- Tytuł:
- Application of the differential transform method to the free vibration analysis of functionally graded timoshenko beams
- Autorzy:
- Özdemir, Ö.
- Powiązania:
- https://bibliotekanauki.pl/articles/281244.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
differential transform method
functionally graded beam
Timoshenko beam - Opis:
- In this study, free vibration characteristics of a functionally graded Timoshenko beam that undergoes flapwise bending vibration is analysed. The energy expressions are derived by introducing several explanotary figures and tables. Applying Hamilton’s principle to the energy expressions, governing differential equations of motion and boundary conditions are obtained. In the solution part, the equations of motion, including the parameters for rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM). Natural frequencies are calculated and effects of several parameters are investigated.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1205-1217
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki