Modal identification of single layer graphene nano sheets from ambient responses using frequency domain decomposition

Sadeghzadeh, Sadegh; Khatibi, Mohammad Mahdi

doi:10.1016/j.euromechsol.2017.03.009

Cited by 22 publications

(14 citation statements)

References 44 publications

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“…Besides, the implementation of Monte Carlo based finite element method is expressed in computational program after the validation of deterministic beam finite element model. Good agreement is reached in the present model and reported literatures [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ] for the vibration analysis of graphene sheets. The discussion extensively consists of the effect of amount of vacancy defects and geometrical and material parameters in the natural frequencies of vacancy defected graphene sheets.…”

Section: Introductionsupporting

confidence: 89%

Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method

2018

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The stochastic distributed placement of vacancy defects has evident effects on graphene mechanical property, which is a crucial and challenged issue in the field of nanomaterial. Different from the molecular dynamic theory and continuum mechanics theory, the Monte Carlo based finite element method (MC-FEM) was proposed and performed to simulate vibration behavior of vacancy defected graphene. Based on the Monte Carlo simulation, the difficulties in random distributed location of vacancy defects were well overcome. The beam element was chosen to represent the exact atomic lattice of the graphene. The results of MC-FEM have a satisfied agreement with that in the reported references. The natural frequencies in the certain vibration mode were captured to observe the mechanical property of vacancy defected graphene sheets. The discussion about the parameters corresponding with geometry and material property was accomplished by probability theory and mathematical statistics.

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Section: Introductionsupporting

confidence: 89%

Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method

2018

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“…Parameters of mechanical properties and natural frequencies in[34][35][36][37][38][39][40][41][42] and the present study.…”

supporting

confidence: 55%

“…The remaining parts of this article are structured as follows: in Section 2, there are a clear introduction about the lattice structure model of graphene, the mathematical foundation of the MCS, and the program design of the proposed MC-FEM. In Section 3, the beam finite element model (FEM) of pristine graphene sheets is verified by comparing with the results in literatures [34][35][36][37][38][39][40][41][42]. Section 4 provides the discussion about the influence of vacancy defects in the vibration behavior of graphene.…”

Section: Introductionmentioning

confidence: 97%

Monte Carlo-Based Finite Element Method for the Study of Randomly Distributed Vacancy Defects in Graphene Sheets

Chu

Shi

Cursi

et al. 2018

Journal of Nanomaterials

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This paper proposed an effective stochastic finite element method for the study of randomly distributed vacancy defects in graphene sheets. The honeycomb lattice of graphene is represented by beam finite elements. The simulation results of the pristine graphene are in accordance with literatures. The randomly dispersed vacancies are propagated and performed in graphene by integrating Monte Carlo simulation (MCS) with the beam finite element model (FEM). The results present that the natural frequencies of different vibration modes decrease with the augment of the vacancy defect amount. When the vacancy defect reaches 5%, the regularity and geometrical symmetry of displacement and rotation in vibration behavior are obviously damaged. In addition, with the raise of vacancy defects, the random dispersion position of vacancy defects increases the variance in natural frequencies. The probability density distributions of natural frequencies are close to the Gaussian and Weibull distributions.

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“…The statistic results of the Monte Carlos simulation in the self-adaptive umbrella model for graphene are compared with the reported results in literatures [37,38,39,40,41,42,43] in Table 4. Among them, Wei [37], Liu [40] and Kudin [41] applied the density functional theory; Gupta [38] and Khattibi [39] used the molecular dynamics; and molecular mechanics are performed by Reddy [18], Cadelano [42] and Chu [43]. The maximum, minimum, mean values, and variances of resonant frequencies of the umbrella model in the Monte Carlo simulation are provided.…”

Section: Resultsmentioning

confidence: 99%

A Self-Adaptive Umbrella Model for Vibration Analysis of Graphene

Chu

Shi

et al. 2018

Materials

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The beam finite element and molecular dynamics models are two popular methods to represent the reaction of carbon-carbon bonds in graphene. However, the wrinkles and ripples in geometrical characteristics are difficult take into consideration. The out-planar mechanical properties are neglected in classical models of graphene. This paper proposes a self-adaptive umbrella model for vibration analysis of graphene. The parameters in the umbrella model are flexible to adapting the geometrical and material characteristics of graphene. The umbrella model consists of shell and beam elements. The honeycomb beam and planar shell model of graphene are included in the self-adaptive umbrella model as particular cases. The sensitivity analysis and results confirmed the rationality and feasibility of the self-adaptive umbrella model.

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Modal identification of single layer graphene nano sheets from ambient responses using frequency domain decomposition

Cited by 22 publications

References 44 publications

Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method

Vibration Analysis of Vacancy Defected Graphene Sheets by Monte Carlo Based Finite Element Method

Monte Carlo-Based Finite Element Method for the Study of Randomly Distributed Vacancy Defects in Graphene Sheets

A Self-Adaptive Umbrella Model for Vibration Analysis of Graphene

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