Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes

Shi, M.X.; Li, Q.M.; Liu, B.; Feng, Xi‐Qiao; Huang, Yonggang

doi:10.1016/j.ijsolstr.2009.08.024

Cited by 16 publications

(11 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Shi et al [284] have numerically studied the vibration mode of single-walled CNT (SWCNT) and multi-walled CNT (MWCNT) using aFEM scheme. In their study [284], the CNTs are under the free vibration without any boundary conditions.…”

Section: Atomic Finite Element Method: Carbon Nanotube Resonatorsmentioning

confidence: 99%

“…In their study [284], the CNTs are under the free vibration without any boundary conditions. For such a case, the low-frequency motion corresponds to the breathing mode [285][286][287] of CNTs such that CNT experiences the vibration motion in radial direction.…”

Section: Atomic Finite Element Method: Carbon Nanotube Resonatorsmentioning

confidence: 99%

“…resonant frequencies) and the detection sensitivity of CNT resonators with respect to their structural parameters such as chirality [284,289], CNT diameter [284,289], CNT length [289,290], and structural defects for both SWCNTs and MWCNTs, and/or the number of CNT layers for MWCNTs [290]. Moreover, the detection sensitivity of CNT resonators can be theoretically understood with respect to the aforementioned CNT structural parameters [291], which indicates that coarse-grained models can provide fundamental insights into how to optimize the design of CNT resonators for their specific functions such as actuation and sensing.…”

Section: Molecular Structural Mechanics Method: Carbon Nanotube Resonmentioning

confidence: 99%

See 2 more Smart Citations

Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

et al. 2011

View full text Add to dashboard Cite

Recent advances in nanotechnology have led to the development of nano-electro-mechanical systems (NEMS) such as nanomechanical resonators, which have recently received significant attention from the scientific community. This has not only been for their capability for the label-free detection of bio/chemical-molecules at single-molecule (or atomic) resolution for future applications such as the early diagnostics of diseases such as cancer, but also for their unprecedented ability to detect physical quantities such as molecular weight, elastic stiffness, surface stress, and surface elastic stiffness for adsorbed molecules on the surface. Most experimental works on resonator-based molecular detection have been based on the principle that molecular adsorption onto a resonator surface increases the effective mass, and consequently decreases the resonant frequencies of the nanomechanical resonator. However, this principle is insufficient to provide fundamental insights into resonator-based molecular detection at the nanoscale; this is due to recently proposed novel nanoscale detection principles including various effects such as surface effects, nonlinear oscillations, coupled resonance, and stiffness effects. Furthermore, these effects have only recently been incorporated into existing physical models for resonators, and therefore the universal physical principles governing nanoresonator-based detection have not been completely described. Therefore, our objective in this review is to overview the current attempts to understand the underlying mechanisms in nanoresonator-based detection using physical models coupled to computational simulations and/or experiments. Specifically, we will focus on issues of special relevance to the dynamic behavior of nanoresonators and their applications in biological/chemical detection: the resonance behavior of micro/nano-resonators; resonator-based chemical/biological detection; physical models of various nanoresonators such as nanowires, carbon nanotubes, and graphene. We pay particular attention to experimental and computational approaches that have been useful in elucidating the mechanisms underlying the dynamic behavior of resonators across multiple and disparate spatial/length scales, and the resulting insight into resonator-based detection that has been obtained. We additionally provide extensive discussion regarding potentially fruitful future research directions coupling experiments and simulations in order to develop a fundamental understanding of the basic physical principles that govern NEMS and NEMS-based sensing and detection applications.

show abstract

Section: Atomic Finite Element Method: Carbon Nanotube Resonatorsmentioning

confidence: 99%

Section: Atomic Finite Element Method: Carbon Nanotube Resonatorsmentioning

confidence: 99%

Section: Molecular Structural Mechanics Method: Carbon Nanotube Resonmentioning

confidence: 99%

See 1 more Smart Citation

Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

et al. 2011

View full text Add to dashboard Cite

show abstract

“…Shi et al 156 have numerically studied the free vibration of SWCNTs and multi-walled CNTs (MWCNTs) using atomic finite element method (AFEM). AFEM is an improved multiscale computation method developed to study static and dynamic behaviors of nanostructures.…”

