Control stability analysis of smart beams with debonded piezoelectric actuator layer
Control stability analysis of smart beams with debonded piezoelectric actuator layer
复制标题
具有脱粘压电执行器层的智能梁的控制稳定性分析
DOI：
10.2514/2.1863
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
L. Tong
中科院分区：
文献类型：
--
作者：
Dongchang Sun;L. Tong
主动控制结构中压电作动器或传感器层的脱粘会严重影响其闭环控制，甚至使主动控制失效。研究脱粘压电层对智能结构控制稳定性的影响是十分重要的。提出了一种基于状态方程的方法来研究部分脱粘压电致动器和传感器层控制梁的控制稳定性。给出了一种带剥离压电层梁的解析模型，该模型考虑了粘接层对压电层剥离的影响。位移连续性和力平衡条件都施加在脱粘区和完全粘接区之间的界面上。在此基础上，推导了带有脱粘压电作动器和传感器的被控结构的特征方程，并由此得到了被控系统的特征值。被控模式的控制稳定性可以通过检查相应特征值实部的符号来评估。仿真结果表明，致动器层5%的边缘脱粘都能使致动器/传感器对控制的悬臂梁失稳，而自传感致动器层控制的梁能容忍更大的压电层边缘脱粘。与执行器脱粘部分的模态频率接近的模态，其阻尼系数和模态频率的变化更为显著。
Debonding of a piezoelectric actuator or sensor layer in an actively controlled structure may significantly affect its closed-loop control and even collapse the active control. Investigation of the effects of the debonded piezoelectric layer on the control stability of smart structures is very important. A state-equation-based method is presented to investigate the control stability of the beams controlled by partially debonded piezoelectric actuator and sensor layers. An analytical model of a beam with a debonded piezoelectric layer is given, in which the debonding of the piezoelectric layer is modeled by considering the adhesive layers. Both displacement continuity and force equilibrium conditions are imposed at the interfaces between the debonded and perfectly bonded regions. Based on this model, a characteristic equation for the controlled structure with debonded piezoelectric actuators and sensor is derived, from which the eigenvalues of the controlled system can be obtained. The control stability of a controlled mode can be evaluated by examining the sign of the real part of the corresponding eigenvalue. The simulation results show that even a 5% edge debonding of the actuator layer can destabilize the cantilevered beam controlled by an actuator/sensor pair, whereas a beam controlled by a self-sensing actuator layer can tolerate much larger edge debonding of the piezoelectric layer. More significant changes can be found in both the damping coefficient and the frequency of the mode whose frequency is close to one of the modal frequencies of the debonded part of the actuator.