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

Abstract

Purpose

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.

Citation

Kaya, M.O. (2006), "Free vibration analysis of a rotating Timoshenko beam by differential transform method", Aircraft Engineering and Aerospace Technology, Vol. 78 No. 3, pp. 194-203. https://doi.org/10.1108/17488840610663657