Vibration analysis of a rotating closed section composite Timoshenko beam by using differentialtransform method

This study introduces the Differential Transform Method(DTM) to analyse the free vibration response of a rotating,closed section, composite, Timoshenko beam which featuresmaterial coupling between flapwise bending and torsionalvibrations due to ply orientation. The governing differentialequations of motion are derived using Hamilton’s principleand solved by applying DTM. The natural frequencies arecalculated and the effects of the bending-torsion coupling, theslenderness ratio and several other parameters on the naturalfrequencies are investigated using the computer package,Mathematica. Wherever possible, comparisons are made withthe studies in open literature.

کلیدواژه ها:

rotating beam ، composite ، natural frequency ، mode shape ، DTM