Controlling chaotic vibrations of an Euler–Bernoulli beam with an active control strategy

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• 作者：Liming Dai ; L. Sun
• 关键词：Euler–Bernoulli beam ; Active control strategy ; Nonlinear multi ; dimensional dynamic system ; Chaotic vibration
• 刊名：International Journal of Dynamics and Control
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：3
• 期：4
• 页码：425-436
• 全文大小：3,508 KB
• 参考文献：1.Bouwstra S, Geijselaers B (1997) On the Resonance Frequencies of Microbridges. In: Proceedings of the 6th International Conference on Slide-State Sensors and Actuators (TRANSDUCERS-1) 2:1141-144
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  9.Dai L, Sun L (2012) On the fuzzy sliding mode control of nonlinear motions in a laminated beam. J Appl Nonlinear Dyn 1(3):287-07
  10.Dai L, Singh MC (1997) Diagnosis of periodic and chaotic responses in vibratory systems. J Acoust Soc Am 102(6):3361-371
  11.Dai L (2008) Nonlinear dynamics of piecewise constant systems and implementation of piecewise constant arguments. World Scientific, New Jersey
  
• 作者单位：Liming Dai (1)
  L. Sun (1)
  
  1. Industrial Systems Engineering, Sino-Canada Research Centre for Noise and Vibration Control, University of Regina, Regina, SK?, S4S 0A2, Canada
  
• 刊物主题：Vibration, Dynamical Systems, Control; Control; Complexity;
• 出版者：Springer Berlin Heidelberg
• ISSN：2195-2698

文摘

An active control strategy based on the fuzzy sliding mode control is developed in this research for controlling large-amplitude chaotic vibrations of an Euler–Bernoulli beam. The geometric nonlinearity of the beam is considered, and the beam is subjected to an external excitation. Corresponding to the established multi-dimensional system, an active control strategy is proposed for suppressing the vibrations of the system. A comparison between the vibrations of a single-dimensional system and a multi-dimensional system is performed. As found in the research, the higher order vibrations have significant influence on the entire vibration of the beam and must be considered in controlling the vibrations of the beam. The proposed active control strategy shows effectiveness and applicability in controlling the beam’s chaotic vibrations of large amplitude. Keywords Euler–Bernoulli beam Active control strategy Nonlinear multi-dimensional dynamic system Chaotic vibration