Computation of Critical Speeds of Elastics Shafts Considering the Gyroscopic Effect

The analysis of critical speeds of elastic shafts considering gyroscopic effect is performed by the transfer matrix method. A transfer matrix is formulated for free vibration without damping and forced vibrations with damping. A rotor-motor-pump model is analized with both the Finite Element Method (FEM) and Transfer Matrix Method (TMM) to compare and validate the approach. The gyroscopic effect influences in the resonance frequency is analysed.