Journal of Applied Physics
   
 
 
 
Previous Article
The role of anisotropy in the response of the titanium alloy Ti–6Al–4V to shock loading
Manganin stress gauges in lateral orientation have been used to monitor the shock response of Ti–6Al–4V when loaded either parallel to or radial to the long axis of the original bar stock ...
Next Article
Forced chemical mixing in model immiscible systems under plastic deformation
Molecular dynamics has been employed to investigate forced chemical mixing in binary immiscible systems induced by plastic deformation. Four X matrix-Y precipitate model systems with thermodynamic and...

Response spectrum of coupled nanomechanical resonators

J. Appl. Phys. 104, 073532 (2008); doi:10.1063/1.2996031

Published 10 October 2008

You are not logged in to this journal. Log in

J. Dorignac,1 A. Gaidarzhy,1 and P. Mohanty2
1College of Engineering, Boston University, Boston, Massachusetts 02215, USA
2Department of Physics, Boston University, Boston, Massachusetts 02215, USA

We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multielement structure. In this model, arrays of submicron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam are replaced by a continuum. In this approach, the equations of motion of the structure become exactly solvable. Our analytical results capture the main features of the vibrational modes observed both numerically and experimentally and can be applied to a general class of scale-independent elasticaly coupled resonator structures. ©2008 American Institute of Physics
History: Received 21 May 2008; accepted 19 August 2008; published 10 October 2008
Permalink: http://link.aip.org/link/?JAPIAU/104/073532/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (368 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 07.10.Cm
    Micromechanical devices and systems
  • 85.85.+j
    Micro- and nano-electromechanical systems (MEMS/NEMS) and devices
  • YEAR: 2008

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0021-8979 (print)   1089-7550 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (28)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. J. A. Wheeler and W. H. Zurek, Quantum Theory and Measurement (Princeton University, Princeton, 1983).
  2. W. Zurek, Rev. Mod. Phys. 75, 715 (2003).
  3. I. Martin and W. H. Zurek, Phys. Rev. Lett. 98, 120401 (2007).
  4. C. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, and M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980).
  5. M. Bocko and R. Onofrio, Rev. Mod. Phys. 68, 755 (1996).
  6. H. J. Mamin and D. Rugar, Appl. Phys. Lett. 79, 3358 (2001).
  7. D. Rugar, R. Budakian, H. J. Mamin, and B. W. Chui, Nature (London) 430, 329 (2004).
  8. J. Dorignac, A. Kalinowski, S. Erramilli, and P. Mohanty, Phys. Rev. Lett. 96, 186105 (2006).
  9. V. B. Braginsky and F. Y. Khalili, Rev. Mod. Phys. 68, 1 (1996).
  10. C. Montemagno and G. Bachand, Nanotechnology 10, 225 (1999).
  11. G. Wu, H. Ji, K. Hansen, T. Thundat, R. Datar, R. Cote, M. Hagan, A. K. Chakraborty, and A. Majumdar, Proc. Natl. Acad. Sci. U.S.A. 98, 1560 (2001).
  12. A. Gaidarzhy, G. Zolfagharkhani, R. L. Badzey, and P. Mohanty, Phys. Rev. Lett. 94, 030402 (2005).
  13. M. D. LaHaye, O. Buu, B. Camarota, and K. C. Schwab, Science 304, 74 (2004).
  14. P. Mohanty, in Applications of Nonlinear Dynamics (Springer) (to be published);
  15. P. Mohanty, arXiv:0802.4116v1.
  16. C. T. C. Nguyen, IEEE Trans. Microwave Theory Tech. 47, 1486 (1999).
  17. C. T. C. Nguyen, L. P. B. Katehi, and G. M. Rebitz, Proc. IEEE 86, 1756 (1998).
  18. R. Badzey, G. Zolfagharkhani, A. Gaidarzhy, and P. Mohanty, Appl. Phys. Lett. 85, 3587 (2004).
  19. P. Mohanty, G. Zolfagharkhani, S. Kettermann, and P. Fulde, Phys. Rev. B 70, 195301 (2004).
  20. X. M. H. Huang, C. Zorman, M. Mehregany, and M. L. Roukes, Nature (London) 421, 496 (2003).
  21. A. Gaidarzhy, M. Imboden, P. Mohanty, B. Sheldon, and J. Ranken, Appl. Phys. Lett. 91, 203503 (2007).
  22. F. D. Bannon III, J. R. Clark, and C. T.-C. Nguyen, IEEE J. Solid-State Circuits 35, 512526 (2000).
  23. A. Gaidarzhy, G. Zolfagharkhani, R. Badzey, and P. Mohanty, Appl. Phys. Lett. 86, 254103 (2005).
  24. R. Maranganti and P. Sharma, Phys. Rev. Lett. 98, 195504 (2007).
  25. S. M. Han, H. Benaroya, and T. Wei, J. Sound Vib. 225, 935 (1999).
  26. A. H. Nayfeh and P. F. Pai, Linear and Nonlinear Structural Mechanics, Wiley Series in Nonlinear Science, (Wiley-Interscience, Weinheim, Germany, 2004).
  27. L. A. Segel, Mathematics Applied to Continuum Mechanics (Dover, New York, 1987), p. 207.
  28. J. M. Gere and S. P. Timoshenko, Mechanics of Materials (PWS, Boston, 1997).
  29. C. V. de Silva, Vibration: Fundamentals and Practice, 2nd ed. (CRC, Taylor & Francis, Boca Raton, FL, 2007), p. 385–439.

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.