To perform the flapwise bending vibration analysis of a rotating cantilever Timoshenko beam.

    Design/methodology/approach

    Kinetic and potential energy expressions are derived step by step. Hamiltonian approach is used to obtain the governing equations of motion. Differential transform method (DTM) is applied to solve these equations.

    Findings

    It is observed that the ρIΩ2θ term which is ignored by many researchers and which becomes more important as the rotational speed parameter increases must be included in the formulation.

    Originality/value

    Kinetic and potential energy expressions for rotating Timoshenko beams are derived clearly step by step. It is the first time, for the best of author's knowledge, that DTM has been applied to the blade type rotating Timoshenko beams.


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    Title :

    Free vibration analysis of a rotating Timoshenko beam by differential transform method


    Contributors:

    Published in:

    Publication date :

    2006-05-01


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English