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Stabilization Control of Parametric Resonance in Flexible Structure

柔性结构参数共振的稳定控制

基本信息

批准号：
09650454
负责人：
AOSHIMA Nobuharu
金额：
$ 1.66万
依托单位：
University of Tsukuba
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1999
项目状态：
已结题

项目摘要

In this research, some stabilization control methods for parametric resonance are theoretically proposed, and their validity is experimentally confirmed. First, a stabilization method using a pendulum with small static friction at its pivot is proposed. It is theoretically clarified that the unstable region, which is bounded by the bifurcation set on the excitation amplitude-frequency plane, is passively and automatically shifted so that the combination of the excitation amplitude and frequency is no longer in the unstable region. Next, using a motor actuated pendulum, we propose an active control method based on bifurcation control for a parametrically excited single degree of freedom system to make the control system be more robust with respect to the large external disturbance. We expand this active control method proposed for a single degree of freedom system to the distributed-parameter system and establish a stabilization method for the parametrically excited cantilever beam. The motor actuated pendulum increases the degrees of freedom in the control system by one, i.e., the degrees of freedom in the control system are more than those of the beam due to the motion of the pendulum. In order to prevent such increase in the degrees of freedom, we propose a stabilization control by using the piezoceramic as an actuator instead of a motor actuated pendulum. The validity of this method is confirmed by comparing the experimentally obtained results to those of theoretically ones.

本文从理论上提出了一些参数共振的镇定控制方法，并通过实验验证了其有效性。首先，提出了一种利用支点处具有小静摩擦的单摆进行稳定的方法。从理论上阐明了以激励幅频平面上的分叉集为界的不稳定区域被动地自动移动，使得激励幅频组合不再处于不稳定区域。其次，以电机驱动单摆为例，提出了一种基于分岔控制的参数激励单自由度系统的主动控制方法，使控制系统对外界大扰动具有更强的鲁棒性。本文将单自由度系统的主动控制方法推广到分布参数系统，建立了参数激励悬臂梁的镇定方法。电动机致动的摆将控制系统中的自由度增加了一个，即，由于摆的运动，控制系统中的自由度大于梁的自由度。为了防止这种自由度的增加，我们提出了一种稳定控制，通过使用压电陶瓷作为致动器，而不是一个电机驱动的钟摆。通过将实验结果与理论结果进行比较，证实了该方法的有效性。