Thermal effect on the dynamic behavior of nanobeam resonator assuming size-dependent higher-order strain gradient theory

Pradiptya, Iswan; Ouakad, Hassen M.

doi:10.1007/s00542-017-3671-7

Cited by 15 publications

(10 citation statements)

References 46 publications

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“…where D = (D x , D z ) and B = (B x , B z ) are electrical displacement and magnetic induction vectors, respectively. Nanoresonators are typical applications that utilize the inverse piezoelectric effect of MEE materials (Pradiptya and Ouakad, 2018). A DC power source injects electricity into the nanobeams to form a stable potential energy difference, which generates mechanical oscillations in the nanobeam.…”

Section: Mechanical Modelmentioning

confidence: 99%

Steady-state forced vibrations of magneto-electro-elastic Timoshenko nanobeams

Wang

et al. 2022

Journal of Intelligent Material Systems and Structures

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This paper aims to investigate forced vibrations of Timoshenko nanobeam, which is under axially loaded. The material is assumed to be magneto-electro-elastic coupling and surface effect is considered. The governing equations and the corresponding boundary conditions are derived, with the Hamilton principle. For steady-state forced vibrations, the variable separation and the Laplace transform methods are employed to obtain the Green’s function, for three typical kinds of beams, namely Hinged-Hinged, Clamped-Clamped, and Clamped-Free. Numerical examples are performed to check the validity of the present solutions and to evaluate the influence of magneto-electric coupling and surface effect on the forced vibration of the beams.

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Section: Mechanical Modelmentioning

confidence: 99%

Steady-state forced vibrations of magneto-electro-elastic Timoshenko nanobeams

Wang

et al. 2022

Journal of Intelligent Material Systems and Structures

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“…The book states that economic development should focus on ecological and environmental protection, instead of using a large amount of energy consumption and carbon dioxide emissions. In exchange for economic growth [25], it is necessary to change the economic growth mode based on fossil fuels such as coal and use more clean energy such as solar energy, wind energy, and tidal energy. This economic growth model of "low energy consumption, low pollution, low emissions" and "high efficiency, high efficiency, and high efficiency" three lows and three highs has attracted global attention and attention.…”

Section: Low-carbon Economic Theorymentioning

confidence: 99%

Carbon emission factor decomposition and carbon peak prediction based on multi-objective decision and information fusion processing

Shi

Feng

2021

EURASIP J. Adv. Signal Process.

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Global warming caused by excessive carbon dioxide emissions has seriously threatened the sustainable development of human society. How to reduce carbon dioxide emissions has become a common problem faced by the international community. This article aims to study the decomposition of carbon emission factors and the prediction of carbon peaks from the perspective of multi-objective decision-making and information fusion processing. The sample collection method and statistical analysis method are used to collect samples and simplify the algorithm. A collection experiment of carbon emission factors based on the industry of City A is designed. The experimental data collection takes into account the conversion of coal and oil products into standard coal and carbon dioxide the resulting emissions impact. The experimental results in this paper show that the simulated and real values of my country’s petroleum carbon emissions have both increased from 2000 to 2015, and the decline will be controlled in 2017. Both the simulated value and the real value of my country's coal carbon emissions have been on the rise from 2000 to 2015, and the decline will be controlled in 2017. The carbon emissions of coal are far greater than those of petroleum. The research on carbon emission factor decomposition and carbon peak prediction based on multi-objective decision-making and information fusion processing has been completed well. The research results can be used for industrial carbon emission factor decomposition and carbon peak prediction in other cities across the country.

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“…However, the application of classical continuum models at nano scale often leads to inaccurate results. 15 Hence, the nonclassical theories that consider the small-scale effects such as nonlocal elasticity theory, 16 couple stress theory, [17][18][19][20] and strain gradient theory [21][22][23][24][25] have been developed by researchers. It should be emphasized that for employing these theories, the small-scale parameters must be specified through a calibration process, and the experimental results are the main source for this task.…”

Section: Introductionmentioning

confidence: 99%

Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

Mohammadian

2022

Math Methods in App Sciences

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In recent years, nonlocal strain gradient theory (NSGT) has been widely applied by researchers for the analysis of nanostructures. In this theory, the appropriate selection of small‐scale parameters and the type of high‐order boundary conditions is of great importance. In the current paper, free vibrations of carbon nanotubes are studied using a nonlocal strain gradient Timoshenko beam model, and the small‐scale parameters are calibrated based on the molecular dynamics (MD) results. The calibration process is conducted by defining an optimization problem, and the genetic algorithm is applied for obtaining the best values of the small‐scale parameters. The governing equations are derived based on Hamilton's principle and solved analytically using the modified Fourier series method. The variational consistent high‐order boundary conditions are obtained applying the weighted residual approach. The small‐scale parameters are calibrated for the first three natural frequencies considering two different boundary conditions. Moreover, the type of high‐order boundary conditions that is more consistent with the MD results is determined. The outcomes of this paper provide an appropriate reference for researchers who are using the NSGT for the analysis of micro/nanobeams.

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Thermal effect on the dynamic behavior of nanobeam resonator assuming size-dependent higher-order strain gradient theory

Cited by 15 publications

References 46 publications

Steady-state forced vibrations of magneto-electro-elastic Timoshenko nanobeams

Steady-state forced vibrations of magneto-electro-elastic Timoshenko nanobeams

Carbon emission factor decomposition and carbon peak prediction based on multi-objective decision and information fusion processing

Application of the modified Fourier series method and the genetic algorithm for calibration of small‐scale parameters in the nonlocal strain gradient nanobeams

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