标题:Bifurcation behavior for mass detection in nonlinear electrostatically coupled resonators
作者:Li, Lei ;Zhang, Wenming ;Wang, Jing ;Hu, Kaiming ;Peng, Bo ;Shao, Mingyu
作者机构:[Li, Lei ;Zhang, Wenming ;Hu, Kaiming ;Peng, Bo ] State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai 更多
通讯作者:Zhang, Wenming
通讯作者地址:[Zhang, W] State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong UniversityChina;
来源:International Journal of Non-Linear Mechanics
出版年:2020
卷:119
DOI:10.1016/j.ijnonlinmec.2019.103366
关键词:Bifurcation; Coupled resonance; Mass detection; MEMS
摘要:The nonlinear coupled vibrations widely exist in coupled resonant structures, which can lead to complex dynamic bifurcation behavior and expand the research scope of fundamental physics. A new micro-mass detection method is proposed by using bifurcation jumping phenomenon in nonlinear electrostatically coupled resonators in this article. Considering the fundamental frequency excitation, the one-to-one internal resonance equations to describe electrostatically coupled resonant sensor are obtained by using Hamilton's principle and Galerkin method. Then, the perturbation analysis method is introduced to study the response and stability of the system for small amplitude vibration. Through bifurcation analysis, it is found that the isolated response branches appear in nonlinear electrostatically coupled resonators and present the physical conditions of this phenomenon. Typically, we demonstrate the exploitation of the bifurcation jump phenomena of two electrostatically coupled microbeam resonators to realize the mass quantitative detection and threshold detection, which overcomes the detection inaccuracy caused by frequency drift in the nonlinear vibration. Finally, the numerical experiments verify the validity of the method. The results of this paper can be potentially useful in micro-mass detection. © 2019 Elsevier Ltd
收录类别:EI;SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85076042775&doi=10.1016%2fj.ijnonlinmec.2019.103366&partnerID=40&md5=4b869897bf47c12c9169fc05aad5b495
TOP