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Three models of a sandwich beam: bending, buckling, and free vibrations

Magnucki Krzysztof, Magnucka-Blandzi Ewa, Wittenbeck Leszek

Engineering Transactions

2022

Vol. 70, iss. 2

97--122

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.