Dynamic Analysis of Sandwich Auxetic Honeycomb Plates Subjected to Moving Oscillator Load on Elastic Foundation

Tran, Thanh Trung; Pham, Quoc Hoa; Nguyen-Thoi, T.; Tran, The-Van

doi:10.1155/2020/6309130

Cited by 61 publications

(16 citation statements)

References 38 publications

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“…All layers have the same material properties: E = 69 GPa, ρ = 2700 kg/m 3 , and υ = 0.33. It can be seen from Table 1 that with the mesh 12×12×2 elements, the obtained results show good agreement with solutions by Tran et al [23]. So this meshing will be used throughout the numerical examples.…”

Section: Validation and Convergence Studysupporting

confidence: 67%

See 1 more Smart Citation

Free vibration and dynamic response of sandwich composite plates with auxetic honeycomb core

Quoc

Tú

Tham

2021

STCE

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This paper deals with the free vibration and dynamic responses of composite sandwich plates. The sandwich plate has three layers in which two face sheets are made of isotropic material, and the core layer is made of auxetic honeycomb structures with a negative Poisson's ratio. A smoothed finite element model based on the first-order shear deformation theory is established for the analysis purpose. In the model, only the linear approximation is necessary, and the discrete shear gap method for triangular plate elements is used to avoid the shear locking. The Newmark direct integration technique is used to capture the dynamic responses of the sandwich plates. The convergence study is made, and the accuracy of present results is validated by comparison with available data in the literature. The influence of geometrical parameters, material properties, and boundary conditions are explored and discussed. Numerical results show that auxetic materials have several different responses compared to conventional materials, and these behaviors are strongly influenced by the internal structure of the auxetic material.

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Section: Validation and Convergence Studysupporting

confidence: 67%

“…In the first comparison, the fundamental frequencies of a simply supported sandwich plate are computed and compared with those reported by Tran et al [23] using plate elements within the framework of the finite element method and FSDT. The results are presented in Table 1.…”

Section: Validation and Convergence Studymentioning

confidence: 99%

Free vibration and dynamic response of sandwich composite plates with auxetic honeycomb core

Quoc

Tú

Tham

2021

STCE

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“…The unit cell of hexagonal honeycomb with inclined angle θ and various ratios of h 0 /l 0 is considered. The fundamental natural frequencies of the sandwich plate are computed and then compared with the results of Thanh Trung and co-workers [16] using the finite element method (FEM) following the FSDT (see Table 3).…”

Section: Verification Examples a Verifying The Deflection Of The Fgm ...mentioning

confidence: 99%

“…Based on the equivalent model in combination with 3D FEM, Wang et al [15] presented free vibration response of sandwich plates with a hierarchical sandwich core in the form of a square honeycomb. In the framework of FSDT and FEM, Tran et al [16] investigated the dynamic analysis of auxetic honeycomb core sandwich composite plates placing on an elastic foundation. Nam et al [17] presented free vibration response, buckling analysis and dynamic instability of auxetic honeycomb plates using graphene platelets as reinforcement to skin layers.…”

Section: Introductionmentioning

confidence: 99%

Navier solution for static and free vibration analysis of sandwich plate with auxetic honeycomb core resting on pasternak elastic foundation

Thắng

Long

Tú

et al. 2022

STCE

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This study investigates the bending behaviour and free vibration response of a rectangular sandwich plate with auxetic honeycomb core and functionally graded material (FGM) face sheets. Governing equations are established from Hamilton’s principle in the framework of the first-order deformation theory (FSDT). The Navier solution has been utilized to determine the deflection and the natural frequency of the simply supported sandwich plate. The reliability and accuracy of the proposed model have been validated via verification studies. The numerical investigations are conducted to investigate the influence of geometric parameters of auxetic material, volume fraction index of FGM, the thickness ratio of layers, and elastic foundation stiffness on deflection and fundamental frequency of the FG-Auxetic sandwich plate.

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“…e influences of the varying amplitudes and a constant velocity on dynamic responses of the plates were considered in this paper. Also, Tran et al [20] used the FSDT and FEM to study the dynamic responses of the sandwich composite plates with auxetic honeycomb core resting on the EF subjected to moving oscillator loads.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Functionally Graded Porous Plates Resting on Elastic Foundation Taking into Mass subjected to Moving Loads Using an Edge-Based Smoothed Finite Element Method

Tran

Pham

Nguyen-Thoi

2020

Shock and Vibration

Self Cite

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The paper presents the extension of an edge-based smoothed finite element method using three-node triangular elements for dynamic analysis of the functionally graded porous (FGP) plates subjected to moving loads resting on the elastic foundation taking into mass (EFTIM). In this study, the edge-based smoothed technique is integrated with the mixed interpolation of the tensorial component technique for the three-node triangular element (MITC3) to give so-called ES-MITC3, which helps improve significantly the accuracy for the standard MITC3 element. The EFTIM model is formed by adding a mass parameter of foundation into the Winkler–Pasternak foundation model. Two parameters of the FGP materials, the power-law index (k) and the maximum porosity distributions (Ω), take forms of cosine functions. Some numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the effects of geometric parameters and materials on forced vibration of the FGP plates resting on the EFTIM are also studied in detail.

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Dynamic Analysis of Sandwich Auxetic Honeycomb Plates Subjected to Moving Oscillator Load on Elastic Foundation

Cited by 61 publications

References 38 publications

Free vibration and dynamic response of sandwich composite plates with auxetic honeycomb core

Free vibration and dynamic response of sandwich composite plates with auxetic honeycomb core

Navier solution for static and free vibration analysis of sandwich plate with auxetic honeycomb core resting on pasternak elastic foundation

Dynamic Analysis of Functionally Graded Porous Plates Resting on Elastic Foundation Taking into Mass subjected to Moving Loads Using an Edge-Based Smoothed Finite Element Method

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