Shock and Vibration

Shock and Vibration / 2009 / Article

Open Access

Volume 16 |Article ID 101456 |

Bin Huang, Daiki Fujimura, Paul Allaire, Zongli Lin, Guoxin Li, "Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches", Shock and Vibration, vol. 16, Article ID 101456, 12 pages, 2009.

Constrained Balancing of Two Industrial Rotor Systems: Least Squares and Min-Max Approaches

Received05 Apr 2007
Revised05 Apr 2007


Rotor vibrations caused by rotor mass unbalance distributions are a major source of maintenance problems in high-speed rotating machinery. Minimizing this vibration by balancing under practical constraints is quite important to industry. This paper considers balancing of two large industrial rotor systems by constrained least squares and min-max balancing methods. In current industrial practice, the weighted least squares method has been utilized to minimize rotor vibrations for many years. One of its disadvantages is that it cannot guarantee that the maximum value of vibration is below a specified value. To achieve better balancing performance, the min-max balancing method utilizing the Second Order Cone Programming (SOCP) with the maximum correction weight constraint, the maximum residual response constraint as well as the weight splitting constraint has been utilized for effective balancing. The min-max balancing method can guarantee a maximum residual vibration value below an optimum value and is shown by simulation to significantly outperform the weighted least squares method.

Copyright © 2009 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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