On Influence of the Shape of the Displacement Field for Studying the Vibration Behaviour of a Sandwich Beam

Youssef Abdelli; R. Nasri

doi:10.15866/ireme.v8i6.3778

On Influence of the Shape of the Displacement Field for Studying the Vibration Behaviour of a Sandwich Beam

Youssef Abdelli^(1*), R. Nasri⁽²⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v8i6.3778

Abstract

In this paper, we study the influence of the shape of the displacement field on the vibration behavior of a sandwich beam composed of three layers: two identical skins and core. The displacement field used is a higher order polynomial where the terms including warping are based on a parameter n that will be varied between [-10, 10] in real terms to see its effect on natural frequencies and modal damping and to derive an improved expression of the displacement field. In the literature this displacement field is used to two theories taking two different values of n: the first for n = 0 and the second for n = 1, respectively providing the variation non-parabolic and parabolic transverse shear stress through the thickness of the beam. The equations of motion are derived by using the principle of Hamilton. The results found in frequencies and damping will be compared for the same boundary conditions (simply supported on both sides) to other results in the literature. The results seem convincing.
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Keywords

Displacement Field; Frequencies; Higher Order; Honeycomb; Modal Damping; Sandwich Beam

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