Abstract:A type of electrostatic double-side capacitive micro resonator is considered, and time-delayed position feedback on the DC voltage of its driven circuit is applied to control the complex dynamic behaviors of the microstructure, such as chaos and pull-in instability. Firstly, based on the theory of global bifurcation, the necessary conditions for homoclinic bifurcation and heteroclinic one in a time-delay position feedback control system are discussed; thus, the control mechanism of the chaotic motion and pull-in instability is analyzed. Then the validity of theoretical prediction is verified by the agreement between numerical results and theoretical ones. It follows that when the coefficient of the gain is positive, the delayed position feedback can be applied to effectively suppress the two complex dynamic phenomena i.e. chaos and pull-in instability which can be attributed to the global bifurcation but with totally different mechanism. This paper has some potential value of application in ensuring the dynamic integrity of the micro-resonator vibration systems and the design of the microstructures.
收稿日期: 2020-10-22
出版日期: 2022-03-28
引用本文:
尚慧琳,刘海,董章辉,刘智群. 时滞位置反馈对一类双边电容型微谐振器复杂振动的控制[J]. 振动与冲击, 2022, 41(6): 213-221.
SHANG Huilin,LIU Hai,DONG Zhanghui,LIU Zhiqun. Control of the complex vibration of a class of double-side capacitive microresonator via the delayed position feedback. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 213-221.
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