Analytical solution for vibration and buckling of functionally graded sandwich beams using various quasi-3D theories

Adelaja Israel Osofero, Thuc P Vo, Trung-Kien Nguyen, Jaehong Lee

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18 Citations (Scopus)
26 Downloads (Pure)

Abstract

This paper presents an analytical solution for vibration and buckling of functionally graded (FG) sandwich beams using various quasi-3D theories, which consider effects of both shear and normal deformation. Sandwich beams with FG skins–homogeneous core and homogeneous skins–FG core are considered. By using the Hamilton’s principle, governing equations of motion are derived. An analytical solution is presented, and the obtained results by various quasi-3D theories are compared with each other and with the available solutions in the literature. The effects of normal strain, power-law indexes, skin–core–skin thickness and slenderness ratios on vibration and buckling behaviour of sandwich beams are investigated.
Original languageEnglish
Pages (from-to)3-29
Number of pages27
JournalJournal of sandwich structures and materials
Volume18
Issue number1
Early online date29 Apr 2015
DOIs
Publication statusPublished - Jan 2016

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Keywords

  • functionally graded sandwich beams
  • vibration
  • buckling
  • quasi-3D theory

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