Section: Multiscale Methodsmentioning

confidence: 99%

A review on nanomechanical resonators and their applications in sensors and molecular transportation

Arash

Jiang

Rabczuk

2015

Applied Physics Reviews

114

View full text Add to dashboard Cite

Nanotechnology has opened a new area in science and engineering, leading to the development of novel nano-electromechanical systems such as nanoresonators with ultra-high resonant frequencies. The ultra-high-frequency resonators facilitate wide-ranging applications such as ultra-high sensitive sensing, molecular transportation, molecular separation, high-frequency signal processing, and biological imaging. This paper reviews recent studies on dynamic characteristics of nanoresonators. A variety of theoretical approaches, i.e., continuum modeling, molecular simulations, and multiscale methods, in modeling of nanoresonators are reviewed. The potential application of nanoresonators in design of sensor devices and molecular transportation systems is introduced. The essence of nanoresonator sensors for detection of atoms and molecules with vibration and wave propagation analyses is outlined. The sensitivity of the resonator sensors and their feasibility in detecting different atoms and molecules are particularly discussed. Furthermore, the applicability of molecular transportation using the propagation of mechanical waves in nanoresonators is presented. An extended application of the transportation methods for building nanofiltering systems with ultra-high selectivity is surveyed. The article aims to provide an up-to-date review on the mechanical properties and applications of nanoresonators, and inspire additional potential of the resonators.

show abstract

“…Recently, it has been revealed that vibration mode transformation is a common phenomenon that may happen in engineering structures at very different length scales governed by 2:1 or similar internal resonance mechanism. For example, strain growth in explosion containment vessels is related to the vibration mode transformation (Zhu et al, 1997, Duffey and Romero, 2003 and the intermittent mode transformation in single-walled carbon nanotubes was predicted in (Li and Shi, 2008, Shi et al, 2009a,2009b, Shi et al, 2009c. Since many natural, bio-and engineering structures have similar geometries to cylindrical and spherical shells, the vibration mode transformation may be realised in all these structures.…”

Section: Introductionmentioning

confidence: 99%

Instability in the transformation between extensional and flexural modes in thin-walled cylindrical shells

Shi

2011

European Journal of Mechanics - A/Solids

Self Cite

View full text Add to dashboard Cite

Abstract:With the inclusion of all terms up to the third-order in the membrane strain to consider the geometric nonlinearity in deformation, a third-order implicit model and a fourth-order explicit model for the vibration transformation between extensional and flexural modes in thin-walled cylindrical shells are established and solved numerically. Numerical instability is observed in numerical solutions based on the explicit model. It is found that such numerical instability does not result from the accumulated numerical errors in the numerical integration process, but from the neglecting of higher order terms in the formulation of the problem. With the inclusion of all terms up to the fourth-order in the strain energy, the explicit model can predict a stable vibration history with periodic mode transformations between the two modes. The same 2:1 internal resonance of the vibration mode transformation is predicted by both models. As flexural stress growth is concerned, the two models matches very well during the first group of peaks but lag in phase gradually appears in later group of stress peaks based on the implicit model. This is understood to be resulting from the limited number of terms included in the series expansions based on the explicit model, which allows the most likely excited flexural mode get a larger share of energy transferred from the principle mode and as a result flexural stress arrives at peaks earlier based on the explicit model.

show abstract

Atomic-scale finite element analysis of vibration mode transformation in carbon nanorings and single-walled carbon nanotubes

Cited by 16 publications

References 28 publications

Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

A review on nanomechanical resonators and their applications in sensors and molecular transportation

Instability in the transformation between extensional and flexural modes in thin-walled cylindrical shells

Contact Info

Product

Resources

About