quadratic Regulator control method. Results of numerical examples show that small disorder of the structures can induce remarkable mode localization and ratio of the amplitude of perfect structure to that of disordered structure is about 30%. The disorder must be considered seriously while performing active vibration control of this kind of structure to avoid invalidation of vibration control system.