Vibration sensitivity of the scanning near-field optical microscope with a tapered optical fiber probe

Chang, Win−Jin; Fang, Te-Hua; Lee, Haw-Long; Yang, Yu−Ching

doi:10.1016/j.ultramic.2004.08.007

Cited by 8 publications

(3 citation statements)

References 13 publications

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“…A CNT with such the inconstant diameter along the length is called conical carbon nanotubes (CCNTs). The CCNTs, due to dominant applications in the modern industries, have been of important interest to engineers and scientific researchers [4][5][6][7][8][9][10]. In the case of CCNTs, Chang and Lee [11] mechanically studied a CCNT in vibrating based on the surface effect.…”

Section: Introductionmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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This research predicts theoretically post-critical axial buckling behavior of truncated conical carbon nanotubes (CCNTs) with several boundary conditions by assuming a nonlinear Winkler matrix. The post-buckling of CCNTs has been studied based on the Euler-Bernoulli beam model, Hamilton's principle, Lagrangian strains, and nonlocal strain gradient theory. Both stiffness-hardening and stiffness-softening properties of the nanostructure are considered by exerting the second stressgradient and second strain-gradient in the stress and strain fields. Besides small-scale influences, the surface effect is also taken into consideration. The effect of the Winkler foundation is nonlinearly taken into account based on the Taylor expansion. A new admissible function is used in the Rayleigh-Ritz solution technique applicable for buckling and post-buckling of nanotubes and nanobeams. Numerical results and related discussions are compared and reported with those obtained by the literature. The significant results proved that the surface effect and the nonlinear term of the substrate affect the CCNT considerably.

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Section: Introductionmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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“…These conical structures might be found on the caps of CNTs and also as free-standing structures generated in a carbon arc [3]. CNCs have found widespread potential applications in the scanning near-filed optical microscope, atomic force microscopy imaging and field emission [4][5][6]. More recently, these nanostructured materials due to their unique properties have gained increasing scientific interest to have promising uses in many novel applications including energy storage, gas storage and nanoelectromechanical systems (NEMSs) [7,8].…”

Section: Introductionmentioning

confidence: 99%

Nano-oscillators based on a C60 fullerene inside open carbon nanocones: a molecular dynamics study

Ajori

Sadeghi

Ansari

2020

J Braz. Soc. Mech. Sci. Eng.

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This study deals with the mechanical oscillatory behavior of a C 60 fullerene tunneling through open carbon nanocones (CNCs) using molecular dynamics simulations. The van der Waals (vdW) interactions between two molecules are modeled by Lennard-Jones (LJ) potential, while the interatomic interactions between carbon atoms are modeled by Tersoff-Brenner (TB) potential. Considering the two nanostructures to be either rigid or flexible, a comparative study is conducted to get an insight into the effects of initial conditions (initial separation distance and initial velocity) and geometrical parameters (length and radii of nanocone) on the oscillatory behavior of C 60-open CNC oscillators. It is found out that the fullerene molecule performs a uniform oscillation inside open CNCs in the case of rigid nanostructures, whereas it performs a decaying oscillation inside nanocones with a considerable decrease in amplitude and significant increase in oscillation frequency in the case of flexible nanostructures. It is further shown that the preferred position of system corresponding to rigid nanostructures occurs inside of nanocone and close to its small end. On the contrary, this position related to flexible ones changes during the oscillation and moves toward the wide end of nanocone. This study can be used as a benchmark for the improvement of gigahertz (GHz) oscillators and related potential applications together with future developments in the field by extending to fractal calculus.

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“…They found that each mode had a different mode shape and a different sensitivity, affected by the rigidity of the probe and the properties of surface. Recently, Chang et al 15) studied the scanning near-field optical microscope using tapered optical fiber probe with flexural and axial sensitivities to vibration, and found that the flexural and axial sensitivities of the tapered probe were more sensitive than the uniform probe when the contact stiffness was low. These studies of the vibration behavior of the SNOM used in the measurement mode considered the probe a Bernoulli-Euler beam model.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Scanning Near-Field Optical Microscope Probe Using the Timoshenko Beam Model

Chang

Chen

Lee

2008

jjap

Self Cite

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The flexural vibration frequency for a scanning near-field optical microscope (SNOM) fiber probe has been derived using the Timoshenko beam theory, including the effects of shear deformation and rotary inertia, and a closed-form expression has been obtained. In the analysis, the effects of the normal contact stiffness and the ratio of different probe dimensions on the frequency were studied. The results show that increasing the ratio of probe length to radius increases the vibration frequency of mode 1. In addition, the resonant frequencies based on the Bernoulli–Euler beam theory and the Timoshenko beam theory are compared. When the contact stiffness is very large for the higher modes, the effects of shear deformation and rotary inertia on the frequency become significant. This observation that the Timoshenko beam theory is able to predict the frequencies of flexural vibrations of the higher modes with higher contact stiffness for the SNOM fiber probe.

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Vibration sensitivity of the scanning near-field optical microscope with a tapered optical fiber probe

Cited by 8 publications

References 13 publications

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Nano-oscillators based on a C60 fullerene inside open carbon nanocones: a molecular dynamics study

Vibration Analysis of Scanning Near-Field Optical Microscope Probe Using the Timoshenko Beam Model

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