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首页> 外文会议>International Conference on Modeling in Mechanics and Materials >Vibration Suppression of a Cantilevered Piezoelectric Laminated Composite Plate Subjected to Hygrothermal Loads
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Vibration Suppression of a Cantilevered Piezoelectric Laminated Composite Plate Subjected to Hygrothermal Loads

机译：经受湿热载荷的悬臂压电叠层复合板的振动抑制

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摘要

In this paper,the vibration suppression strategy for a cantilevered rectangular piezoelectric laminated composite plate is proposed by using the piezoelectric patches,which are attached to the upper and lower surfaces of the plate as the actuators and sensors,respectively.The main contributions of this study is as follows:Firstly,Based on classical laminated plate theory and considering the action of piezoelectric loadings,the dynamics equation of a piezoelectric laminated composite plate subjected to hygrothermal loads is derived by using Hamilton's principle.The partial differential equations of the piezoelectric laminated composite plate are discretized to a two-degree-of-freedom control equation by using Galerkin method.Secondly,According to the discrete nominal model,a robust controller for the uncertain systems is proposed.Based on the state space equation,the output feedback controller for the system is designed.In the constructed full-dimensional state observer,the estimated state feedback is introduced to construct a closed-loop feedback system.Using the Lyapunov Matrix Inequality(LMI)method and Lyapunov Stability Theory,the feedback gain matrix and observation gain matrix for the system are designed to make the closed-loop system asymptotically stable.Finally,the accuracy and effectiveness of the controller are verified by numerical simulation.
机译：本文采用压电贴片提出了悬臂矩形压电叠层复合板的振动抑制策略，分别作为致动器和传感器附接到板的上表面和下表面。本研究的主要贡献如下：首先，基于经典层压板理论并考虑压电载荷的作用，通过使用汉密尔顿原理来推导经受湿热载荷的压电层压复合板的动力学方程。压电叠层复合板的局部微分方程。通过使用Galerkin方法离散到一个自由度控制方程。第二，根据离散标称模型，提出了一种用于不确定系统的强大控制器。在状态空间方程上，输出反馈控制器系统设计。在构造的全维状态观察者中，估计的ST引入了ATE反馈以构建闭环反馈系统。利用Lyapunov矩阵不等式（LMI）方法和Lyapunov稳定性理论，对系统的反馈增益矩阵和观察增益矩阵旨在使闭环系统渐近稳定。最后，通过数值模拟验证了控制器的准确性和有效性。

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