Research On The Full Vector Spectrum Theory And Its Application In Dynamic Balancing Field

The dynamic balance problem of rotor which as the core components of rotating machinery is increasingly important with the direction development trend of rotating machinery such as high speed, high-power, high accuracy and automation. However because of measurement error, traditional dynamic balancing which based on mono-phyletic information has various drawbacks.According to these disadvantages, the full vector dynamic balancing method is proposed by the combination of traditional influence coefficient method and full vector spectrum theory. Through the research on the rotor dynamic characteristics and condition number of influence coefficient matrix, the high accuracy of the dynamic balance of full vector dynamic balancing method is proved. The optimal balance of surface location choice is suggested in order to improve the accuracy of the full vector dynamic balancing method. The main contents of this paper are following:1、Through the research of the single disc rotor system with mass eccentricity, the rotor imbalance fault mechanism is deduced. Then the influence coefficient method of rigid and flexible rotor is further analyzed, and the various drawbacks of traditional dynamic balancing are proposed. The full vector balancing method and the fast algorithm of imbalance response based on full vector spectrum theory and the influence coefficient method are given to improve the balancing accuracy and efficiency.2、The modeling methods of rotor shaft and bearing system and the dynamic equations of the model are established. And the finite element model of rotor-bearing system is established by using ANSYS, on which the dynamic balancing method is used for double disc and three disc rotor balance.3、Through the analysis of rotor dynamics model, the mathematical formula of influence coefficient matrix is discussed, and the theory that condition number of influence coefficient matrix can measure the accuracy of dynamic balancing is proved. on the finite element model of dynamic balance of rotor-bearing system and BENTLY rotor experimental table, full vector dynamic balancing method and traditional influence coefficient method are used for rotor dynamic balance. The result shows that, the condition number of full vector dynamic balancing method is less than that of traditional influence coefficient method, which proves that full vector dynamic balance method has higher accuracy.4、Through the rotor system vibration analysis, the rotor vibration model and imbalance response by using ANSYS rotor example are obtained. The analysis shows that the choice of surface location has a decisive role to balance influence matrix, and the optimal balance of surface location method by according to the rotor vibration model is put forward. Finally the conclusion is proved by dynamic balance experiment on the ANSYS simulation model.