Research Article

Kriging Metamodeling in Rotordynamics: Application for Predicting Critical Speeds and Vibrations of a Flexible Rotor

Table 7

Relative generalization error on the mean of the critical speeds for different regression orders and correlation functions. Nonsymmetric case with 600 samples.

GaussianLinearExponentialCubic

Zero-order regression
1.87 1036.37 3.18
5.47 5.36 4.09 103
6.14 1058.23 2.80
2.06 5.09 6.69 105
5.36 10125.87 1.07
7.71 10126.03 9.83 10−5
1.36 10105.83 9.33
3.90 10105.75 8.86

First-order regression
1.38 1033.85 2.40
3.24 7.49 2.08 103
2.82 1051.46 8.70
2.86 1051.12 9.51
8.26 10131.16 3.89
2.09 10132.78 8.76
1.03 10103.13 1.21
3.51 10109.40 3.77

Second-order regression
8.93 1042.25 1.70
2.19 1036.60 3.26
8.02 1064.64 3.35 10−5
1.15 1056.27 5.20
2.51 10133.02 1.93
1.74 10134.49 2.13
1.23 10104.69 3.76
3.37 10106.96 2.63