TY - JOUR
T1 - Flexural-torsional-coupled vibration analysis of axially loaded closed-section composite Timoshenko beam by using DTM
AU - Kaya, M. O.
AU - Ozdemir Ozgumus, O.
PY - 2007/10/9
Y1 - 2007/10/9
N2 - This study introduces the differential transform method (DTM) to analyse the free vibration response of an axially loaded, closed-section composite Timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton's principle and solved by applying DTM. The mode shapes are plotted, the natural frequencies are calculated and the effects of the bending-torsion coupling, the axial force and the slenderness ratio on the natural frequencies are investigated using the computer package, Mathematica. Wherever possible, comparisons are made with the studies in open literature.
AB - This study introduces the differential transform method (DTM) to analyse the free vibration response of an axially loaded, closed-section composite Timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton's principle and solved by applying DTM. The mode shapes are plotted, the natural frequencies are calculated and the effects of the bending-torsion coupling, the axial force and the slenderness ratio on the natural frequencies are investigated using the computer package, Mathematica. Wherever possible, comparisons are made with the studies in open literature.
UR - http://www.scopus.com/inward/record.url?scp=34547902504&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2007.05.049
DO - 10.1016/j.jsv.2007.05.049
M3 - Article
AN - SCOPUS:34547902504
SN - 0022-460X
VL - 306
SP - 495
EP - 506
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 3-5
ER -