Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method

Pour, H. Rahimi; Vossough, H.; Heydari, Mohammad Mehdi; Beygipoor, Gholamhossein; Azimzadeh, Alireza

doi:10.12989/sem.2015.54.6.1061

Cited by 5 publications

(1 citation statement)

References 24 publications

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“…These studies are limited by systems calculation. The continuum mechanics methods are often used to investigate the behaviour of micro and nano structures [19][20][21][22][23][24]. Singel and multi layer nanotube de carbone [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT)

Draoui

Zidour²,

Tounsi

et al. 2019

JNanoR

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Based on the first order shear deformation plate theory (FSDT) in the present studie, static and dynamic behavior of carbon nanotube-reinforced composite sandwich plates has been analysed. Two types of sandwich plates, namely, the sandwich with face sheet reinforced and homogeneous core and the sandwich with homogeneous face sheet and reinforced core are considered. The face sheet or core plates are reinforced by single-walled carbon nanotubes with two types of distributions of uniaxially aligned reinforcement material which uniformly (UD-CNT) and functionally graded (FG-CNT). The analytical equations are derived and the exact solutions for bending and vibration analyses of such type’s plates are obtained. The mathematical models provided and the present solutions are numerically validated by comparison with some available results in the literature. Inﬂuence of Various parameters of reinforced sandwich plates such as aspect ratios, volume fraction, types of reinforcement and plate thickness on the bending and vibration analyses of carbon nanotube-reinforced composite sandwich plates are studied and discussed. The findings suggest that the (FG-CNT) face sheet reinforced sandwich plate has a high resistance against deflections compared to other types of reinforcement. It is also revealed that the reduction in the dimensionless natural frequency is most pronounced in core reinforced sandwich plate.

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Section: Introductionmentioning

confidence: 99%

Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT)

Draoui

Zidour²,

Tounsi

et al. 2019

JNanoR

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Size-Dependent Theories of Beams, Plates and Shells

Awrejcewicz

Krysko

Zhigalov

et al. 2020

Advanced Structured Materials

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A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

324

126

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This paper presents a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures. The review mainly focus on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory due to their common use in predicting the global behaviour of small-scale structures. In each higher-order continuum theory, various size-dependent models based on the classical theory, first-order shear deformation theory and higher-order shear deformation theory were reviewed and discussed. In addition, the development of finite element solutions for size-dependent analysis of beams and plates was also highlighted. Finally a summary and recommendations for future research are presented. It is hoped that this review paper will provide current knowledge on the development of higher-order continuum models and inspire further applications of these models in predicting the behaviour of micro-and nano-structures.

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Nonlinear vibration analysis of a nonlocal sinusoidal shear deformation carbon nanotube using differential quadrature method

Cited by 5 publications

References 24 publications

Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT)

Static and Dynamic Behavior of Nanotubes-Reinforced Sandwich Plates Using (FSDT)

Size-Dependent Theories of Beams, Plates and Shells

A review of continuum mechanics models for size-dependent analysis of beams and plates

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