- Tytuł:
- Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties
- Autorzy:
-
Magnucki, K.
Lewiński, J.
Magnucka-Blandzi, E.
Kędzia, P. - Powiązania:
- https://bibliotekanauki.pl/articles/279585.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
FGM beam
mathematical modelling
numerical FEM calculations - Opis:
- 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.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1163-1178
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł