Nonlinear membrane model for large amplitude vibration of single layer graphene sheets

Mianroodi, Jaber Rezaei; Niaki, Sina Amini; Naghdabadi, R.; Asghari, Mohsen

doi:10.1088/0957-4484/22/30/305703

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Introduction3

Modal Equivalent Criterion1

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2021

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Cited by 47 publications

(14 citation statements)

References 27 publications

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“…7 Mianroodi et al have documented the large amplitude vibrational properties of single-layered graphene sheets by using a nonlinear membrane model. 8 These results have shown the applicability of single-layered graphene sheets as nano electromechanical resonators.…”

mentioning

confidence: 71%

Thermal vibration of a rectangular single-layered graphene sheet with quantum effects

Wang

2014

Journal of Applied Physics

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mentioning

confidence: 71%

Thermal vibration of a rectangular single-layered graphene sheet with quantum effects

Wang

2014

Journal of Applied Physics

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“…Comparing Eqs. (10) and (14), which are the frequency expressions of the original full-area membrane and the alternative grid membrane, one can yield the equivalent criterion as follows:…”

Section: Modal Equivalent Criterionmentioning

confidence: 99%

Modal equivalent method of full-area membrane and grid membrane

Zhang

Chen

Xie³

et al. 2018

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Pre-tension rectangular membrane is a promising structure in space engineering due to lightweight, high area-to-weight ratio and excellent folding capability. However, its dynamic characteristic of ground experiment can be largely affected by air, meaning the vibration behavior in air is quite different from the behavior in orbit vacuum. Therefore, a grid membrane is explored as the alternative structure, which can be less affected by air. Based on the small deformation theory, a modal equivalent method is established to make the natural frequencies and vibration modes of the original full-area membrane and the alternative grid membrane identical. A finite element code is utilized to verify this method, and the modals of the two structures are basically same. Meanwhile, a fluid-structure coupling simulation is conducted. The result indicates that the air effect on the alternative grid membrane is quite small compared with the original full-area membrane. Consequently, this grid membrane can be used as the alternative structure of the full-area membrane, as a mean to reduce the air effects in a ground structure experiment.

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“…Rezaei Mianroodi et al [23] studied the nonlinear vibrational properties of single layer graphene sheets using a membrane model. The nonlinear equation of motion was obtained for graphene including the effects of stretching due to large amplitudes.…”

Section: Introductionmentioning

confidence: 99%