Bending of a five-layered composite beam with consideration of two analytical models

• Autorzy: Magnucki Krzysztof

Identyfikatory

DOI

10.24425/ame.2024.149188

• Języki publikacji: EN

Abstrakty

EN

The subject of the work is a five-layered composite beam with clamped ends subjected to a uniformly distributed load along its length. Two analytical models of this beam are developed with consideration of the shear effect. The first model is formulated on the basis of the classical zig-zag theory. Whereas, the second model is developed using an individual nonlinear shear deformation theory with consideration of the classical shear stress formula (called Zhuravsky shear stress). The system of two differential equations of equilibrium for each beam model is obtained based on the principle of stationary total potential energy. These systems of equations are exactly analytically solved. The shear effect function and the maximum deflection are determined for each of these two beam models. Detailed calculations are carried out for exemplary beams of selected dimensionless sizes and material constants. The main goal of the research is to develop two analytical models of this beam, determine the shear effect function, the shear coefficient, and the maximum deflection in the elastic range for each model, as well as to perform a comparative analysis.

Słowa kluczowe

EN

composite beam; zig-zag theory; nonlinear shear deformation theory

PL

belka zespolona; teoria zygzaka; nieliniowa teoria odkształcenia przy ścinaniu

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2024
• Tom: LXXI, nr 1
• Strony: 27--46
• Opis fizyczny: Bibliogr. 22 poz., tab., il.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network, Poznan Institute of Technology, Poznan, Poland

• https://orcid.org/0000-0003-2251-4697

Bibliografia

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• [21] K. Magnucki. An individual shear deformation theory of beams with consideration of the Zhuravsky shear stress formula. In Current Perspectives and New Directions in Mechanics, Modelling and Design of Structural Systems, Zingoni (ed.) pages 682–689, CRC Press, Taylor & Francis Group, Boca Raton, London, New York, 2022, doi: 10.1201/9781003348443-112.
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