The effect and design of time delay in feedback control for a nonlinear isolation system
作者： Xiuting Sun , Jian Xu , Jiangsong Fu
DOI: 10.1016/J.YMSSP.2016.10.022
关键词: Transmissibility (vibration) 、 Amplitude death 、 Nonlinear system 、 Control theory 、 Isolator 、 Engineering 、 Dissipation 、 Vibration 、 Vibration isolation 、 Natural frequency
摘要: Abstract The optimum value of time delay active control used in a nonlinear isolation system for different types external excitation is studied this paper. Based on the mathematical model isolator with time-delayed control, stability, response and displacement transmissibility are analyzed to obtain standards appropriate values strengths. effects nonlinearity stability vibration discussed details. For impact random excitation, optimal obtained based dissipation via eigenvalues analysis, while harmonic determined multiple properties including natural frequency, amplitude death region effective by Averaging Method. This paper establishes relationship between parameters which provides guidance optimizing engineering practices.
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sci-hub.se 参考文章(30)
Jian Xu, Yixia Sun, Experimental studies on active control of a dynamic system via a time-delayed absorber Acta Mechanica Sinica. ,vol. 31, pp. 229- 247 ,(2015) , 10.1007/S10409-015-0411-Z
HC Zhang, DL Xu, Chao Lu, SY Xia, ER Qi, JJ Hu, YS Wu, None, Network dynamic stability of floating airport based on amplitude death Ocean Engineering. ,vol. 104, pp. 129- 139 ,(2015) , 10.1016/J.OCEANENG.2015.05.008
Daolin Xu, Qiping Yu, Jiaxi Zhou, S.R. Bishop, Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic Journal of Sound and Vibration. ,vol. 332, pp. 3377- 3389 ,(2013) , 10.1016/J.JSV.2013.01.034
Yixia Sun, Jian Xu, Experiments and analysis for a controlled mechanical absorber considering delay effect Journal of Sound and Vibration. ,vol. 339, pp. 25- 37 ,(2015) , 10.1016/J.JSV.2014.11.005
F. Kerber, S. Hurlebaus, B.M. Beadle, U. Stöbener, Control concepts for an active vibration isolation system Mechanical Systems and Signal Processing. ,vol. 21, pp. 3042- 3059 ,(2007) , 10.1016/J.YMSSP.2007.04.003
A. Carrella, M.J. Brennan, I. Kovacic, T.P. Waters, On the force transmissibility of a vibration isolator with quasi-zero stiffness Journal of Sound and Vibration. ,vol. 322, pp. 707- 717 ,(2009) , 10.1016/J.JSV.2008.11.034
Ivana Kovacic, Michael J. Brennan, Timothy P. Waters, A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic Journal of Sound and Vibration. ,vol. 315, pp. 700- 711 ,(2008) , 10.1016/J.JSV.2007.12.019
Daniel Fischer, Rolf Isermann, Mechatronic semi-active and active vehicle suspensions Control Engineering Practice. ,vol. 12, pp. 1353- 1367 ,(2004) , 10.1016/J.CONENGPRAC.2003.08.003
Jiaxi Zhou, Xinlong Wang, Daolin Xu, Steve Bishop, Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam–roller–spring mechanisms Journal of Sound and Vibration. ,vol. 346, pp. 53- 69 ,(2015) , 10.1016/J.JSV.2015.02.005
Prashanth Ramachandran, Y.M. Ram, Stability boundaries of mechanical controlled system with time delay Mechanical Systems and Signal Processing. ,vol. 27, pp. 523- 533 ,(2012) , 10.1016/J.YMSSP.2011.09.017