Abstract:Based on the global bifurcation theory, the mechanism of pull-in instability of a typical electrostatic driven bilateral capacitive micro-resonator was studied. Then, a linear time-delay velocity feedback was introduced into the system’s DC bias voltage to control complex dynamic behavior of the system. By introducing independent parameters, the exact analytical expression of the system’s heteroclinic orbit was obtained. Furthermore, Melnikov method was used to predict heteroclinic bifurcation conditions of the microstructure to obtain its AC voltage threshold causing its pull-in instability. It was shown that the numerical results agree well with the theoretical analytical ones to verify the time-delay velocity feedback control being able to effectively suppress pull-in instability, chaos and other complex dynamic behaviors of this kind of bilateral capacitive micro structures; the study results have potential application value for optimal controlling the performance of micro resonators.
尚慧琳,董章辉,刘海,刘智群. 一类双边电容型微谐振器吸合不稳定及其时滞速度反馈控制[J]. 振动与冲击, 2021, 40(7): 237-243.
SHANG Huilin, DONG Zhanghui, LIU Hai, LIU Zhiqun. Pull in instability and time delay velocity feedback control for a class of bilateral capacitive micro-resonators. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(7): 237-243.
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