Quality factor in clamping loss of nanocantilever resonators

Ko, Jin Hwan; Jeong, Joonho; Choi, Jinbok; Cho, Maenghyo

doi:10.1063/1.3575560

Cited by 24 publications

(24 citation statements)

References 16 publications

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“…For small strain in the elastic regime, the computed Q factor was found to be independent of j and hence we set j ¼ 0:02 w . Equation (12) needs to be supplemented with a proper boundary condition at the ends. Adiabatic boundary condition implies that the energy density for þ and À waves for a given mode should be the same at y ¼ þ w 2 and y ¼ À w 2 .…”

Section: Phonon Dynamicsmentioning

confidence: 99%

“…Adiabatic boundary condition implies that the energy density for þ and À waves for a given mode should be the same at y ¼ þ w 2 and y ¼ À w 2 . Equation (12) was solved numerically using the finite difference method. Adiabatic boundary condition was used.…”

Section: Phonon Dynamicsmentioning

confidence: 99%

“…The different mechanisms that govern dissipation can be broadly classified as extrinsic and intrinsic mechanisms. Extrinsic dissipation [10][11][12][13][14][15] involves the loss of vibrational energy because of coupling with external environment, while intrinsic damping results from energy exchange with the internal thermal motion of the structure. While extrinsic damping can often be eliminated with a better design, intrinsic energy loss sets a fundamental limit for the device performance.…”

Section: Introductionmentioning

confidence: 99%

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Intrinsic dissipation in a nano-mechanical resonator

Kunal¹,

Aluru²

2014

Journal of Applied Physics

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We investigate the effect of size on intrinsic dissipation in nano-structures. We use molecular dynamics simulation and study dissipation under two different modes of deformation: stretching and bending mode. In the case of stretching deformation (with uniform strain field), dissipation takes place due to Akhiezer mechanism. For bending deformation, in addition to the Akhiezer mechanism, the spatial temperature gradient also plays a role in the process of entropy generation. Interestingly, we find that the bending modes have a higher Q factor in comparison with the stretching deformation (under the same frequency of operation). Furthermore, with the decrease in size, the difference in Q factor between the bending and stretching deformation becomes more pronounced. The lower dissipation for the case of bending deformation is explained to be due to the surface scattering of phonons. A simple model, for phonon dynamics under an oscillating strain field, is considered to explain the observed variation in dissipation rate. We also studied the scaling of Q factor with initial tension, in a beam under flexure. We develop a continuum theory to explain the observed results.

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Section: Phonon Dynamicsmentioning

confidence: 99%

Section: Phonon Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Intrinsic dissipation in a nano-mechanical resonator

Kunal¹,

Aluru²

2014

Journal of Applied Physics

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“…The loss of energy in a mechanical resonator can result from different processes which can be classified into intrinsic and extrinsic dissipation mechanisms. Fluid damping 6 and clamping losses 7,8 are two important extrinsic dissipation mechanisms in a nano-resonator. In the case of an intrinsic dissipation mechanism, the ordered mechanical energy is transformed into the disordered internal energy of the system.…”

mentioning

confidence: 99%

Akhiezer damping in nanostructures

Kunal

Aluru

2011

Phys. Rev. B

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Dissipation in a nano-mechanical resonator under the application of a nearly uniform strain field is investigated using Molecular Dynamics (MD) simulations. Under the application of a uniform strain field and in the frequency range studied, we expect Akhiezer damping to be the dominant loss mechanism. The scaling of energy dissipation rate with frequency for the bulk case and a finite sized nanostructure are studied and the results are explained by Akhiezer damping. The size effect on the dissipation rate is also investigated. The results show a significant role of the surface on the dissipation rate. An increase in the Q factor with a decrease in thickness of the structure is observed for a certain range. Below some critical thickness, the trend reverses indicating multiple roles of the surface contributing to the dissipation process.

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“…Equation (10) was solved numerically using the velocity Verlet integration scheme. x 0 n ; k n , and s n required as inputs to the equation were estimated from MD simulation (as discussed before).…”

Section: Out-of-plane Langevin Dynamicsmentioning

confidence: 99%

Phonon mediated loss in a graphene nanoribbon

Kunal

Aluru

2013

Journal of Applied Physics

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Periodic stretching of a string, under adiabatic condition (no thermal coupling with the environment), will increase its temperature. This represents the case of intrinsic damping where the energy associated with stretching motion is converted into thermal energy. We study this phenomenon in a graphene nanoribbon (GNR), a nano-string. We utilize classical molecular dynamics and study the scaling of dissipation rate (Q factor) with frequency. The dissipation is shown to result from strong non-linear coupling between the stretching vibration and the out-ofplane thermal phonons. A Langevin dynamics framework is developed to describe the out-of-plane phonon dynamics under in-plane stretching. The dissipation mechanism is analyzed using this framework. From the analysis, a bi-relaxation time model is obtained to explain the observed scaling of Q factor with frequency. We also compute the size and temperature dependence of Q factor. The decrease in Q factor with decrease in size (width) is shown to result from the elastic softening of GNR. V C 2013 AIP Publishing LLC. [http://dx.

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Quality factor in clamping loss of nanocantilever resonators

Abstract: Articles you may be interested in Observation of nonclassical scaling laws in the quality factors of cantilevered carbon nanotube resonators

Cited by 24 publications

References 16 publications

Intrinsic dissipation in a nano-mechanical resonator

Intrinsic dissipation in a nano-mechanical resonator

Akhiezer damping in nanostructures

Phonon mediated loss in a graphene nanoribbon

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