On the Free Vibration Analysis of Laminated Composite and Sandwich Plates: A Layerwise Finite Element Formulation

Belarbi, Mohamed‐Ouejdi; Tati, Abdelouahab; Ounis, Houdayfa; Khechai, Abdelhak

doi:10.1590/1679-78253222

Cited by 47 publications

(19 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…FEM-HSDT (LW) [40] Analytical-HSDT (ESL) [13] FEM-HSDT (ESL) [14] # sandwich plates with lay-ups #1 and #2 with simply supported boundary conditions. The present method is compared against the analytical solutions based on the layer wise approach [20], the FEM solutions based on higher-order shear deformations theory [40], and other analytical solutions based on higher-order shear deformation theory with the ESL approach [13,14]. In these references, the effect of in-plane stresses are neglected so the results for the proposed method are presented for two cases: with and without in-plane stresses.…”

Section: Validationmentioning

confidence: 99%

Free vibration analysis of rectangular sandwich plates with compressible core and various boundary conditions

Farsani

Ramian

Jafari-Talookolaei

et al. 2020

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

Extended higher-order sandwich plate theory is used to analyze the free vibrations of rectangular sandwich plates with compressible core. Accordingly, first-order shear deformation theory is used to model the laminated face sheets. Besides, the in-plane and transverse displacements of the core are assumed to be cubic and quadratic functions of the thickness coordinate, respectively. To deduce the governing equations, Hamilton’s principle is used. Then, based on the Rayleigh-Ritz method, single series expansions with two-variable orthogonal polynomials – namely, the orthogonal plate functions – are considered to approximate the displacement components. Lastly, a generalized eigenvalue problem is solved to obtain the free vibrational characteristics of sandwich plates with both symmetric and anti-symmetric lay-ups subjected to various boundary conditions. The method is validated against the results obtained by different methods in the literature. Finally, the effects of the plate side-to-thickness ratio, in-plane aspect ratio, and core-to-face sheets thickness ratio on the natural frequencies are discussed.

show abstract

Section: Validationmentioning

confidence: 99%

Free vibration analysis of rectangular sandwich plates with compressible core and various boundary conditions

Farsani

Ramian

Jafari-Talookolaei

et al. 2020

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

show abstract

“…The vibration behavior of a structure is a significant research field in which researchers conducted various studies to understand the effects of damage [1][2][3], geometry [4][5][6], material [7][8][9], and other parameters [10][11][12][13][14][15][16][17] on this concept. Related to vibrational behavior, the harmonic response is another essential concept for understanding a steady-state response of a structure under sinusoidal loads.…”

Section: Introductionmentioning

confidence: 99%

Harmonic response analysis of elliptically curved thin plates

Daş

2021

International Advanced Researches and Engineering Journal

View full text Add to dashboard Cite

In this study, harmonic response analysis of isotropic elliptically curved thin plate structures has been conducted. The structure has been excited by a harmonic load, whose maximum magnitude is 100 N. The structure has been considered under fixed from both straight edges boundary conditions. The effect of the elliptical geometry on the harmonic response of the structure in terms of the critical frequency region, phase angle, stress, and displacement has been examined. For this purpose, the vertex to co-vertex ratio has been variated from 3 to 4 by 0.1 intervals. All analyses have been performed via ANSYS Workbench by employing the Mode Superposition Method. The results indicated that the elliptical geometry has a significant impact on the harmonic response of elliptically curved thin plate structures.

show abstract

“…For instance, the harmonic wave determination in elastic sandwich plates was presented by Lee and Chang [21], while the dispersion of elastic waves in a three-layered laminate which was considered to be inhomogeneous was given by Kaplunov et al [22]. Other studies comprise theories governing the propagations in layered photovoltaic panels and laminated glass [23], buckling and bending analysis of vibrating laminated composite and sandwich beams presented by Sayyad and Ghugal [24], the determination of lowest motion modes of an elastic beam with varying layers given by Sahin et al [25], a layer-wise finite element analysis for laminated and composite plates by Belarbi et al [26] and for sandwich five-layered composite plate by Shishehsaz et al [27]. Furthermore, regarding the influence of some external forces on the propagation of waves in layered media, Jiangong et al examined the propagation of waves in magneto-electro-elastic inhomogeneous hollow cylinders in [28], and the same investigation was carried out by Bin et al [29] on elastic plates.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of Elastic Waves in an Asymmetric Three-Layered Structure in the Presence of Magnetic and Rotational Effects

Nuruddeen¹,

Nawaz²,

Zia³

2020

PIER M

View full text Add to dashboard Cite

The present paper investigates the propagation and dispersion of elastic surface waves in an asymmetric inhomogeneous isotropic three-layered plate in the presence of magnetic field and rotational effects. The skin layers are exposed to an external magnetic field force while the core layer is assumed to be in a rotational frame of reference, which are perfectly bounded together with free-ends conditions. The resultant displacements and shear stresses in the respective layers are derived analytically together with the general dispersion relation. Further, the general dispersion relation is analyzed for some physical cases of interest. Finally, the effects of the magnetic field, rotation, and electric field on the propagation and dispersion of the present model are presented graphically.

show abstract

On the Free Vibration Analysis of Laminated Composite and Sandwich Plates: A Layerwise Finite Element Formulation

Cited by 47 publications

References 58 publications

Free vibration analysis of rectangular sandwich plates with compressible core and various boundary conditions

Free vibration analysis of rectangular sandwich plates with compressible core and various boundary conditions

Harmonic response analysis of elliptically curved thin plates

Dispersion of Elastic Waves in an Asymmetric Three-Layered Structure in the Presence of Magnetic and Rotational Effects

Contact Info

Product

Resources

About