Dynamic instability of imperfect laminated sandwich plates with in-plane partial edge load

Chakrabarti, Anupam; Sheikh, Abdul Hamid

doi:10.1590/s1679-78252010000400006

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…Equation (7) is the eigen-value problem that gives the desired loading frequency value W ¼ w=2 in the forms of upper W U À Á and lower W L À Á stability boundaries of the dynamic instability region for known values of a, b and P cr . Finite element method source codes have been developed in FORTRAN environment to solve equation (7).…”

Section: The Finite Element Methods Formulationmentioning

confidence: 99%

“…A study showed that the dynamic instability region of laminated composite plates that were subjected to wide ranges of combined static and harmonically varying in-plane point and patch loads can be increased with the increase in the load bandwidths [6]. Dynamic instability of parts of turbines, electric machines and parts of aircraft or ships were studied by modelling them as laminated sandwich plates while the refined higher order theory was used in the formulation [7]. Later, the inverse trigonometric hyperbolic zig-zag theory was used to investigate the parametric instability of laminated composite and sandwich plates [8].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic instability response of smart composite material

Roslan

Yusof

Rasid

et al. 2019

Materialwissenschaft Werkst

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Laminated composite is common to replace traditional metals in today's industries due to its high specific strength. Shape memory alloy has been used to improve structural behaviours such as buckling, vibration and fatigue through its well‐ known property of shape memory effect. This ability of shape memory alloy to improve the parametric instability behaviour of laminated composite plate has not been studied in the past and as such, this study is conducted. Here, shape memory alloy wires are embedded within the outer layers of the laminated composite plates. The Mathieu‐Hill equation for the parametric instability of the shape memory alloy composite plate has been developed using finite element method based on the first order shear deformation theory. The formulation is validated and parametric studies have been conducted to investigate the effect of shape memory alloy on the dynamic instability behaviour of the composite that corresponds to factors such as static load factor, thickness of the plate and boundary conditions. The study shows that shape memory alloy improves significantly the dynamic instability behaviour of the laminated composite plate by shifting the instability chart to the right. The effect of shape memory alloy can increase the frequency centre of the instability chart by more than 100 %.

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Section: The Finite Element Methods Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic instability response of smart composite material

Roslan

Yusof

Rasid

et al. 2019

Materialwissenschaft Werkst

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“…118 It was found that no solution exists in the literature for the problem of sandwich plate subjected to partial edge loading and investigated by a newly developed triangular element based on an RHSDT, where the continuity of stresses is satisfied at the layer interfaces by taking jumps in the transverse shear strains at the interfaces. It is interesting to note that the plate model having all these refined features requires unknowns at the reference plane only, [119][120][121][122] and the different degrees of imperfections at the layer interfaces were investigated. 123 An FE analysis is carried out using commercial ABAQUS software, version 6.14.…”

Section: Figure 1 Geometry and Coordinates Of A Sandwich Platementioning

confidence: 99%

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

Kumar¹,

Srinivasa²

2018

Journal of Thermoplastic Composite Materials

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Many review articles were published on free vibration and buckling of laminated composites, sandwich plates, and shells. The present article reviews the literature on the buckling and free vibration analysis of shear deformable isotropic and laminated composite sandwich plates and shells using various methods available for plates in the past few decades. Various theories, finite element modeling, and experimentations have been reported for the analysis of sandwich plates and shells. Few papers on functionally graded material plates, plates with smart skin (electrorheological, magnetorheological, and piezoelectric), and also viscoelastic materials were also reviewed. The scope for future research on sandwich plates and shells was also accessed.

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“…The effect of span to thickness ratio, modular ratio, boundary conditions, static load factor, and thickness ratios were examined by solving a variety of numerical problems on laminated composite and sandwich structures. Dynamic instability behavior of composite and sandwich laminates with interfacial slips was studied by Chakrabarti and Sheikh [12] by using the refined higher order shear deformation theory and later the same theory combining with linear spring model was used to study the dynamic instability of imperfect laminated sandwich plates having in-plane partial edge loading. This paper reports on the dynamic instability study conducted on symmetric angle-ply composite plate.…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of parametric instability problem for composite plate using finite element method

Yusof

Rasid²

2016

AIP Conference Proceedings

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Abstract. The application of laminated sandwich composite in machine structures is attractive due to the low specific and tailorable properties of the composites. As such a study on the parametric instability that often occurs in machine structures should be crucially conducted on composite plates. In this paper, finite element method (FEM) has been used to model laminated composite plate subjected to periodic compressive loading for the parametric instability analysis. The FEM formulation is based on the first order shear deformation theory. Eight noded serendipity element that requires 5 degrees of freedom per node is used in this study. The developed Mathieu-Hill type equation that represents the parametric instability of the composite plate has been solved using the Bolotin's method that reduces the Mathieu-Hill equation to a couple of eigen-value problems. The FEM source codes have been developed to determine the instability charts for several configurations of composite plates. While the formulation and codes have been found to give results that agree well with past results, it has been also been found that as the static load factor is increased, the frequency center for dynamic instability region is shifted to the left while the degree of instability is increased.

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Dynamic instability of imperfect laminated sandwich plates with in-plane partial edge load

Cited by 6 publications

References 14 publications

Dynamic instability response of smart composite material

Dynamic instability response of smart composite material

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

Numerical modelling of parametric instability problem for composite plate using finite element method

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