TY - JOUR
T1 - Application of the differential transform method to the free vibration analysis of functionally graded Timoshenko beams
AU - Özdemir, Özge
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Differential transform method
KW - Functionally graded beam
KW - Timoshenko beam
UR - http://www.scopus.com/inward/record.url?scp=84994173348&partnerID=8YFLogxK
U2 - 10.15632/jtam-pl.54.4.1205
DO - 10.15632/jtam-pl.54.4.1205
M3 - Article
AN - SCOPUS:84994173348
SN - 1429-2955
VL - 54
SP - 1205
EP - 1217
JO - Journal of Theoretical and Applied Mechanics
JF - Journal of Theoretical and Applied Mechanics
IS - 4
ER -