A fast insight into the nonlinear oscillation of nano-electro-mechanical resonators considering the size effect and the van der Waals force
Nano/micro actuators are widely used in micro/nano-electro-mechanical systems (NEMS/MEMS) and the study on their nonlinear oscillation is of great significance. This paper begins with a wrong variational principle (Ghalambaz M., Appl. Nanosci ., 6 (2016) 309) of the reduced governing partial differe...
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| Published in | Europhysics letters Vol. 139; no. 2; pp. 23001 - 23004 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Les Ulis
EDP Sciences, IOP Publishing and Società Italiana di Fisica
01.07.2022
IOP Publishing |
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| Abstract | Nano/micro actuators are widely used in micro/nano-electro-mechanical systems (NEMS/MEMS) and the study on their nonlinear oscillation is of great significance. This paper begins with a wrong variational principle (Ghalambaz M.,
Appl. Nanosci
.,
6
(2016) 309) of the reduced governing partial differential equation of the resonator which is used to describe the nonlinear oscillation of nano-electro-mechanical resonators that takes into account the size effect and the van der Waals force. By using the semi-inverse method,the we establish the genuine variational principle. Then a simple method, the so-called He's frequency formulation, is applied to solve the problem, where only one step is needed to get the approximate amplitude-frequency relationship. Comparing with the existing method, we show that the proposed method is simple but effective, which is helpful for the study of the nonlinear oscillation in micro/nano-electro-mechanical systems. |
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| AbstractList | Nano/micro actuators are widely used in micro/nano-electro-mechanical systems (NEMS/MEMS) and the study on their nonlinear oscillation is of great significance. This paper begins with a wrong variational principle (Ghalambaz M., Appl. Nanosci., 6 (2016) 309) of the reduced governing partial differential equation of the resonator which is used to describe the nonlinear oscillation of nano-electro-mechanical resonators that takes into account the size effect and the van der Waals force. By using the semi-inverse method,the we establish the genuine variational principle. Then a simple method, the so-called He's frequency formulation, is applied to solve the problem, where only one step is needed to get the approximate amplitude-frequency relationship. Comparing with the existing method, we show that the proposed method is simple but effective, which is helpful for the study of the nonlinear oscillation in micro/nano-electro-mechanical systems. Nano/micro actuators are widely used in micro/nano-electro-mechanical systems (NEMS/MEMS) and the study on their nonlinear oscillation is of great significance. This paper begins with a wrong variational principle (Ghalambaz M., Appl. Nanosci ., 6 (2016) 309) of the reduced governing partial differential equation of the resonator which is used to describe the nonlinear oscillation of nano-electro-mechanical resonators that takes into account the size effect and the van der Waals force. By using the semi-inverse method,the we establish the genuine variational principle. Then a simple method, the so-called He's frequency formulation, is applied to solve the problem, where only one step is needed to get the approximate amplitude-frequency relationship. Comparing with the existing method, we show that the proposed method is simple but effective, which is helpful for the study of the nonlinear oscillation in micro/nano-electro-mechanical systems. |
| Author | Wang, Kang-Jia |
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| Cites_doi | 10.1007/s10910-021-01212-y 10.1108/HFF-06-2019-0523 10.1016/j.ijsolstr.2006.12.015 10.1140/epjp/i2017-11438-4 10.1016/j.aml.2021.107199 10.1007/s40819-016-0251-y 10.1177/1461348421992608 10.31181/rme200102143h 10.1177/14613484211044613 10.1016/j.physleta.2021.127588 10.1016/j.proeng.2011.04.286 10.1177/14613484211032757 10.1007/s13204-015-0445-3 10.1108/HFF-07-2019-0577 10.1007/s10778-018-0900-4 10.31181/rme200102001q 10.1007/s10910-019-01063-8 10.3390/axioms11050234 10.1007/s00419-017-1252-y 10.1063/1.1927327 10.1109/TED.2008.2006540 10.1016/j.aej.2020.07.039 10.1016/j.cjph.2016.11.007 10.1177/1461348420984041 |
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| SubjectTerms | Inverse method Microactuators Nanoelectromechanical systems Partial differential equations Resonators Size effects Van der Waals forces |
| Title | A fast insight into the nonlinear oscillation of nano-electro-mechanical resonators considering the size effect and the van der Waals force |
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