Abstract

In this paper, the vibration analysis of uniform laminated composite sandwich beam with a viscoelastic core was studied. The governing equation of motion of the laminated composite sandwich beam has been derived based on higher order shear deformation theory (HSDT) in finite element model (FEM). The developed finite element model has been validated in terms of natural frequencies with the experimental values and the available literature. Various parametric studies have been performed to examine the impact of the core thickness, ply orientation and aspect ratio of the uniform laminated composite sandwich beam in response to free vibration for various boundary conditions. From the results it was concluded that that natural frequencies could be increased with increasing the core thickness and decreased with increasing the aspect ratio.

Highlights

  • Nowadays the demand for the sandwich structure is getting increased because of its high stiffness to the low weight ratio

  • Allahverdizadeh et al [5] was studied the dynamic behaviour of adaptive sandwich beams, where the middle layer as electro-rheological fluid (ERF) and constraining layers were fabricated by functionally graded materials (FGM)

  • Where the laminated composite sandwich beam model is simulated under the various boundary conditions such as supported at each ends (S-S), clamped – clamped (C-C) and clamped free (C-F) end conditions

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Summary

Introduction

Nowadays the demand for the sandwich structure is getting increased because of its high stiffness to the low weight ratio. The partial differential governing equation of motion was developed by adopting the Hamilton principle which was based on Thimosenko and bernoullis beam theory and the natural frequencies of the Vibration Analysis of Laminated Composite Sandwich Beam Using HSDT. 2017 61 3 experimental model were compared with the finite element model They concluded that the natural frequencies of the laminated composite sandwich beam were increased with increasing the core thickness, shear modulus and with decreasing the density. Arvin and Sadighi [7] performed a numerical investigation on free and forced vibration of composite sandwich beam and they focussed the comparative analysis between free and forced vibration They developed the governing equation of motion by accomplishing the higher order theory and by assuming independent transverse displacement on each layer. They concluded that the CLPT theory was suitable only for the thin section

Mathematical modelling of the honeycomb core laminated sandwich beam
Formulation of constitute equation of the top and bottom laminate layers
E11 F11 H11
Formulation of constitute equation of the viscoelastic core layer
Strain energy of core
Kinetic energy of the top and bottom layer of the skin
Kinetic energy of core
Derivation of element mass matrix
Experimental Results Present FEM Results
Conclusions

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