The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading | |
Zhang Y(张吟)1,2; Zhao YP(赵亚溥)1,2 | |
通讯作者 | Zhao, Ya-pu(yzhao@imech.ac.cn) |
发表期刊 | MATHEMATICS AND MECHANICS OF SOLIDS |
2022-06-07 | |
页码 | 18 |
ISSN | 1081-2865 |
摘要 | A continuum membrane model is presented to describe the pull-in instability and eigenfrequency variations of a graphene resonator under an electrostatic loading. The pull-in instability leads to the device failure and the eigenfrequency variation determines its frequency tuning range, which are among the most important aspects in a micro/nanomechanical resonator design. The von Karman kinematic assumptions are used for the membrane large deflection. The geometric nonlinearity resulting from a large deflection and the physical nonlinearity resulting from an electrostatic loading are the two competing mechanisms: the geometric nonlinearity stiffens the membrane structure and the physical nonlinearity softens it. The effects of these two competing mechanisms together with the initial tensile strain on the pull-in instability and eigenfrequency variations are vividly demonstrated. With the aim of achieving a higher accuracy, a multimodal computation method together with its convergence study and error analysis is also presented. |
关键词 | Membrane vibration pull-in instability eigenfrequency electrostatic force large deflection nonlinearity |
DOI | 10.1177/10812865221101120 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000810809300001 |
关键词[WOS] | DEFLECTIONS ; DYNAMICS |
WOS研究方向 | Materials Science ; Mathematics ; Mechanics |
WOS类目 | Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
资助项目 | National Natural Science Foundation of China (NSFC)[11772335] ; National Natural Science Foundation of China (NSFC)[51861145314] ; Strategic Program Research Program (B) of the Chinese Academy of Sciences[XDB22020201] |
项目资助者 | National Natural Science Foundation of China (NSFC) ; Strategic Program Research Program (B) of the Chinese Academy of Sciences |
论文分区 | 二类 |
力学所作者排名 | 1 |
RpAuthor | Zhao, Ya-pu |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/89746 |
专题 | 非线性力学国家重点实验室 |
作者单位 | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang Y,Zhao YP. The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading[J]. MATHEMATICS AND MECHANICS OF SOLIDS,2022:18. |
APA | 张吟,&赵亚溥.(2022).The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading.MATHEMATICS AND MECHANICS OF SOLIDS,18. |
MLA | 张吟,et al."The pull-in instability and eigenfrequency variations of a graphene resonator under electrostatic loading".MATHEMATICS AND MECHANICS OF SOLIDS (2022):18. |
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