Engineering Transactions, 70, 2, pp. 97-122, 2022
10.24423/EngTrans.1416.20220331

Three Models of a Sandwich Beam: Bending, Buckling, and Free Vibrations

Krzysztof MAGNUCKI
Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center
Poland

Ewa MAGNUCKA-BLANDZI
Poznan University of Technology
Poland

Leszek WITTENBECK
Poznan University of Technology
Poland

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.
Keywords: shear deformation theory; deflection; critical load; fundamental natural frequency.
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Copyright © The Author(s). This is an open-access article distributed under the terms of the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0).

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DOI: 10.24423/EngTrans.1416.20220331