| 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
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| Corresponding Author | Zhao, Ya-pu([email protected]) |
| Source Publication | MATHEMATICS AND MECHANICS OF SOLIDS
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| 2022-06-07 | |
| Pages | 18 |
| ISSN | 1081-2865 |
| Abstract | 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. |
| Keyword | Membrane vibration pull-in instability eigenfrequency electrostatic force large deflection nonlinearity |
| DOI | 10.1177/10812865221101120 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000810809300001 |
| WOS Keyword | DEFLECTIONS ; DYNAMICS |
| WOS Research Area | Materials Science ; Mathematics ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China (NSFC) ; Strategic Program Research Program (B) of the Chinese Academy of Sciences |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Zhao, Ya-pu |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89746 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au:Zhao, Ya-pu |
| 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Jp2022FA625.pdf（668KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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