The natural characteristics and dynamic response of low pressure turbine(LPT) component with damping-sleeve was analyzed by elastic and contact mechanics.For different disturbing forces(single radial exciter and rotating radial exciter),the damping-sleeve has shown great effect in vibration control with the action of "frequency-transfer" and friction damping.The simulation results confirm the validity of the proposed model and method.There are best parameters of damping-sleeve,which lead to the best effect of vibration control.The vibration control of damping-sleeve differs from various modal shapes of LPT component.Some suggestions are given for the design of labyrinth air seals in vibration control according to the analysis.