基于耗散坐标与GHM(Golla-Hughes-Mctavish)模型建立智能约束层阻尼悬臂梁结构的动力学模型,并研究智能约束层悬臂梁结构的振动主动控制.针对结构模型自由度过高问题,分别在物理空间和模态空间对结构模型进行联合降阶处理.先通过具体算例验证了该研究建模方法的正确性,然后比较研究了压电片和黏弹性层铺设位置对系统振动控制效果和控制成本的影响.最后验证了结构简化模型的普遍适用性.研究结果显示,在控制器反馈增益相同的条件下,压电片和黏弹性层的位置越靠近固定端,系统控制效果越好,控制成本越小.简化的模型对含有噪声的输入信号也有较好的控制效果.
In this paper,the dynamic model of the damping cantilever structure of anintelligent constraint layer wasestablished based on the dissipative coordinates and the GHM model,and the vibration active control of the cantilever structure of the intelligent constraint layer wasstudied.Aiming at the problem of excessive freedom of the structural model,the joint order reduction treatment of the structural model wascarried out in the physical space and the modal space.The correctness of the modeling method in this paper wasverified by specific examples,and then the influence of the laying position of piezoelectric sheet and viscoelastic layer on the vibration control effect and control cost of the system wascompared.Finally,the universal applicability of the structural simplification model wasverified.Results show that under the condition of the same feedback gain of the controller,the closer the position of the piezoelectric sheet and the viscoelastic layer to the fixed end,the better the system control effect and the smaller the control cost.The simplified model also has a better control effect on noisy input signals.