Taking all design parameters into account

this model was applied for dynamic design of aero-engine high pressure rotors in practice. The influences of design parameters on the vibration features of the rotors were revealed

and an estimation method of critical speeds of rotor was theoretically proven

giving a clear limit value estimation of critical speeds of rotor. A design criterion of the stiffness was suggested with different effects two orders critical responses. A special phenomenon of critical speeds was observed

and a certain combination of rotor parameters can result in an additional critical speed

at which the damper will not reduce the vibration and the vibration peak will reach a very high level. This critical speed is defined as parameter critical speed. The parameter conditions corresponding to this critical speed were obtained

giving important guidelines for the design of high pressure rotors of aero-engines.