Effect of distributed axial loading on dynamic stability and buckling analysis of a viscoelastic DWCNT conveying viscous fluid flow

Mohammadi, Kianoosh; Barouti, Mohammad Mostafa; Safarpour, Hamed; Ghadiri, Majid

doi:10.1007/s40430-019-1591-4

Cited by 28 publications

(3 citation statements)

References 70 publications

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“…Safarpour et al [70] presented an exact numerical method for the investigation of buckling, free, and forced vibration of an FG circular nanoshell in a thermal site. In the field of stability analysis of the structures, Safarpour et al [71][72][73][74][75][76][77][78][79][80][81][82][83] presented buckling/vibrational analysis of the structures with various geometrical parameters. In the field of the vibrational and buckling characteristics of the piezoelectric circular micro/nanoplate, Wang et al [84] focused on the nonlinear dynamic responses of the size-dependent circular plate which is actuated with the piezoelectric part and considered as a thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

et al. 2020

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This is the first research on the frequency analysis of a graphene nanoplatelet composite (GPLRC) microdisk in the framework of a numerical-based generalized differential quadrature method. The stresses and strains are obtained using the higher-order shear deformable theory. Rule of mixture is employed to obtain varying mass density, thermal expansion, and Poisson's ratio, while module of elasticity is computed by modified Halpin-Tsai model. Governing equations and boundary conditions of the GPLRC microdisk covered with piezoelectric layer are obtained by implementing Hamilton's principle. Regarding perfect bonding between the piezoelectric layer and core, the compatibility conditions are derived. In addition, due to the existence of piezoelectric layer, Maxwell's equation is derived. The results show that outer-to-inner ratio of radius (R o /R i ), ratios of length scale and nonlocal to thickness (l/h and μ/h), ratio of piezoelectric to core thickness (h p /h), applied voltage, and GPL weight fraction (g GPL ) have significant influence on the frequency characteristics of the GPLRC microdisk. Another important consequence is that in addition to the nonlinear indirect effects of applied voltage on the natural frequency of the GPLRC microdisk covered with piezoelectric for each specific value of R o /R i , the impact of the R o /R i on the natural frequency is indirect. A useful suggestion of this research is that, for designing the GPLRC circular microplate at the low value of the R o /R i should be more attention to the g GPL and R o /R i , simultaneously.

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Section: Introductionmentioning

confidence: 99%

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

et al. 2020

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“…Chakraborty et al 58 carried out vibration analysis of pre-buckled and post-buckled CNT-reinforced composite cylindrical shell panel with isotropic matrix using HSDT and considering von Kármán nonlinearity in order to obtain associated equations of motion and employed Galerkin’s method to solve the equations. In addition, Safarpour and colleagues, 59–72 Hosseini et al 73 and Habibi and colleagues 74,75 investigated the stability/instability analysis of the complex micro/nanostructures with the aid of analytical and numerical methods. In addition, the nonlinear free and forced vibration of composite structures have been investigated in many researches.…”

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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“…The results confirmed the high dependency of the dynamic performance of the circular plate to spinning load and externally applied voltage. In the field of structural stability analysis, Safarpour et al [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68] presented buckling and vibrational analysis of the structures with various geometrical parameters.…”

Section: Introductionmentioning

confidence: 99%

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

et al. 2020

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In this study, critical temperature and frequency characteristics of a doubly curved panel are reinforced by graphene nanoplatelets (GPLs) with the aid of a two-dimensional generalized differential quadrature method (2D-GDQM) are investigated. The size effects are included using nonlocal strain gradient theory (NSGT) that has two length scale parameters, and the panel is modeled as a panel using high order shear deformation theory (HSDT). The mechanical properties of GPLs are calculated based on the rule of mixtures and the modified Halpin–Tsai model. The novelty of the current study is in considering the effects of the thermal environment, various boundary conditions, and size effects on the frequency and critical temperature of the GPLRC panel. The validation is performed through the comparison of the numerical results for the frequency of the GPLRC panel and the literature. For more verification, a finite element model is presented using the finite element package to simulate the response of the current structure. The results created from a finite element simulation illustrate a close agreement with the numerical method results. The results demonstrate that GPLs’ weight function, the ratio of panel curvature (R1/R2), GPLs’ pattern, and size-dependent parameters have noticeable effects on the frequency and critical temperature characteristics of the GPLs-reinforced composite (GPLRC) curved panel. The favorable suggestion of this survey is that when designing the GPLRC structure, special attention should be paid to size-dependent parameters because the nonlocal and length scale parameters have an essential role in the static and dynamic behaviors of the GPLRC panel.

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Effect of distributed axial loading on dynamic stability and buckling analysis of a viscoelastic DWCNT conveying viscous fluid flow

Cited by 28 publications

References 70 publications

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

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

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

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