 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| I.E. Berinskii, D.I. Indeitsev, N.F. Morozov, D.Yu. Skubov, and L.V. Shtukin, "Differential Graphene Resonator as a Mass Detector," Mech. Solids. 50 (2), 127-134 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
2 |
Pages |
127-134 |
| DOI |
10.3103/S0025654415020028 |
| Title |
Differential Graphene Resonator as a Mass Detector |
| Author(s) |
I.E. Berinskii (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr. 61, V.O., St. Petersburg, 199178 Russia; St. Petersburg State Polytechnical University, ul. Polytekhnicheskaya 29, St. Petersburg, 195251 Russia, iberinsk@gmail.com)
D.I. Indeitsev (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr. 61, V.O., St. Petersburg, 199178 Russia; St. Petersburg State Polytechnical University, ul. Polytekhnicheskaya 29, St. Petersburg, 195251 Russia, dmitry.indeitsev@gmail.com)
N.F. Morozov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr. 61, V.O., St. Petersburg, 199178 Russia, morozov@math.spbu.ru)
D.Yu. Skubov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr. 61, V.O., St. Petersburg, 199178 Russia; St. Petersburg State Polytechnical University, ul. Polytekhnicheskaya 29, St. Petersburg, 195251 Russia, skubov.dsk@yandex.ru)
L.V. Shtukin (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr. 61, V.O., St. Petersburg, 199178 Russia; St. Petersburg State Polytechnical University, ul. Polytekhnicheskaya 29, St. Petersburg, 195251 Russia, lvtvsh4749@gmail.com) |
| Abstract |
We consider a fundamentally new scheme of graphene resonator, namely, a differential resonator, which provides a significantly increased sensitivity to the mass deposited on it. The differential resonator consists of two parallel graphene sheets located one over the other, the upper (basic) sheet and the lower (supplementary) sheet. The layers are fixed in supporting insulators, and the supplementary layer is located over the conducting surface. The power link between the layers is implemented by the electrostatic field in the space between the layers. Several equilibria are possible in such a mechanical system. The free vibration near the stable equilibrium are considered. The electric field strength in the space between the layers is chosen so that the mechanical system of two graphene layers has two close natural frequencies. The free vibrations of such a system exhibit beating. The characteristic frequency of the envelope, which is further called the beating frequency and is equal to half the difference of natural frequencies of the system, is much lower than the partial natural frequency of each layer. If a particle is deposited on the upper layer, then the partial natural frequency of this layer decreases. In this case, the characteristic frequency of the envelope changes, and a small variation in the partial natural frequency can lead to a significant change in the characteristic frequency of the envelope. This ensures that the differential resonator is more sensitive to the detected particle mass than single-layer resonators. The influence of various parameters of the differential resonator on the measurement accuracy is studied. |
| Keywords |
graphene, graphene resonator, differential resonator, beating |
| References |
| 1. | Ya. S. Greenberg, Yu. Ya. Pashkin, and E. V. Il'ichev,
"Nanomechanical Resonators,"
Uspekhi Fiz. Nauk
182 (4), 407-436 (2012)
[Phys. Usp. (Engl. Transl)
55 (4), 382-407 (2012)]. |
| 2. | K. Eom, H. S. Park, D. S. Yoon, and T. Kwon,
"Nanomechanical Resonators and Their Applications in Biological/Chemical Detection:
Nanomechanics Principles,"
Phys. Rep.
503, 115-163 (2011) |
| 3. | J. S. Bunch, A. M. van der Zande, S. S. Verbridge, et al.,
"Electromechanical Resonators from Graphene Sheets,"
Science
315 (4), 490-493 (2007) |
| 4. | C. Chen, S. Rosenblatt, K. I. Bolotin, et al.,
"Performance of Monolayer Graphene Nanomechanical Resonators with Electrical Readout,"
Nature Nanotech.
4, 861-867 (2009) |
| 5. | X. Q. He, S. Kitipornchai, and K. M. Liew,
"Resonance Analysis of Multi-Layered Graphene Sheets Used as Nanoscale Resonators,"
Nanotech.
16, 2086-2091 (2005) |
| 6. | Y. Liu, Z. Xu, and Q. Zheng,
"The Interlayer Shear Effect on Graphene Multilayer Resonators,"
J. Mech. Phys. Solids
59, 1613-1622 (2011). |
| 7. | T. Natsuki, J.-X. Shi, and Q.-Q. Ni,
"Vibration Analysis of Nanomechanical Mass Sensors Using Double-Layered Graphene Sheets Resonators,"
J. Appl. Phys.
114, 0904307 (2013). |
| 8. | A. M. Van der Zande, R. A. Barton, J. S. Alden, et al.,
"Large-Scale Arrays of Single-Layer Resonators,"
Nano Lett.
10, 4869-4873 (2010) |
| 9. | N. F. Morozov, I. E. Berinskii, D. I. Indeitsev, et al.,
"A Differential Graphene-Based Resonator,"
Dokl. Ross. Akad. Nauk
457 (1), 1-4 (2014)
[Dokl. Phys. (Engl. Transl.)
59 (7), 295-298 (2014)]. |
| 10. | N. F. Morozov, I. E. Berinskii, D. I. Indeitsev, et al.,
"Oscillation Stop as a Way to Determine Spectral Characteristics of a Graphene Resonator,"
Dokl. Ross. Akad. Nauk
456 (5), 537-540 (2014)
[Dokl. Phys. (Engl. Transl.)
59 (6), 254-258 (2014)]. |
| 11. | D. Yu. Skubov and K. Sh. Khodzhaev,
Nonlinear Electromechanics
(Fizmatlit, Moscow, 2003)
[in Russian]. |
|
| Received |
07 December 2014 |
| Link to Fulltext |
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