Three Models of a Sandwich Beam: Bending, Buckling, and Free Vibrations
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee
[2.7] Civil engineering, geodesy and transport[2.9] Mechanical engineering
2022
scientific article
english
- shear deformation theory
- deflection
- critical load
- fundamental natural frequency
EN This paper is devoted to the analytical modelling of a sandwich beam. Three models of this beam are elaborated. Two nonlinear individual shear theories of deformation of a plane cross-sections are proposed. Based on Hamilton’s principle, two differential equations of motion for each model are obtained. The bending, buckling and free flexural vibration problems of the simply-supported sandwich beam considering these three models are studied. The results of these analytical investigations are presented in tables.
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CC BY-SA (attribution - share alike)
open journal
final published version
public
70