Free vibrations control of a cantilever beam using combined time delay feedback
Free vibrations control of a cantilever beam using combined time delay feedback
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DOI：
10.1177/1077546311405700
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发表时间：
2012-04
影响因子：
2.8
通讯作者：
Khaled A. Alhazza;M. Majeed
中科院分区：
文献类型：
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作者：
Khaled A. Alhazza;M. Majeed
针对悬臂梁的自由振动问题，提出了一种新的多输入单输出延迟反馈控制器。利用第一模态推导了一个线性模型，并用于分析和表征由不同延迟反馈控制器产生的阻尼作为控制器增益和延迟的函数。研究了三种不同的单一延迟反馈和新的组合延迟反馈所产生的稳定区域和阻尼量。给出了新控制器的三维图形，显示了稳定区域作为控制器增益和延迟的函数。将线性模型预测的控制器特性阻尼与三模非线性模型直接长时间积分计算的控制器特性阻尼进行了比较。得到了控制器增益和延迟的最优值，并进行了仿真和比较。为了验证单模近似，采用三模全非线性模型进行了数值模拟。使用多输入延迟反馈控制器的结果表明，在减轻第一模态振动方面有很好的改善。
A new multi-input single-output delay feedback controller is presented to reduce free vibrations of a cantilever beam. A linear model using the first mode is derived and used to analyze and characterize the damping produced by different delay-feedback controllers as a function of the controller's gains and delay. The stability regions and amount of damping produced by three different single delay feedback and the new combined delayed feedback are investigated. A three-dimensional figure for the new controller showing the stability regions as a function of the controller gains and delay is presented. The characteristic damping of the controller as predicted by the linear model is compared with that calculated using direct long-time integration of a three-mode nonlinear model. Optimal values of the controllers gains and delay are obtained, simulated, and compared. To validate the single mode approximation, numerical simulations are performed using three-mode full nonlinear model. The results obtained using multi-input delay-feedback controllers demonstrate an excellent improvement in mitigating the first-mode vibration.