Aiac-2005-088 Free Vibration Analysis of a Rotating Tapered Timoshenko Beam
نویسندگان
چکیده
In this study, flapwise bending vibration analysis of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub is performed. The governing differential equations of motion for pure bending are derived using the Hamilton’s principle and solved using the Differential Transform Method, DTM. During the derivation of the equations, effects of rotary inertia, shear deformation and hub radius are included. The computer package Mathematica is used to write a computer program for the resulting expressions and the natural frequencies are calculated and the mode shapes are plotted. The effects of the taper ratio, the rotation speed parameter, the hub radius parameter and the Timoshenko effect parameter are investigated and the results are compared with the open literature.
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