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

Table 12

% of the relative errors on the mean values of the critical speeds for different regression orders and correlation functions. Symmetric case with 350 samples.

	Gaussian	Linear	Exponential	Cubic
Zero-order regression
	(1.20; 0.02)	(18.85; 0.49)	(13.84; 0.21)	(32.36; 0.57)
	(0.98; 0.02)	(5.74; 0.13)	(4.55; 0.06)	(5.35; 0.14)
	(0.08; 0.02)	(4.17; 0.15)	(2.82; 0.08)	(7.54; 0.25)
	(0.06; 0.01)	(2.08; 0.11)	(1.01; 0.05)	(4.48; 0.19)
	(0.01; 0.00)	(1.16; 0.06)	(0.59; 0.02)	(2.95; 0.11)
	(0.00; 0.00)	(1.17; 0.06)	(0.46; 0.02)	(2.85; 0.11)
	(0.00; 0.00)	(0.32; 0.02)	(0.12; 0.01)	(0.78; 0.03)
	(0.00; 0.00)	(0.19; 0.01)	(0.07; 0.00)	(0.47; 0.02)
First-order regression
	(1.60; 0.02)	(13.44; 0.36)	(10.57; 0.19)	(18.52; 0.37)
	(15.50; 0.08)	(5.03; 0.10)	(4.21; 0.07)	(5.00; 0.10)
	(0.08; 0.02)	(1.23; 0.07)	(0.91; 0.06)	(1.87; 0.07)
	(0.06; 0.01)	(0.62; 0.04)	(0.51; 0.04)	(1.24; 0.05)
	(0.01; 0.00)	(0.34; 0.01)	(0.26; 0.01)	(0.49; 0.01)
	(0.00; 0.00)	(0.09; 0.00)	(0.07; 0.00)	(0.14; 0.00)
	(0.00; 0.00)	(0.05; 0.00)	(0.04; 0.00)	(0.07; 0.00)
	(0.00; 0.00)	(0.00; 0.00)	(0.00; 0.00)	(0.01; 0.00)
Second-order regression
	(2.53; 0.07)	(7.95; 0.19)	(6.49; 0.12)	(10.18; 0.19)
	(9.83; 0.06)	(4.02; 0.07)	(3.52; 0.05)	(4.69; 0.06)
	(0.27; 0.02)	(0.51; 0.04)	(0.56; 0.04)	(0.55; 0.03)
	(0.26; 0.01)	(0.68; 0.03)	(0.70; 0.03)	(0.70; 0.02)
	(0.01; 0.00)	(0.06; 0.00)	(0.05; 0.00)	(0.08; 0.00)
	(0.00; 0.00)	(0.04; 0.00)	(0.03; 0.00)	(0.06; 0.00)
	(0.00; 0.00)	(0.00; 0.00)	(0.00; 0.00)	(0.00; 0.00)
	(0.00; 0.00)	(0.00; 0.00)	(0.00; 0.00)	(0.00; 0.00)