###### Abstract  
To suppress the vibration of rotary parts, this paper established an unbalanced vibration response control model of rotary parts based on rotating axis coordinate system. This model considered the stacking transformation of geometric parameter errors and mass parameter errors of single stage rotor. First of all, the centroid transfer model based on the actual rotation axis was established, and the unbalanced excitation force vector of each stage of the rotor was studied. Secondly, the unbalanced excitation force vector of each stage of the rotor is substituted into the model of assembly vibration control based on the double constraints optimization strategy. Finally, the simulation analysis and the vibration experiment of three-stage rotor stacking assembly is carried out. The results show that the vibration of the engine rotor can be effectively suppressed by adjusting the assembly phase of the rotors, and the vibration amplitude of the combined rotor assembled by the double constraint optimization assembly strategy is 22.5% less than the vibration amplitude assembled by the direct assembly strategy. Besides, the coaxiality and the unbalance are reduced by 44.1% and 78.4%, which fully shows the advantages of the double constraint optimization assembly strategy. rotary parts; centroid coordinate transformation; double constraint; assembly phase; vibration suppression +
Footnote †: journal: Medical  
of each stage after multi-stage rotors assembly by using space vector projection method. [PERSON] et al. [13] proposed a technique to reduce the problem of rotor misalignment by combining the two-objective optimization of rotor stacking coaxiality and unbalance and studied a method to predict the geometric deviation between the rotating axis and its own centroid axis based on the error measurement of single-stage parts. To improve the rotary parts performance and reduce vibration, more and more researches begin to study vibration suppression [14; 15; 16]. [PERSON] et al. [17] described the methods of rotor fault identification in recent decades, and the results shows that model-based identification has played a significant role in the rapid resolution and quantification of faults. [PERSON] et al. [18] developed a speed-varying transient rigid rotor model and can be used in the active vibration control or active balancing schemes for a rigid rotor. [PERSON] et al. [19] proposed two methods for the identification of the unbalance characteristics, and this technology can identify the axial location of the unbalance, its magnitude and phase. [PERSON] [20] established a new dynamic model for a practical aero-engine which can effectively perform nonlinear dynamic simulations of a whole aero-engine with faults. [PERSON] et al. [21; 22] studied and discussed the effectiveness of vibration damping and proposed a method of vibration measurement by vision. [PERSON] et al. [23] proposed a method to suppress the lateral vibration of rotor system by using grounded nonlinear energy receiver. [PERSON] et al. [24] studied the suppression methods of low-frequency vibration of flywheel energy storage system rotor bearing system, developed the radial magnetic pendulum tuned mass damper and axial magnetic pendulum tuned mass damper to reduce vibration. [PERSON] et al. [25] realized the active vibration control of flexible rotor by using the active magnetic brake with flexible inner stator and proposed an experimental device in line with the topology. Scholars at home and abroad have made remarkable achievements in vibration control of rotor system, and active control methods of rotor vibration are gradually applied. However, the influence of the increase of exciting force caused by errors in assembly process on the vibration of the rotor system is ignored. In this paper, a vibration control method based on coaxiality and unbalance constraints is proposed. The calculation model of vibration and unbalance excitation force is established by using the mass transfer meter based on the actual rotation axis.