Effective shaping of a stepped sandwich beam with clamped ends

• Autorzy: Magnucki Krzysztof , Kustosz Joanna , Goliwąs Damian

Identyfikatory

DOI

10.2478/ama-2023-0023

• Języki publikacji: EN

Abstrakty

EN

The aim of this work is to propose a sandwich beam with stepped layer thickness in three parts along its length. The total depth, width of the cross-section and its mass are constant. The beam is under a uniformly distributed load. The system of two equilibrium equa-tions was formulated for each part based on the literature. This system was analytically solved for the successive parts of the beam and the functions of the shear effect and deflection were determined in them. The effective stepped layer thicknesses was determined on the basis of the adopted criterion for minimizing the maximum deflection of the beam. The example calculations were made for two elected beams. The effective shapes of these beams are shown in the figures. Moreover, FEM numerical calculations of the deflections of these beams are performed.

Słowa kluczowe

EN

analytical modelling; bending; shaping criterion; FEM calculations

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2023
• Tom: Vol. 17, no. 2
• Strony: 200--204
• Opis fizyczny: Bibliogr. 18 poz., rys., tab., wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań, Poland

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

autor

Kustosz Joanna

• Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań, Poland

• https://orcid.org/0000-0002-9408-2099

autor

Goliwąs Damian

• Łukasiewicz Research Network – Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań, Poland

• https://orcid.org/0000-0003-3280-0400

Bibliografia

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• 3. Yang M, Qiao P. Higher-order impact modeling of sandwich struc-tures with flexible core. International Journal of Solids and Structures. 2005;42(20):5460–90.
• 4. Magnucka-Blandzi E, Magnucki K. Effective design of a sandwich beam with a metal foam core. Thin-Walled Structures. 2007;45(4):432-8.
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• 6. Wang ZD, Li ZF. Theoretical analysis of the deformation of SMP sandwich beam in flexure. Archive of Applied Mechanics. 2011;81(11):1667–78.
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• 9. Magnucki K, Jasion P, Szyc W, Smyczynski M. Strength and buck-ling of a sandwich beam with thin binding layers between faces and a metal foam core. Steel and Composite Structures. 2014;16(3):325-37.
• 10. Sayyad AS, Ghugal YM. Bending, buckling and free vibration of laminated composite and sandwich beams: a critical review of litera-ture. Composite Structures. 2017;171:486–504.
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• 14. Magnucki K, Magnucka-Blandzi E, Lewiński J, Milecki S. Analytical and numerical studies of an unsymmetrical sandwich beam - bend-ing, buckling and free vibration. Engineering Transactions. 2019;67(4):491-512.
• 15. Sayyad AS, Ghugal YM. Modeling and analysis of functionally grad-ed sandwich beams: A review. Mechanics of Advanced Materials and Structures. 2019;26(21):1776-95.
• 16. Chinh TH, Tu TM, Duc DM, Hung TQ. Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function. Archive of Applied Mechanics. 2021;91(3):933–47.
• 17. Magnucki K, Magnucka-Blandzi E, Wittenbeck L. Three models of a sandwich beam: Bending, buckling and free vibration. Engineering Transactions. 2022;70(2):97-122.
• 18. Kustosz J, Magnucki K, Goliwąs D. Bending of a stepped sandwich beam: The shear effect. Engineering Transactions. 2022;70(4):373-390.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).