Torsional vibration analysis of shafts based on Adomian decomposition method

Abstract

In this paper free torsional vibration of shafts is studi ed 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 app lied to both end of the shaft and firs t 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.