Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties

• Autorzy: Magnucki K. , Lewiński J. , Magnucka-Blandzi E. , Kędzia P.

Identyfikatory

DOI

10.15632/jtam-pl.56.4.1163

• Języki publikacji: EN

Abstrakty

EN

The subject of the paper is a beam with unsymmetrically varying mechanical properties in the depth direction. The nonlinear hypothesis of plane cross section deformation is assumed. Based on Hamilton’s principle, two differential equations of motion are obtained. The system of equations is analytically solved with a view to analyse the bending, buckling and free vibration problems of the beam. Moreover, the FEM model of the beam is developed and deflections, critical axial forces and natural frequencies of the beam are calculated. The results of these two methods are compared.

Słowa kluczowe

EN

FGM beam; mathematical modelling; numerical FEM calculations

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 4
• Strony: 1163--1178
• Opis fizyczny: Bibliogr. 22 poz., rys., tab.

Twórcy

autor

Magnucki K.

• Institute of Rail Vehicles TABOR, Poznań, Poland

autor

Lewiński J.

• Institute of Rail Vehicles TABOR, Poznań, Poland

autor

Magnucka-Blandzi E.

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

autor

Kędzia P.

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

Bibliografia

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• 4. Chen D., Yang J., Kitipornchai S., 2016b, Free and force vibrations of shear deformable functionally graded porous beams, International Journal of Mechanical Sciences, 108-109, 14-22
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• 18. Smyczynski M.J., Magnucka-Blandzi E., 2018, Three-point bending of a sandwich beam with two binding layers – Comparison of two nonlinear hypotheses, Composite Structures, 183, 96-102
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).