Complexity

Research Article

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

Table 8

Relative generalization error on the variance of the critical speeds for different regression orders and correlation functions. Nonsymmetric case with 600 samples.
 GaussianLinearExponentialCubic
Zero-order regression
 1.21 1.08 3.97 10−4
 1.51 7.07 10−43.81
 9.90 1.08 4.26 10−3
 5.97 4.14 2.99 10−3
 7.91 10−122.83 5.46
 4.16 10−124.53 7.63
 6.50 10−107.07 1.71
 3.08 10−95.70 8.79
First-order regression
 3.75 2.90 1.71 10−4
 9.63 7.63 5.33 10−4
 8.16 1.10 4.93 10−3
 4.17 4.33 2.41 10−3
 1.81 10−111.15 6.70
 5.73 10−121.62 1.01
 7.46 10−103.33 1.19
 3.28 10−94.25 1.45
Second-order regression
 6.40 10−51.13 6.92
 7.06 6.72 3.25 10−4
 4.89 9.43 3.54 10−3
 2.50 3.54 1.49 10−3
 7.46 10−121.55 8.43
 9.90 10−136.36 3.50
 7.25 10−101.34 1.12
 3.15 10−98.30 3.53