Free vibration analysis of size-dependent functionally graded porous cylindrical microshells in thermal environment

Ghadiri, Majid; Safarpour, Hamed

doi:10.1080/01495739.2016.1229145

Cited by 109 publications

(21 citation statements)

References 35 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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“…A similar free vibration problem was studied in [39,40] for FG cylindrical shells, by means of the sinusoidal shear deformation theory and the Rayleigh-Ritz method, accounting for the possible presence of defects and porosities. In the context of nanomaterials and nanostructures, some modified couple stress theories have been recently proposed as efficient theoretical tools to study their coupled thermomechanical vibration behavior, also in presence of different levels of porosity, see [41][42][43][44][45][46][47], among others.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of Bi-Directional Functionally Graded Porous Cylindrical Shells Embedded in an Elastic Foundation

et al. 2020

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This paper investigates the dynamic buckling of bi-directional (BD) functionally graded (FG) porous cylindrical shells for various boundary conditions, where the FG material is modeled by means of power law functions with even and uneven porosity distributions of ceramic and metal phases. The third-order shear deformation theory (TSDT) is adopted to derive the governing equations of the problem via the Hamilton’s principle. The generalized differential quadrature (GDQ) method is applied together with the Bolotin scheme as numerical strategy to solve the problem, and to draw the dynamic instability region (DIR) of the structure. A large parametric study examines the effect of different boundary conditions at the extremities of the cylindrical shell, as well as the sensitivity of the dynamic stability to different thickness-to-radius ratios, length-to-radius ratios, transverse and longitudinal power indexes, porosity volume fractions, and elastic foundation constants. Based on results, the dynamic stability of BD-FG cylindrical shells can be controlled efficiently by selecting appropriate power indexes along the desired directions. Furthermore, the DIR is highly sensitive to the porosity distribution and to the extent of transverse and longitudinal power indexes. The numerical results could be of great interest for many practical applications, as civil, mechanical or aerospace engineering, as well as for energy devices or biomedical systems.

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“…Rouhi et al (2017) have recently used the Gurtin–Murdoch elasticity theory based on surface stress effect to propose a continuum model for analyzing cylindrical nanoshell vibrations. Free vibration of a functionally graded (FG) porous cylindrical microshell subjected to a thermal environment is investigated by Ghadiri and Safarpour (2017) on the basis of the first-order shear deformation shells and the modified couple stress theories. They examined the effect of various parameters such as temperature variations on the vibration behavior of these structures.…”

Section: Introductionmentioning

confidence: 99%

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

Mahinzare

Akhavan

Ghadiri

2020

Journal of Intelligent Material Systems and Structures

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In this article, a first-order shear deformable model is expanded based on the nonlocal strain gradient theory to vibration analysis of smart nanostructures under different boundary conditions. The governing equations of motion of rotating magneto-viscoelastic functionally graded cylindrical nanoshell in the magnetic field and corresponding boundary conditions are obtained using Hamilton’s principle. To discretize the equations of motion, the generalized differential quadrature method is applied. The aim of this work is to investigate the effects of the temperature changes, nonlocal parameter, material length scale, viscoelastic coefficient, various boundary conditions, and the rotational speed of this smart structure on natural frequencies of rotating cylindrical nanoshell made of magneto-viscoelastic functionally graded material.

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Free vibration analysis of size-dependent functionally graded porous cylindrical microshells in thermal environment

Cited by 109 publications

References 35 publications

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

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

Dynamic Stability of Bi-Directional Functionally Graded Porous Cylindrical Shells Embedded in an Elastic Foundation

A nonlocal strain gradient theory for rotating thermo-mechanical characteristics on magnetically actuated viscoelastic functionally graded nanoshell

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