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首页> 外文期刊>Engineering Technology and Applied Science Research >State-Space Modeling and Active Vibration Control of Smart Flexible Cantilever Beam with the Use of Finite Element Method
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State-Space Modeling and Active Vibration Control of Smart Flexible Cantilever Beam with the Use of Finite Element Method

机译：智能柔性悬臂梁光束的状态空间建模与主动振动控制，采用有限元法

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摘要

The aim of this study is to design a Linear Quadratic Regulator (LQR) controller for the active vibration control of a smart flexible cantilever beam. The mathematical model of the smart beam was created on the basis of the Euler-Bernoulli beam theory and the piezoelectric theory. State-space and finite element models used in the LQR controller design were developed. In the finite element model of the smart beam containing piezoelectric sensors and actuators, the beam was divided into ten finite elements. Each element had two nodes and two degrees of freedom were defined for each node, transverse displacement, and rotation. Two Piezoelectric ceramic lead Zirconate Titanate (PZT) patches were affixed to the upper and lower surfaces of the beam element as pairs of sensors and actuators. The location of the piezoelectric sensor and actuator pair changed and they were consecutively placed on the fixed part, the middle part, and the free end of the beam. In each case, the design of the LQR controller was made considering the first three dominant vibratory modes of the beam. The effect of the position of the sensor-actuator pair on the beam on the vibration damping capability of the controller was investigated. The best damping performance was found when the sensor-actuator pair was placed at the fixed end.
机译：本研究的目的是设计用于智能柔性悬臂梁的主动振动控制的线性二次调节器（LQR）控制器。基于Euler-Bernoulli光束理论和压电理论，创建了智能光束的数学模型。开发了LQR控制器设计中使用的状态空间和有限元模型。在包含压电传感器和致动器的智能梁的有限元模型中，将光束分成10个有限元。每个元素具有两个节点，为每个节点，横向位移和旋转定义了两度的自由度。作为传感器和致动器的对，将两个压电陶瓷铅锆钛酸钛（PZT）贴片固定在梁元件的上表面和下表面上。压电传感器和致动器对的位置改变，它们连续地放置在梁的固定部分，中间部分和自由端上。在每种情况下，考虑到光束的前三个显性振动模式进行了LQR控制器的设计。研究了传感器致动器对在控制器的振动阻尼能力上的光束上的影响。当传感器致动器对放置在固定端时，发现了最佳阻尼性能。

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