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

2022/03/31 by MAGNUCKI, Krzysztof, MAGNUCKA-BLANDZI, Ewa, WITTENBECK, Leszek
#critical load #deflection #fundamental natural frequency #shear deformation theory

paper · doi:10.24423/engtrans.1416.20220331

Abstract

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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