The thermal effect on vibration of zigzag single walled carbon nanotubes using nonlocal Timoshenko beam theory

Zidour, Mohamed; Benrahou, Kouider Halim; Semmah, Abdelwahed; Naceri, Mokhtar; Belhadj, Hichem Abdesselem; Bakhti, Karima; Tounsi, Abdelouahed

doi:10.1016/j.commatsci.2011.07.021

Cited by 52 publications

(15 citation statements)

References 59 publications

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“…Lu et al [85] overcame this limitation in their consistent nonlocal TBT model in which the nonlocal effect was included in both normal and transverse shear stresses. [92] and Zidour et al [93] included the thermal effect on the vibration of SWCNTs, whilst Ansari et al [94] included the thermal effect on the dynamic stability of embedded MWCNTs. Ansari et al [95] developed a nonlocal TBT model for the nonlinear forced vibration of magneto-electro-thermo-elastic nanobeams.…”

Section: Nonlocal Models Based On the Tbtmentioning

confidence: 99%

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

Thai

Nguyen

et al. 2017

Composite Structures

316

112

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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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Section: Nonlocal Models Based On the Tbtmentioning

confidence: 99%

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

Thai

Nguyen

et al. 2017

Composite Structures

316

112

View full text Add to dashboard Cite

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“…A few other models can be found in the literature for vibration modeling of CNTRs considering thermal effects. Mustapha and Zhong, 60 Askari et al, 88 Ansari and Ramezannezhad, 89 Maachou et al, 90 Zidour et al, 91 Chen et al, 92 and Chang 93 have investigated thermal effect on the vibrations of CNTRs. Table 5 presents the mathematical models of CNTRs considering thermal effect which have been developed by the above-mentioned researchers.…”

Section: Thermal Effectmentioning

confidence: 99%

Nonlocal effect in carbon nanotube resonators: A comprehensive review

Argani

Younesian

Esmailzadeh

et al. 2017

Advances in Mechanical Engineering

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This article provides a comprehensive review about the use of nonlocal theory in modeling of the vibrations of the carbon nanotube resonators. It is fully described how the nonlocal effect has been exploited by researchers to mathematically model vibrations of carbon nanotube resonators. Fusion of different classical beam theories with nonlocal theory is discussed. Also, the article presents the combination of nonlocal models with different physical phenomena which have influence in the vibrations of carbon nanotube resonators.

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“…Eltaher et al (2012) studied free vibration of functionally graded size dependent nanobeams. Free vibration of SWCNTs has been investigated based on nonlocal Levinson beam theory (Maachou et al 2011) and Timoshenko beam theory (Zidour et al 2012;Benzair et al 2008) in thermal environment by employing analytical solution for simply supported edge condition. Authors found that vibration characteristics are strongly dependent on temperature change.…”

Section: Vibrationmentioning

confidence: 99%