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FEEDBACK CONTROL OF THE FLUTTER OF A CANTILEVERED PLATE IN AN AXIAL FLOW

机译:轴向流动中悬臂板颤振的反馈控制

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摘要

We investigate the experimental control of the instabilities of a plate in an axial fluid flow. In absence of control, the plate is subjected to a flutter instability once a critical flow velocity is reached. In the present work, the objective of the feedback control is to increase the critical velocity and reduce the vibration amplitude once the flutter has appeared. Initially, the plate vibration and the action of the piezoelectric sensors is modelled in order to obtain a discrete state-space model of the controlled system. A Galerkin method is used, so that the discrete coordinates are the modal amplitudes of a beam when the flow velocity is zero. The action of the actuator is classically modeled as a momentum acting on the plate. To estimate the validity of the model, frequency response measurements are performed on the system. A good correspondence is found between the model and experiments. Dissipation coefficients are experimentally evaluated. Next, the feedback control loop design is investigated. As a first approach, a PI controller system is implemented. The controllability and stability limits of the closed loop system are investigated. We choose to implement experimentally this control, as it does not require an overly precise modelisation of the disturbances acting on the plate. Impulse response of the system without flow is performed to investigate the optimal control gain. Other tests are performed to show how the controller works against disturbances from a fluid flow. Despite the strong limitations that have been previously mentionned, some encouraging results have been found. The critical velocity is increased and the amplitude of vibration is lowered.
机译:我们研究了轴向流体流动中板的不稳定性的实验控制。在没有控制的情况下,一旦达到临界流速,板就会遭受颤动的不稳定性。在当前的工作中,反馈控制的目的是一旦出现颤动就增加临界速度并减小振动幅度。最初,对板振动和压电传感器的作用进行建模,以获得受控系统的离散状态空间模型。使用Galerkin方法,以便离散坐标是流速为零时梁的模态振幅。致动器的作用通常被建模为作用在板上的动量。为了估计模型的有效性,在系统上执行了频率响应测量。在模型和实验之间找到了很好的对应关系。耗散系数通过实验评估。接下来,研究反馈控制回路的设计。作为第一种方法,实施PI控制器系统。研究了闭环系统的可控性和稳定性极限。我们选择以实验方式实施这种控制,因为它不需要对作用在板上的干扰进行过于精确的建模。进行无流量系统的脉冲响应以研究最佳控制增益。进行了其他测试,以显示控制器如何抵抗流体流动的干扰。尽管前面已经提到了很大的局限性,但还是发现了一些令人鼓舞的结果。临界速度增加,振动幅度降低。

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