Buckling and free flexural vibration of an asymmetric sandwich beam with a functionally graded core
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ 2 ] Instytut Mechaniki Stosowanej, Wydział Inżynierii Mechanicznej, Politechnika Poznańska | [ P ] employee
[2.7] Civil engineering, geodesy and transport[2.9] Mechanical engineering
2024
scientific article
english
- shear deformation theory
- buckling
- free vibration
- sandwich structures
EN This paper is devoted to an asymmetrical sandwich beam with a functionally graded core with three different variants of boundary conditions. An analytical model of this beam, considering individual nonlinear shear deformation theory, is developed. Based on Hamilton’s principle, two differential equations of motion for this beam are obtained. These equations are solved analytically, and as a consequence, the critical forces and basic natural frequencies for each beam support variant are determined. Detailed calculations are carried out for selected exemplary beam structures, and their results are compared with numerical FEM analysis.
335 - 355
CC BY (attribution alone)
czasopismo hybrydowe
final published version
public
100
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