For analyzing the coupled lateral and torsional vibrations of asymmetric rotor-bearing system, an extended transfer matrix extended from one of the symmetric system is developed. Rather than the conventional “lumped system”, the asymmetric rotating shaft For analyzing the coupled lateral and torsional vibrations of asymmetric rotor-bearing system, an extended transfer matrix extended from one of the symmetric system is developed. Rather than the conventional “lumped system”, the asymmetric rotating shaft