A New Efficient Modified First‐Order Shear Model for Static Bending and Vibration Behaviors of Two‐Layer Composite Plate

Nam, Vũ Hoài; Nam, Nguyen Hong; Vinh, Pham Van; Khoa, Dang N.; Thom, Do Van; Minh, Phung Van

doi:10.1155/2019/6814367

Cited by 30 publications

(8 citation statements)

References 32 publications

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“…Some valuable works using FSDT can be seen in Hosseini-Hashemiand et al, 9,10 Nguyen et al 11 Continuously, many modified FSDTs have been established to reduce the number of unknown variables of the displacement formula. The information about these theories can be found in some works of Shimpi et al, 12 Thai et al, 13 Nam et al, 14 Nguyen et al 15 The FSDT and its variants have been employed to investigate isotropic and orthotropic plates. The numerical results of these works were useful in many fields of engineering and industry.…”

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Hoa

Vinh

Duc

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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A novel nonlocal shear deformation theory is established to investigate functionally graded nanoplates. The significant benefit of this theory is that it consists of only one unknown variable in its displacement formula and governing differential equation, but it can take into account both the quadratic distribution of the shear strains and stresses through the plate thickness as well as the small-scale effects on nanostructures. The numerical solutions of simply supported rectangular functionally graded material nanoplates are carried out by applying the Navier procedure. To indicate the accuracy and convergence of this theory, the present solutions have been compared with other published results. Furthermore, a deep parameter study is also carried out to exhibit the influence of some parameters on the response of the functionally graded material nanoplates.

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Section: Introductionmentioning

confidence: 99%

Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Hoa

Vinh

Duc

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…; "  " from " ∆ "; is indicated at that point, whatever the values of "m, n or s*". The relative weakness of a plate is indicated in bending-buckling-vibration-analyses [6]- [12]. By…”

Section: Deflection Limitmentioning

confidence: 99%

Von Misses Pure Shear in Kirchhoff’s Plate Buckling

Johnarry¹,

Ebitei²

2020

OJCE

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The pure shear strength for the all-simply supported plate has not yet been found; what is described as pure shear in that plate, is, in fact, a pure-shear solution for another plate clamped on the "Y-Y" and simply supported on the long side, X-X. A new solution for the simply supported case is presented here and is found to be only 60-percent of the currently believed results. Comparative results are presented for the all-clamped plate which exhibits great accuracy. The von Misses yield relation is adopted and through incremental deflection-rating the effective shear curvature is targeted in aspect-ratios. For a set of boundary conditions the Kirchhoff's plate capacity is finite and invariant for bending, buckling in axial and pure-shear and in vibration.

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“…For example, Bui et al [1] presented new numerical results of the high-frequency modes of Mindlin plates using an effective shear-locking-free meshless method. Based on a modified FSDT, Nam et al [2] developed a four-node plate element with nine degrees of freedom per node for the static bending and vibration of two-layer composite plates. Tran et al [3] presented new finite element results of the static bending at high temperatures and the thermal buckling of sandwich FG plates using a modified TSDT.…”

Section: Introductionmentioning

confidence: 99%

Size-Dependent Free Vibration of Non-Rectangular Gradient Elastic Thick Microplates

Zhang

et al. 2022

Symmetry

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The free vibration of isotropic gradient elastic thick non-rectangular microplates is analyzed in this paper. To capture the microstructure-dependent effects of microplates, a negative second-order gradient elastic theory with symmetry is utilized. The related equations of motion and boundary conditions are obtained using the energy variational principle. A closed-form solution is presented for simply supported free-vibrational rectangular microplates with four edges. A C1-type differential quadrature finite element (DQFE) is applied to solve the free vibration of thick microplates. The DQ rule is extended to the straight-sided quadrilateral domain through a coordinate transformation between the natural and Cartesian coordinate systems. The Gauss–Lobato quadrature rule and DQ rule are jointly used to discretize the strain and kinetic energies of a generic straight-sided quadrilateral plate element. Selective numerical examples are validated against those available in the literature. Finally, the impact of various parameters on the free vibration characteristics of annular sectorial and triangular microplates is shown. It indicates that the strain gradient and inertia gradient effects can result in distinct changes in both vibration frequencies and mode shapes.

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A New Efficient Modified First‐Order Shear Model for Static Bending and Vibration Behaviors of Two‐Layer Composite Plate

Cited by 30 publications

References 32 publications

Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Bending and free vibration analyses of functionally graded material nanoplates via a novel nonlocal single variable shear deformation plate theory

Von Misses Pure Shear in Kirchhoff’s Plate Buckling

Size-Dependent Free Vibration of Non-Rectangular Gradient Elastic Thick Microplates

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