ACTA AERONAUTICAET ASTRONAUTICA SINICA >
A Precise Integration Method on Transient Unbalance Response of Varying Velocity Rotor
Received date: 2013-12-13
Revised date: 2014-06-23
Online published: 2014-07-04
Supported by
National Natural Science Foundation of China (11272257); Aeronautical Science Foundation of China (2013ZB08001);Natural Science Foundation of Shaanxi Province (2013KJXX-22)
In view of the disadvantages of integral precision in dynamic unbalance response of rotors, a linear differential equation with variable coefficient of motion based on transfer matrix method is established, in which the antisymmetric gyroscopic moment and acceleration process are exploited. An efficient algorithm based on precise integration method is formulated to calculate the nonstationary linear system. Integral computation efficiency and instantaneous imbalance identification precision are comparatively validated using the improved precise integration and Newmark-β method. The results show that both algorithms have high integral precision and computational efficiency, but the proposed method is efficient and estimates the response of parameters accurately during the whole accelerating process while the integral error of Newmark-β method is increased at a high rotation speed. The precise algorithm can improve balancing precision by identifying the initial unbalance accurately. In addition, this proposed algorithm is verified with an experimental rotor with both noise and unbalance. The simulation is in a good agreement with the measured values in the running-up procedure.
YUE Cong , REN Xingmin , YANG Yongfeng , DENG Wangqun . A Precise Integration Method on Transient Unbalance Response of Varying Velocity Rotor[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(11) : 3046 -3053 . DOI: 10.7527/S1000-6893.2014.0126
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