Huang Zhicheng, Huang Fan, Wang Xingguo, Chu Fulei
College of Mechanical and Electrical Engineering, Jingdezhen Ceramic University, Jingdezhen 333001, China.
Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China.
Materials (Basel). 2022 Dec 22;16(1):95. doi: 10.3390/ma16010095.
This paper deals with the active vibration control of composite cantilever beam. Based on the finite element method and Golla-Hughes-McTavish (GHM) model, the system dynamics equation is established. Models are simplified in physical and modal space because of unobservable and uncontrollable. Based on the particle swarm optimization (PSO) algorithm, the linear quadratic regulator (LQR) feedback gain was optimized. The effect of system vibration damping under different controller parameters, piezoelectric-constrained layer position and excitation signal was studied. The study show that the optimal feedback gain of the controller can effectively balance the control effect and the control cost. The closer the piezoelectric layer and viscoelastic layer are to the fixed end, the better the system control effect and the smaller the control cost. The reduced-order model has a good control effect on different excitation signals.
本文研究复合悬臂梁的主动振动控制。基于有限元方法和戈拉-休斯-麦克塔维什（GHM）模型，建立了系统动力学方程。由于存在不可观测和不可控状态，在物理空间和模态空间对模型进行了简化。基于粒子群优化（PSO）算法，对线性二次调节器（LQR）反馈增益进行了优化。研究了不同控制器参数、压电约束层位置和激励信号下系统振动阻尼的效果。研究表明，控制器的最优反馈增益能够有效平衡控制效果和控制成本。压电层和粘弹性层越靠近固定端，系统控制效果越好，控制成本越小。降阶模型对不同激励信号具有良好的控制效果。
