The Application of Ridge Regression in Dynamic Balancing of Flexible Rotors Based on Influence Coefficient Method

Introduction The influence coefficient method applied in thedynamic balancing of rotors is based on the experi-ence that the rotor's vibration amplitude is propor-tional to the unbalancing masses of the rotor with-in the range of practical interest under the assump-tion of linearity of both the machine and measuringsystem.According to the influence coefficient con-ception in mechanics,the influence coefficient ismeasured at a specific location,unite trial weightplaced in some known position in…

The Application of Ridge Regression in Dynamic Balancing of Flexible Rotors Based on Influence Coefficient Method

Based on the model structure of the influence coefficient method analyzed in depth by matrix theory,it is explained the reason why the unreasonable and instable correction masses with bigger MSE are obtained by LS influence coefficient method when there are correlation planes in the dynamic balancing.It also presened the new ridge regression method for solving correction masses according to the Tikhonov regularization theory,and described the reason why the ridge regression can eliminate the disadvantage of the LS method. Applying this new method to dynamic balancing of gas turbine, it is found that this method is superior to the LS method when influence coefficient matrix is ill-conditioned,the minimal correction masses and residual vibration are obtained in the dynamic balancing of rotors.