Size dependent effect on the buckling and vibration analysis of double-bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory

Mohammadimehr, Mehdi; Mohandes, Masood; Moradi, Mehdi

doi:10.1177/1077546314544513

Cited by 46 publications

(26 citation statements)

References 35 publications

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“…In addition, λ and μ denote the two Lame constants, ℓ is the material length scale parameter, and δij is the Kronecker delta. Moreover, components of the displacement and rotation vectors are defined by u and θ, respectively, where the rotation vector is related to the displacement vector as 31,32 …”

Section: Preliminariesmentioning

confidence: 99%

Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading

Mohandes

Ghasemi

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the effect of finite strain on the nonlinear free vibration and bending of the symmetrically micro/nanolaminated composite beam under thermal environment within the framework of the Euler-Bernoulli and modified couple stress theory is studied. The governing equation of motion and boundary conditions are obtained using Hamilton's principle, and then they are solved by generalized differential quadrature method. The bending and free vibration of the beam are investigated for both carbon/epoxy and glass/epoxy materials based on the finite strain and von Karman assumptions subjected to different boundary conditions. Also, two different fiber orientations including unidirectional and cross-ply are considered in this research. Comparison of the bending results show that there is a significant difference between the finite strain and von Karman particularly for L ¼ 10h. Furthermore, it is found that the natural frequencies predicted by the finite strain are more than the von Karman. Also, when the microbeam is inserted under thermal loading, the natural frequencies increase.

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Section: Preliminariesmentioning

confidence: 99%

Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading

Mohandes

Ghasemi

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The free vibration analysis of SWCNT using modified strain gradient and the thin shell theories is presented by Zeighampour and Tadi Beni [32]. They demonstrated that the natural frequencies of SWCNTs obtained by MSGT are larger than that of in couple stress model and CT. Mohammadimehr et al [33] considered the size dependent effect on the buckling and vibration analysis of double-bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube using MCST. They investigated the effects of material length scale parameter, elastic foundation coefficients, aspect ratio (a/b), length-to-thickness ratio (a/h), transverse and longitudinal wave numbers on the dimensionless natural frequency.…”

Section: -Intruductionmentioning

confidence: 99%

Free vibration of viscoelastic double-bonded polymeric nanocomposite plates reinforced by FG-SWCNTs using MSGT, sinusoidal shear deformation theory and meshless method

Mohammadimehr

Navi

Arani

2015

Composite Structures

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“…Substituting equations (14), (19) and (21) into equation (20), the governing equation of motion for nonlocal SLGS using energy method is obtained as follows…”

Section: Basic Formulations Of the Problemmentioning

confidence: 99%

Surface stress effects on the free vibration and bending analysis of the nonlocal single-layer graphene sheet embedded in an elastic medium using energy method

Mohammadimehr

Najafabadi

Nasiri

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part N:

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In this article, using energy method, the effect of surface stress on the free vibration and bending analysis of single-layer graphene sheet embedded in an elastic medium based on nonlocal elasticity theory is studied. Surface stress plays a more important role due to the high surface-to-volume ratio in nanoscale materials. For this purpose, Gurtin-Murdoch continuum mechanics approach is used. The effects of surface properties including surface elasticity, surface residual stresses and surface mass density are considered. In this research, the effects of Winkler spring constant, Pasternak shear constant, aspect ratio, Young's modulus of surface layer, surface residual stress, nonlocal parameter on the natural frequency ratio and deflection of single-layer graphene sheet are investigated. The results indicate that the natural frequency ratio decreases with an increase in the surface residual stress and vice versa for deflection of nonlocal single-layer graphene sheet. Also, the natural frequency ratio increases with an increase in Young's modulus of surface layer and vice versa for deflection of nonlocal single-layer graphene sheet. Moreover, the elastic medium causes to stiffen the single-layer graphene sheet. The influence of the small-scale parameter on the natural frequency ratio and deflection of single-layer graphene sheet is more significant for lower values of foundation parameters and vice versa for higher values of foundation parameters.

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Size dependent effect on the buckling and vibration analysis of double-bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory

Cited by 46 publications

References 35 publications

Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading

Modified couple stress theory and finite strain assumption for nonlinear free vibration and bending of micro/nanolaminated composite Euler–Bernoulli beam under thermal loading

Free vibration of viscoelastic double-bonded polymeric nanocomposite plates reinforced by FG-SWCNTs using MSGT, sinusoidal shear deformation theory and meshless method

Surface stress effects on the free vibration and bending analysis of the nonlocal single-layer graphene sheet embedded in an elastic medium using energy method

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