Torsional vibration analysis of shafts based on Adomian decomposition method

Abstract

In this paper free torsional vibration of shafts is studied using a new approach of solving differential equations called Adomian decomposition method (ADM). Applying this method to free torsional vibration of shafts means a systematic and straightforward procedure for calculating both low and high frequency modes. In this paper different boundary conditions are applied to both end of the shaft and first five natural frequencies and mode shapes are calculated for four different cases. Obtained results are compared with results presented in literature. These results demonstrate that ADM is a suitable approach for analysis of free torsional vibration of shafts which provides precise results with high order of accuracy.