Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory

Safarpour, Hamed; Ghanizadeh, Seyed Ali; Habibi, Mostafa

doi:10.1140/epjp/i2018-12385-2

Cited by 91 publications

(17 citation statements)

References 30 publications

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“…As classical theory does not consider submicron discontinuities of structure, so it cannot capture size-dependent effects when scale turns to micro or nano. Size-dependent theories including nonlocal [22][23][24][25][26][27][28][29][30], strain gradient [31,32] and couple stress [33][34][35][36][37][38] theories are better choices and present more accurate outputs in these cases. It should be noted that mentioned theories consist of size-dependent parameters which their exact values must be determined by experimental data or numerical simulations [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell

Habibi

Mohammadgholiha

Safarpour

2019

J Braz. Soc. Mech. Sci. Eng.

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In this article, wave propagation characteristics of a size-dependent graphene nanoplatelet (GNP) reinforced composite cylindrical nanoshell coupled with piezoelectric actuator (PIAC) and surrounded with viscoelastic foundation is presented. The effects of small scale are analyzed based on nonlocal strain gradient theory (NSGT) which is an accurate theory employing exact length scale parameter and nonlocal constant. The governing equations of the GNP composite cylindrical nanoshell coupled with PIAC have been evolved using Hamilton's principle and solved with assistance of the analytical method. For the first time in the current study, wave propagation electrical behavior of a GNP composite cylindrical nanoshell coupled with PIAC based on NSGT is examined. The results show that, by decreasing the PIAC thickness, extremum values of phase velocity occur in the lower values of the wave number. Another important result is that, by increasing GPL%, the effects of PIAC thickness on the phase velocity decrease. Finally, influence of PIAC thickness, wave number, applied voltage, and different GPL distribution patterns on phase velocity is investigated using mentioned continuum mechanics theory. Useful suggestion of this research is that for designing of a nanostructure coupled with PIAC attention should be given to PIAC thickness and applied voltage, simultaneously. The outputs of the current study can be used in the structural health monitoring and ultrasonic inspection techniques.

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Section: Introductionmentioning

confidence: 99%

Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell

Habibi

Mohammadgholiha

Safarpour

2019

J Braz. Soc. Mech. Sci. Eng.

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“…It is assumed that the temperature varies linearly along the thickness from Tm at the outer surface to Tc at the inner surface. The temperature variations can be written as follows 20 where Δ T is defined as ΔT=Tc-Tm.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…In the field of cylindrical shell structures under thermal loadings, Safarpour et al., 20 Tourang et al., 21 Ebrahimi et al., 22 and Safarpour et al. 23 presented thermal and mechanical buckling of cylindrical FGM shells under the effect of geometrical imperfections with different types of loadings.…”

Section: Introductionmentioning

confidence: 99%

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Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator

Shokrgozar

Safarpour

Habibi

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this research, buckling and vibrational characteristics of a spinning cylindrical moderately thick shell covered with piezoelectric actuator carrying spring-mass systems are performed. This structure rotates about axial direction and the formulations include the Coriolis and centrifugal effects. In addition, various cases of thermal (uniform, linear, and nonlinear) distributions are studied. The modeled cylindrical moderately thick shell covered with piezoelectric actuator, its equations of motion, and boundary conditions are derived by the Hamilton's principle and based on a moderately cylindrical thick shell theory. For the first time in the present study, attached mass-spring systems has been considered in the rotating cylindrical moderately thick shells covered with piezoelectric actuator. The accuracy of the presented model is verified with previous studies. The novelty of the current study is consideration of the applied voltage, rotation, various temperature distributions, and mass-spring systems implemented on proposed model using moderately cylindrical thick shell theory. Generalized differential quadrature method is examined to discretize the model and to approximate the governing equations. In this study, the simply supported conditions have been applied to edges [Formula: see text] and cantilever (clamped–free) boundary conditions has been studied in x = 0, L, respectively. Finally, the effects of the applied voltage, angular velocity, temperature changes, and spring-mass systems on the critical voltage, critical angular speed, critical temperature, and natural frequency of the structure are investigated.

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“…By reviewing the existing research results, it can be known that, in terms of research methods, most of the literature research focuses on the identification of rareearth environmental regulatory indicators, the establishment of evaluation systems, and cost quantification [22]. Few studies have analyzed rare-earth mines from a game perspective, as well as the relative lack of research on the influencing factors of environmental protection consciousness and execution ability of mining enterprises [23,24]. Although there have been related environmental regulation studies using game theory, the research methods are mostly static games, and few studies have established simulation dynamic models.…”

Section: Introductionmentioning

confidence: 99%

Research on Ecological Restoration Mechanism of Rare‐Earth Mines Based on Evolutionary Game

Gao

Xue

2020

Advances in Materials Science and Engineering

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With the continuous improvement of the rare earth’s international status, the status of rare Chinese earth has gradually become prominent all over the world. When China enjoys the advantages of large reserves of rare-earth resources, at the same time, Chinese rare-earth enterprises are lagging in technology and lacking innovation capabilities. The rare-earth industry is mainly concentrated on the separation and smelting process, which has an indelible impact on the ecological environment around the mine. Some scholars have carried out research on ecological restoration in mining areas, but there are few studies on interest subjects in ecological restoration work in mining areas, especially the research based on game theory is more scarce. This article constructs a trilateral evolutionary game model of the central, local governments, and mining enterprises. This article analyzes the impact mechanism of policy changes on the rare-earth mining industry and analyzes the three-party evolutionary game model by adjusting the values of external variables. The research shows that the central government’s subsidies to local enterprises, the central government’s performance evaluation to the government, the local government’s punishment to enterprises, and the local enterprise’s reproduction income are important factors that determine the evolution of the trilateral game. Therefore, the central government should strengthen the supervision of local governments and enterprises when formulating policies related to the rare-earth industry, and local governments should strengthen their own management and local environmental regulations.

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Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory

Cited by 91 publications

References 30 publications

Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell

Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell

Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator

Research on Ecological Restoration Mechanism of Rare‐Earth Mines Based on Evolutionary Game

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