Study in Balancing Accuracy and Condition Number of Flexible Rotors

Y. Kang, T.-W. Lin, Y.-P. Chang, Y.-P. Wang, and C.-C. Hsueh (Taiwan)


Flexible rotor, Balancing accuracy, Condition number, Influence coefficient method.


The influence of condition number of influence coefficients on balancing accuracy and correction masses is identified in this study for flexible rotor-bearing systems. Generally, the sensitivity against disturbance for a linear system is evaluated by utilizing condition number. In this study, the condition number is conducted to identify the significance for balancing of flexible rotors. The improvement of balancing accuracy is determined by the selections of measurement sensors and/or balancing planes. The tabu search is used to seek the minimum condition number of influence coefficient matrix before balancing. By this method, the locations and quantities of measurement sensors and/or balancing planes are determined in advance for the determination of minimum correction masses or minimum residual response. The significance of condition number in multi-speed balancing can be validated by numerical simulations and the experiments of balancing a rotor kit.

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