Bending and buckling of a metal seven-layer beam with a lengthwise corrugated main core – comparative analysis with the sandwich beam

• Autorzy: Magnucka-Blandzi E. , Rodak M.

Identyfikatory

DOI

10.15632/jtam-pl.55.1.41

• Języki publikacji: EN

Abstrakty

EN

The subject of analytical investigations is a metal seven-layer beam, a plate band with a lengthwise trapezoidal corrugated main core and two crosswise trapezoidal corrugated cores of faces. The hypothesis of deformation of normal to the middle surface of the beam after bending is formulated. Equations of equilibrium are derived based on the theorem of mini- mum total potential energy. The equations are analytically solved. Three point bending and buckling for axially compression of the simply supported beam are theoretically studied. The deflection and the critical axial force are determined for different values of the trapezoidal corrugation pitch of the main core. Moreover, an adequate model of the sandwich beam with steel foam core is formulated. The deflection and the critical axial force are determined for this sandwich beam. The results studied of the seven layer beam and the adequate sandwich beam are compared and presented in tables and figures.

Słowa kluczowe

EN

layered plate-band; trapezoidal corrugated cores; deflection; critical load

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 1
• Strony: 41--53
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Magnucka-Blandzi E.

• Poznan University of Technology, Institute of Mathematics, Poznań, Poland

autor

Rodak M.

• Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland

Bibliografia

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• 16. Szyniszewski S., Smith B.H., Hajjar J.F., Schafer B.W., Arwade S.R., 2014, The mechanical properties and modelling of a sintered hollow sphere steel foam, Materials and Design, 54, 1083-1094
• 17. Ventsel E., Krauthammer T., 2001, Thin Plates and Shells, Theory, Analysis and Applications, Marcel Dekker, New York, Basel
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)