Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

Zeighampour, Hamid; Shojaeian, Milad

doi:10.1007/s40430-017-0770-4

Cited by 18 publications

(6 citation statements)

References 41 publications

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“…Governing equations for a cylindrical shell based on the FSDT and nonlocal strain gradient theory are derived by substituting Eqs. (20), (23) and (24) into Eq. (19) and integrating by parts.…”

Section: Kinetic Energy 28 Strain Energymentioning

confidence: 99%

“…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%

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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: Kinetic Energy 28 Strain Energymentioning

confidence: 99%

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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“…The material length scale parameter of the FGM was considered constant in many of the previous studies [43][44][45][46][47]; however, this parameter is a physical property of the FGM and must vary throughout the material, similar to its other properties. In this research, the changes in this parameter along the length and thickness were approximated using equation (10).…”

Section: Mathematical Formulation 21 Analytical Methodsmentioning

confidence: 99%

Size-dependent bending and buckling of two-dimensional functionally graded microplates, an artificial neural network approach

Taghizadeh,

Mahdavian,

Askari

2023

Phys. Scr.

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The main goal of the present study is to focus on the application of artificial neural network (ANN) in predicting the bending and buckling behaviors of size-dependent small-scale micro-plates. To this end, the recently introduced thick microplates made of two-dimensional functionally graded materials (2D-FGM) with simply supported boundary conditions are considered. Adopting the modified couple stress and third-order shear deformation theories together with the Ritz method, the bending and buckling ANN models, including nine and ten input variables, are trained by two databases containing 8842 and 9980 random data for each of these two analyses, respectively. The selected network has six hidden layers, each of them contains 32 nodes. Employing the present ANN model, whose determination coefficient is 98.6%, the variation of microplate deflection and its buckling load versus the input variables are investigated. It is observed that despite the long run-time and the complexities involved in the solution procedures associated with the governing equilibrium and eigenvalue equations, the ANN models enjoy fast and accurate predictions. The rest of the present work is devoted to optimizing the geometric and material variables of a 2D-FGM microplate with respect to the buckling load via the genetic algorithm (GA) method whose fitness function is evaluated by the trained ANN. The results reveal that the combination of the ANN and GA can be treated as a promising tool for optimizing the geometric and material parameters of a 2D-FGM microplate regarding its buckling load.

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“…In equation (5), l is the additional and independent MLS parameters associated with the symmetric rotation gradients. Also, in equation ( 5),  represents the shear modulus and is defined as [31]:…”

Section: Modified Couple Stress Theorymentioning

confidence: 99%

Buckling analysis of sandwich cylindrical micro shells with functionally graded porous core subjected to uniform magneto-electric fields based on couple stress theory

Mohammed

Biglari

Tahami

2023

Preprint

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This study examines the buckling behavior of sandwich cylindrical microshells made of functionally graded materials under uniform magneto-electric load. The analysis utilizes a high-order shear and normal deformation shell theory, incorporating a material length scale parameter from the couple stress theory. Hamilton's principle is used to derive the equations of motion and boundary conditions at both ends. The Navier procedure is employed to determine the dimensionless critical buckling load for three types of functionally graded sandwich cylindrical microshells, with a vector used to represent the uniform magneto-electric fields at both ends. Results indicate that angled functionally graded sandwich cylindrical microshells exhibit higher stiffness in couple stress theory than in normal FGS, resulting in an increased dimensionless critical buckling load. Moreover, the material length scale parameter has a significant impact on the dimensionless critical buckling load across various axial and circumferential wavenumbers. An increase in power-law index n for specific values of dimensionless length scale parameter (l/h) leads to a decrease in DCB load according to MCST.

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Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

Cited by 18 publications

References 41 publications

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

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

Size-dependent bending and buckling of two-dimensional functionally graded microplates, an artificial neural network approach

Buckling analysis of sandwich cylindrical micro shells with functionally graded porous core subjected to uniform magneto-electric fields based on couple stress theory

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