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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Dynamical Balance and Verification of a Rotor System Based on Sensitivity Analysis

Journal of Vcibration Testing and System Dynamics 2(3) (2018) 271--280 | DOI:10.5890/JVTSD.2018.09.007

Zhong Luo$^{1}$,$^{2}$, YanhuiWei$^{1}$,$^{2}$, Xiaojie Hou$^{1}$,$^{2}$, FeiWang$^{1}$,$^{2}$

$^{1}$ School of Mechanical Engineering & Automation, Northeastern University, Shenyang, China

$^{2}$ Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning, China

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In allusion to the unbalanced vibration of rotor system, sensitivity analysis and balance method of rotor system were studied. Based on rotor dynamics, combined sensitivity analysis with the balancing methods of three trial weight and modal, a hybrid method was proposed which can be balanced without phase information. Firstly, the model of rotor was established by the finite element method and the correction plane is selected by the sensitivity analysis. Furthermore, the balance speed is determined according to the modal equilibrium theory and the weight calculation is conducted by the balancing method of three trial weight Finally, a dynamic balance experiment was carried out on the rotor model test station. The results of simulation and experiment show that the proposed balance method can not only effectively reduce the residual vibration of rotor, but avoid the blindness of selecting the correction plane and balance speed by the traditional balance method, which is expected to improve the balance efficiency.


This work was supported by the National Science Foundation of China under the grant number 11572082; the Fundamental Research Funds for the Central Universities of China under the grant numbers N170308028 and N160312001; and the Excellent Talents Support Program in Institutions of Higher Learning in Liaoning Province of China under the grant number LJQ2015038.


  1. [1]  Preciado, D.E. and Bannister, R.H. (2002), Balancing of an experimental rotor without trial runs, International Journal of Rotating Machinery, 8(2), 99-108.
  2. [2]  Gunter, E.J., Springer, H., and Humphris, R.R. (1982), Balancing of a multimass flexible rotor-bearing system without phase measurements, Energia Elettrica, 59(10), 383-389.
  3. [3]  Huang, J.P., Ren, X.M., and Deng, W.Q. (2010), Novel modal balancing of flexible rotor by using the run-up amplitude, Journal of Mechanical Engineering, 46(5), 55-62.
  4. [4]  He, Y.Z., Wang, Z., and Sun, J.W. (1997), Analysis of the unbalance response sensitivity of a rotor bearing system, Journal of Tsinghua University, 37(8), 9-11.
  5. [5]  Yang, J.G. (2001), An improved transfer matrix method for calculating the unbalanced response and sensitivity of a rotor system, Journal of Mechanical Engineering, 37(6), 109-112.
  6. [6]  Huang, J., Ren, X., Deng, W., and Liu, T. (2010), Two-plane balancing of flexible rotor based on accelerating unbalancing response data, Acta Aeronautica Et Astronautica Sinica, 31(2), 400-409.
  7. [7]  Zhang, H.B. (2000), Aero Engine Design Manual Nineteenth, Aeronautical Industry Press: Beijing (in Chinese)
  8. [8]  Yang, X.D., Zhang, W., Chen, L.Q., and et al. (2012), Dynamical analysis of axially moving plate by finite difference method, Nonlinear Dynamics, 67(2), 997-1006.
  9. [9]  Chen, X., and Liao, M.F.(2017), Field balancing technology for low pressure rotors of high bypass ratio turbofan enginers, Journal of Aerospace Power, 32(4), 809-819.
  10. [10]  Cao, H., Zhang, X., Chen, X. (2016), The concept and progress of intelligent spindles: A review, International Journal of Machine Tools & Manufacture, 112, 21-52.
  11. [11]  Zhao, M., Lin, J., Xu, X., and et al. (2014), Multi-fault detection of rolling element bearings under harsh working condition using IMF-based adaptive envelope order analysis, Sensors, 14(11), 20320-20346.
  12. [12]  Zhang, D., Liu, S., Liu, B., and et al. (2013), Investigation on bending fatigue failure of a micro-gear through finite element analysis, Engineering Failure Analysis, 31(6), 225-235.
  13. [13]  Ma, H., Sun, W., Wang, X.J., andWen, B.C. (2009), Characteristic analysis of looseness fault in rotor system, Journal of Northeastern University(Natural Science), 30(3), 400-404.
  14. [14]  Bin, G.F., He, L.D., and Gao, J.J. (2013), High-speed dynamic balancing method for low pressure rotor of a large steam turbine based on modal shape analysis, Vibration and shock, 32(14), 88-92.
  15. [15]  Han, Q. and Chu, F.(2015), Parametric instability of flexible rotor-bearing system under time-periodic base angular motions, Applied Mathematical Modelling, 39(15), 4511-4522.
  16. [16]  Qin, Z., Yan, S., and Chu, F. (2014), Influence of clamp band joint on dynamic behavior of launching system in ascent flight, Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering, 228(1), 97-114.
  17. [17]  Bhende, A.R. (2017), A new rotor balancing method using amplitude subtraction and its performance analysis with phase angle measurement-based rotor balancing method, Australian Journal of Mechanical Engineering, 2017(8), 1-7.