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

Mahinzare, Mohammad; Akhavan, Hossein; Ghadiri, Majid

doi:10.1177/1045389x20924828

Cited by 10 publications

(2 citation statements)

References 60 publications

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“…For example, Qaderi et al [ 39 ] studied cracked graphene-platelet-reinforced composite plates subjected to parametric excitation based on Eringen’s theory and the Line spring model. Mahinzare et al [ 40 ] studied the vibration of magnetically actuated viscoelastic functionally graded nanoshells based on the nonlocal strain gradient theory and FSDT. Rashidpour et al [ 41 ] perused the dynamic analysis of the viscoelastic laminated composite nanoplate using the nonlocal strain gradient theory and FSDT, applying the Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

2023

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A nonlinear static analysis of a circular/annular nanoplate on the Winkler–Pasternak elastic foundation based on the nonlocal strain gradient theory is presented in the paper. The governing equations of the graphene plate are derived using first-order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT) with nonlinear von Karman strains. The article analyses a bilayer circular/annular nanoplate on the Winkler–Pasternak elastic foundation. HSDT while providing a suitable distribution of shear stress along the thickness of the FSDT plate, eliminating the defects of the FSDT and providing good accuracy without using a shear correction factor. To solve the governing equations of the present study, the differential quadratic method (DQM) has been used. Moreover, to validate numerical solutions, the results were compared with the results from other papers. Finally, the effect of the nonlocal coefficient, strain gradient parameter, geometric dimensions, boundary conditions, and foundation elasticity on maximum non-dimensional deflection are investigated. In addition, the deflection results obtained by HSDT have been compared with the results of FSDT, and the importance of using higher-order models has been investigated. From the results, it can be observed that both strain gradient and nonlocal parameters have significant effects on reducing or increasing the dimensionless maximum deflection of the nanoplate. In addition, it is observed that by increasing load values, the importance of considering both strain gradient and nonlocal coefficients in the bending analysis of nanoplates is highlighted. Furthermore, replacing a bilayer nanoplate (considering van der Waals forces between layers) with a single-layer nanoplate (which has the same equivalent thickness as the bilayer nanoplate) is not possible when attempting to obtain exact deflection results, especially when reducing the stiffness of elastic foundations (or in higher bending loads). In addition, the single-layer nanoplate underestimates the deflection results compared to the bilayer nanoplate. Because performing the experiment at the nanoscale is difficult and molecular dynamics simulation is also time-consuming, the potential application of the present study can be expected for the analysis, design, and development of nanoscale devices, such as circular gate transistors, etc.

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Section: Introductionmentioning

confidence: 99%

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

2023

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“…Tere are various solutions for the free vibration analysis of the RCS; for example, some scholars used Galerkin's method to analyze the free vibration characteristics of the RCS [1][2][3][4][5], and the diferential quadrature method was also used to study the traveling wave properties of the free vibration for the RCS [6][7][8][9][10][11]. In addition, Ritz method was relatively simple in calculation process and could maintain high accuracy, so it was widely used in the research of vibration characteristics of RCS.…”

Section: Introductionmentioning

confidence: 99%

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Xiangdong,

Xiaoli,

Bin

et al. 2023

Shock and Vibration

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In order to improve the performance and efficiency of the rotating cylindrical shell (RCS), one of the effective ways reduces the mass of the RCS. The scientific and effective method is to design the variable thickness of RCS (VTRCS) along the axial direction in response to this demand. Then, the vibration traveling wave characteristics of VTRCS are investigated by Chebyshev–Ritz method. The displacement field of the cylindrical shell is expanded in the form of the product of the Chebyshev polynomial and the boundary function. The kinetic and potential energies of the VTRCS are calculated based on the Sanders shell theory considering the effects of Coriolis forces and centrifugal forces. Also, the frequency equation of the VTRCS is obtained according to the Ritz method. The accuracy of the modeling method is verified by comparing the present results with literature that had done, and the convergence of the calculated results is studied. Finally, the free-vibration traveling wave characteristics of the VTRCS in different thickness variations are compared, and the parameters such as the rotational speed, thickness variation parameters, and aspect ratio on the free-vibration traveling wave characteristics of the VTRCS are discussed. The influence of thickness variation on the vibration characteristics is analyzed, which has significance for the lightweight design for VTRCS.

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Magnetostriction-assisted active control of the multi-layered nanoplates: effect of the porous functionally graded facesheets on the system’s behavior

Ebrahimi

Ahari

2021

Engineering with Computers

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

Cited by 10 publications

References 60 publications

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Magnetostriction-assisted active control of the multi-layered nanoplates: effect of the porous functionally graded facesheets on the system’s behavior

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