FREE VIBRATION OF SKEW SANDWICH PLATES WITH LAMINATED FACINGS

Based on the hyperbolic tangent shear deformation theory, free vibration and sound insulation of two different types of functionally graded (FG) honeycomb sandwich plates with negative Poisson’s ratio are studied in this paper. Using Hamilton’s principle, the vibration and vibro-acoustic coupling dynamic equations for FG honeycomb sandwich plates with simply supported edges are established. By applying the Navier’s method and fluid–solid interface conditions, the derived governing dynamic equations are solved. The natural frequencies and the sound insulation of FG honeycomb sandwich plates obtained in this work are compared with the numerical results by the finite element simulation. It is proven that the theoretical models for the free vibration and the sound insulation are accurate and efficient. Moreover, FG sandwich plates with different honeycomb cores are investigated and compared. The corresponding results show that the FG honeycomb core with negative Poisson’s ratio can yield much lower frequencies. Then, the influences of various geometrical and material parameters on the vibration and sound insulation performance are systematically analyzed.

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Free vibration and buckling of foam-filled composite corrugated sandwich plates under thermal loading

Composite Structures ◽

10.1016/j.compstruct.2017.03.051 ◽

2017 ◽

Vol 172 ◽

pp. 173-189 ◽

Cited By ~ 29

Author(s):

Bin Han ◽

Ke-Ke Qin ◽

Qian-Cheng Zhang ◽

Qi Zhang ◽

Tian Jian Lu ◽

...

Keyword(s):

Free Vibration ◽

Thermal Loading ◽

Sandwich Plates ◽

Foam Filled ◽

Filled Composite

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

Journal of Thermoplastic Composite Materials ◽

10.1177/0892705718809810 ◽

2018 ◽

Vol 33 (5) ◽

pp. 673-724 ◽

Cited By ~ 2

Author(s):

Pavan Kumar ◽

CV Srinivasa

Keyword(s):

Free Vibration ◽

Laminated Composite ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Future Research ◽

Sandwich Plates ◽

Composite Sandwich ◽

Sandwich Plates And Shells ◽

Graded Material ◽

Plates And Shells

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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Free Vibration of Sandwich Plates and Shells by Using Zig-Zag Function

Shock and Vibration ◽

10.1155/2009/573674 ◽

2009 ◽

Vol 16 (5) ◽

pp. 495-503 ◽

Cited By ~ 19

Author(s):

S. Brischetto ◽

E. Carrera ◽

L. Demasi

Keyword(s):

Free Vibration ◽

Free Vibration Analysis ◽

Sandwich Plates ◽

Vibration Modes ◽

Fundamental Vibration ◽

First Derivative ◽

The Core ◽

Sandwich Plates And Shells ◽

Plates And Shells ◽

Free Vibration Response

This paper analyses the free vibration response of sandwich curved and flat panels by introducing the zig-zag function (—1)kζk(ZZF) in the displacement models of classical and higher order two-dimensional shell theories. The main advantage of ZZF is the introduction of a discontinuity in the first derivative, zig-zag effect, of the displacements distribution with correspondence to the core/faces interfaces. Results including and discarding ZZF are compared. Several values of face-to-core stiffness ratio (FCSR) and geometrical plate/shell parameters have been analyzed. Both fundamental vibration modes and those corresponding to high wave numbers are considered in the analysis. It is concluded that: (1) ZZF is highly recommended in the free vibration analysis of sandwich plates and shells; (2) the use of ZZF makes the error almost independent by FCSR parameter; (3) ZZF is easy to implement and its use should be preferred with respect to other `more cumbersome' refined theories.

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