Effect of Porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures

Pourjabari, Amin; Hajilak, Zanyar Esmailpoor; Mohammadi, Alireza; Habibi, Mostafa; Safarpour, Hamed

doi:10.1016/j.camwa.2018.12.041

Cited by 100 publications

(20 citation statements)

References 67 publications

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“…Also, the dimensionless critical loads of the GPLRC nanoshell with both the analytical method and GDQM are studied in Table 4 for different materials. As another verification, Table 5 compares the natural frequencies versus different patterns of the GPL of the simply supported cylindrical nanoshell of the present study with those reported by Pourjabari et al. (2019).…”

Section: Resultssupporting

confidence: 62%

“…To derive the equations of motion and BCs for the FG cylindrical shell, using NSGT and the FSDT, one must insert the displacement components into the strains. Now, substituting equation (9) into strain equations (Pourjabari et al., 2019), the components of the strain tensor can be extracted as follows …”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Modified couple stress theory is a high order continuum theory which considers the size effects using length scale parameters. In the field of stability analysis of the GPLRC structures, researchers have widely paid attention to the effects of various parameters on the dynamic stability of submicron shells (Mohammadimehr et al., 2016; Ebrahimi et al., 2018; Safarpour et al., 2018b; Farokhi and Ghayesh, 2018; Esmailpoor Hajilak et al., 2019; Habibi et al., 2019; Pourjabari et al., 2019). In the field of critical temperature of the cylindrical shell structures, Shahsiah and Eslami (2003), Mirzavand et al.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Buckling and frequency analysis of the nonlocal strain–stress gradient shell reinforced with graphene nanoplatelets

Mohammadgholiha

Shokrgozar

Habibi

et al. 2019

Journal of Vibration and Control

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In this study, buckling and vibrational characteristics of a nanoshell reinforced with graphene nanoplatelets under uniform axial load are investigated. The material properties of the piece-wise graphene-reinforced composites (GPLRCs) are assumed to be graded in the thickness direction of a nanoshell and are estimated using a nanomechanical model. The effects of the small scale are analyzed based on nonlocal stress–strain gradient theory (NSGT). The governing equations and boundary conditions (BCs) are developed using Hamilton’s principle and are solved with assistance of the generalized differential quadrature method. The novelty of the current study is the consideration of GPLRC and size effect as well as satisfying various boundary conditions implemented on the proposed model using NSGT. The results show that, nonlocal parameter, graphene platelet (GPL) distribution pattern, length scale parameter, number of layers, and GPL weight function have significant influence on the buckling and natural frequency of the GPLRC nanoshell. Another significant result is that nonlocal parameter does not have any effect on the buckling load for each BC. The results of the current study are useful for design of the nanoactuators and nanosensors.

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Section: Resultssupporting

confidence: 62%

Section: Mathematical Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Buckling and frequency analysis of the nonlocal strain–stress gradient shell reinforced with graphene nanoplatelets

Mohammadgholiha

Shokrgozar

Habibi

et al. 2019

Journal of Vibration and Control

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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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“…Due to the never ending attitude of technology for improving the mechanical properties and operation of the structures, 1–6 Graphene platelet (GPL) reinforcement gain the attention of scientists for providing an enthusiastic enhancement in design of the applicable composite structures. 7–12 In the field of improving the mechanical properties, enhancing the elastoplastic stability and instability of sheet metal are presented in some researches with the aid of experimental and finite element method. 1,13–26 Sun and Zhao 27 compared the fracture behavior of the functionally graded (FG) cemented carbide reinforced with and without the GPL.…”

Section: Introductionmentioning

confidence: 99%

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

Jalali

Shavalipour

Safarpour

et al. 2020

The Journal of Strain Analysis for Engineering Design

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The main point of the current study is that the frequency analysis of a graphene platelets–reinforced composite (GPLRC) imperfect panel covered with piezoelectric sensor and actuator (PISA) based on the 3D elasticity theory is investigated. Rule of mixture is employed to obtain varying mass density and Poisson’s ratio, while module of elasticity is computed by modified Halpin-Tsai model. The governing equations are obtained using the 3D elasticity theory. By using Fourier series expansion along the longitudinal and latitudinal directions for the stress and displacement fields, a closed form solution is derived. The novelty of the current study is the consideration of the GPLRC panel and PISA, as well as imperfection are implemented on the proposed model using theory of 3D elasticity. Due to perfect bonding between piezoelectric layers and core the compatibility conditions are derived. Finally, influences of PISA thickness, graphene platelet (GPL) distribution pattern, porosity, span angle of panel, number of layers and GPL weight function on the dynamic stability of the GPLRC smart imperfect panel are presented. Another important consequence is that the sandwich panels with lower span angle have better natural frequency. In other words, to obtain desirable frequency response using structures which their shape is similar to GPLRC plate is more recommended than those resemble to GPLRC cylindrical shell.

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Effect of Porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures

Cited by 100 publications

References 67 publications

Buckling and frequency analysis of the nonlocal strain–stress gradient shell reinforced with graphene nanoplatelets

Buckling and frequency analysis of the nonlocal strain–stress gradient shell reinforced with graphene nanoplatelets

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

Frequency analysis of a graphene platelet–reinforced imperfect cylindrical panel covered with piezoelectric sensor and actuator

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