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

Abstract

PurposeTo perform the flapwise bending vibration analysis of a rotating cantilever Timoshenko beam.Design/methodology/approachKinetic 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.FindingsIt 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/valueKinetic 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.