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

Table 16

% of the relative errors on the mean of the critical speeds for different regression orders and correlation functions. Symmetric case with 120 samples.

	Gaussian	Linear	Exponential	Cubic
Zero-order regression
	(2.11; 0.07)	(45.07; 1.38)	(32.89; 0.77)	(64.17; 2.17)
	(1.29; 0.04)	(8.73; 0.27)	(6.03; 0.15)	(9.22; 0.49)
	(0.58; 0.02)	(12.39; 0.46)	(8.17; 0.23)	(18.31; 1.15)
	(0.31; 0.02)	(7.33; 0.28)	(2.91; 0.13)	(11.60; 0.72)
	(0.04; 0.00)	(3.79; 0.17)	(1.68; 0.06)	(6.41; 0.45)
	(0.03; 0.00)	(3.95; 0.16)	(1.00; 0.06)	(6.67; 0.44)
	(0.01; 0.00)	(0.97; 0.04)	(0.24; 0.01)	(1.64; 0.12)
	(0.00; 0.00)	(0.56; 0.02)	(0.14; 0.01)	(0.95; 0.07)
First-order regression
	(2.13; 0.07)	(30.38; 0.94)	(24.75; 0.67)	(43.76; 1.25)
	(1.18; 0.05)	(6.24; 0.22)	(6.30; 0.20)	(7.50; 0.43)
	(0.67; 0.03)	(3.69; 0.16)	(2.82; 0.15)	(5.37; 0.28)
	(0.63; 0.03)	(1.88; 0.09)	(1.45; 0.09)	(2.43; 0.16)
	(0.02; 0.00)	(1.01; 0.03)	(0.76; 0.03)	(1.40; 0.06)
	(0.01; 0.00)	(0.27; 0.01)	(0.20; 0.01)	(0.40; 0.02)
	(0.00; 0.00)	(0.14; 0.00)	(0.11; 0.00)	(0.19; 0.01)
	(0.00; 0.00)	(0.01; 0.00)	(0.01; 0.00)	(0.02; 0.00)
Second-order regression
	(1.99; 0.06)	(17.56; 0.49)	(14.06; 0.39)	(24.78; 0.67)
	(1.14; 0.05)	(5.69; 0.14)	(5.01; 0.14)	(6.44; 0.21)
	(0.90; 0.04)	(0.92; 0.08)	(0.66; 0.08)	(1.35; 0.10)
	(0.83; 0.03)	(0.77; 0.04)	(0.79; 0.05)	(0.84; 0.05)
	(0.01; 0.00)	(0.16; 0.00)	(0.14; 0.00)	(0.24; 0.01)
	(0.00; 0.00)	(0.13; 0.00)	(0.11; 0.00)	(0.16; 0.01)
	(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)