Vibration Control for the Primary Resonance of a Cantilever Beam by a Time Delay State Feedback
Vibration Control for the Primary Resonance of a Cantilever Beam by a Time Delay State Feedback
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DOI：
10.1006/jsvi.2002.5144
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发表时间：
2003-01
影响因子：
4.7
通讯作者：
A. Maccari
中科院分区：
文献类型：
--
作者：
A. Maccari
摘要 研究了时滞状态反馈控制下悬臂梁的一次谐振。利用渐近摄动方法，得到了振荡器振幅和相位的两个慢流方程，并显示了外部激励响应和频率响应曲线。可以通过适当的时间延迟和反馈增益来执行振动控制和高振幅响应抑制。此外，还考虑了能量，以研究悬臂梁准周期调制运动的存在性和特性。可以证明，反馈增益和时间延迟的适当选择可以排除调制运动的可能性并降低主共振的幅度峰值。分析结果通过数值模拟得到验证。
Abstract The primary resonance of a cantilever beam under state feedback control with a time delay is investigated. By means of the asymptotic perturbation method, two slow-flow equations on the amplitude and phase of the oscillator are obtained and external excitation–response and frequency–response curves are shown. Vibration control and high-amplitude response suppression can be performed with appropriate time delay and feedback gains. Moreover, energy considerations are used in order to investigate existence and characteristics of quasiperiodic modulated motion for the cantilever beam. It can be demonstrated that appropriate choices for the feedback gains and the time delay can exclude the possibility of modulated motion and reduce the amplitude peak of the primary resonance. Analytical results are verified with numerical simulations.