Free vibration and buckling analyses of FG porous sandwich curved microbeams in thermal environment under magnetic field based on modified couple stress theory

Arshid, Ehsan; Arshid, Hossein; Amir, Saeed; Mousavi, Samira

doi:10.1007/s43452-020-00150-x

Cited by 60 publications

(11 citation statements)

References 69 publications

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“…Here, l = lT, and the coefficients C 1 and C 2 represent the dimensionless power constants. Substituting equations (35) and ( 37) into (30), the governing equation of motion is transformed to a dimensionless form as:…”

Section: Problem Definitionmentioning

confidence: 99%

“…Mohammadi and Fooladi Mahani 29 employed MCST and SGT to determine the buckling loads in Kirchhoff micro-plates. Similarly, the free vibration and thermal buckling of curved micro-beams made of FG porous sandwiches subjected to a magnetic field in thermal environments were examined (using MCST) by Attar et al 30 Moreover, the finite element method (FEM) was used by Zhang et al 31 to investigate the free vibration, bending, and buckling of Mindlin micro-plates based on MCST.…”

Section: Introductionmentioning

confidence: 99%

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Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory

Alizadeh

Shishesaz

Shahrooi

et al. 2022

The Journal of Strain Analysis for Engineering Design

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This paper investigates the vibrational behavior of a viscoelastic and size-dependent nano-disk based on the modified couple stress theory (MCST). The material characteristics in nano-scale are modeled according to Zener viscoelastic constitutive relation. In addition, displacement components are defined based on classical plate theory. Leaderman integral is also used to determine the viscous parts of the stress tensor. Hamilton’s principle is utilized to derive the governing equations of motion for specifying the strain, kinetic energy, and viscous work. The obtained equations are discretized with the help of the Galerkin method and decoupled through the diagonalization procedure. Laplace transformation is employed to solve the resulting equations in differential–integral form. The damping ratio, the imaginary part and real part of the Eigen frequency of the considered nano-disk are calculated to investigate the effects of influential parameters on the nano-disk vibrational behavior. These parameters include nonlocal parameter boundary conditions, geometric constant, power constant, and element relaxation coefficient. Results obtained on different mode shapes indicate that increasing the dimensionless element relaxation coefficient is followed by a decrease in the imaginary part of the Eigen frequency regarding the energy dissipation as well as a decrease in the real part of the Eigen frequency. Furthermore, increasing the h/l ratio is accompanied by variations in the imaginary part, real part, and damping ratio. According to the results, the effect of damping on vibrational behavior of the nano disk is more distinguished for smaller values of h/l.

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Section: Problem Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory

Alizadeh

Shishesaz

Shahrooi

et al. 2022

The Journal of Strain Analysis for Engineering Design

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“…Among them, the usage of CNTs has been accelerated in composite materials, since they show unique properties including electrical conductivity, temperature stability, high rigidity and stiffness-to-weight ratio. 53,54 Spinks et al studied the preparation of chitosan/single-walled CNTs (SWCNTs) composite fibres using wet spinning method and investigated the effect of CNT concentration. 55 They purchased SWCNTs with lengths up to several micrometers and diameters of 0.7–1.3 nm.…”

Section: Characterization Of Bionanocompositesmentioning

confidence: 99%

Surface and mechanical characterization of bionanocomposites for advanced applications: A review

Kurukavak

2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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In recent years, nanocomposites prepared by dispersing biopolymer with nanofillers (bionanocomposites) have attracted a growing attention, since they present remarkable electrical, optical, mechanical and thermal properties, which make them useful for various technological applications. However, the understanding of the diversity of application areas of bionanocomposites can only be specified by advanced characterization techniques. As well known, the illumination of the main characteristics of bionanocomposites makes them more eligible for their potential use. Therefore, the characterization techniques given in this review fall into the two main categories: the morphological and mechanical characterizations. Morphological characterization techniques presented include the most popular techniques atomic force microscopy, scanning electron microscopy and transmission electron microscopy. Mechanical characterization techniques presented here include tensile test and dynamic mechanical analysis. Additionally, thermal stability bionanocomposites determined by thermogravimetric analysis is briefly touched.

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“…It was found that while increasing the porosity decreased the natural frequency, increasing the volume fraction of carbon nano tubes (CNTs) increased the natural frequency. Saeed Amir et al [ 28 ] studied the mechanical behavior of porous sandwich structures under magnetic field forces based on the MSCT and the higher-order shear deformation theory. In 2011, Chen et al [ 29 ] proposed a new modified couple stress theory applicable to anisotropic materials.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Size-Dependent Linear Static Bending, Buckling, and Free Vibration Based on a Modified Couple Stress Theory

Tang

Shi

et al. 2022

Materials

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The purposes of this paper are to study bending, buckling, and vibration by considering micro-scale effects using the Kirchhoff thin-plate theory and to consider small deflections, neglecting higher-order nonlinear terms. The governing equations for the bending, buckling, and vibration of the system are obtained using the equilibrium method coupled with the Kirchhoff thin-plate theory and a modified couple stress theory (MCST). The concept of the equivalent bending stiffness (EBS) of micro-thin plates is proposed to describe the scale effect. The Navier method is used to obtain analytical solutions for the bending, buckling, and free vibration of thin plates under simply supported boundary conditions with scale effects. The numerical results are presented to investigate the influence of scale effects on deflection, critical buckling load, buckling topography, and thin-plate natural frequency. The results show that the scale effect increases the equivalent stiffness of the thin plate, which leads to a decrease in deflection, a larger critical buckling load, and an increase in natural frequency, but does not affect the buckling topography. The MSCT is invalid when the thickness is greater than 10 times the scale effect parameter, thus defining the scope of application of the scale effect. This research study may contribute to the design of micro-scale devices such as MEMSs/NEMSs.

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Free vibration and buckling analyses of FG porous sandwich curved microbeams in thermal environment under magnetic field based on modified couple stress theory

Cited by 60 publications

References 69 publications

Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory

Free vibration characteristics of viscoelastic nano-disks based on modified couple stress theory

Surface and mechanical characterization of bionanocomposites for advanced applications: A review

Analysis of Size-Dependent Linear Static Bending, Buckling, and Free Vibration Based on a Modified Couple Stress Theory

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