“…Depending on the correlation function, the model can either ''honor the data'' providing an exact interpolation of the data, or ''smooth the data'' providing an inexact interpolation. 18,19 Kriging models are extremely Fexible because a wide range of correlation functions can be chosen in the metamodel building, 19,20 which attract the interests of many authors in the field of space shuttle, 11 wing structures, 21 structural safety, 18 touch probe radius compensation for coordinate measurement in CMMs, 22 sheet-metal-forming processes, designing local cam profile, 23 robust structural design, 24,25 sensitivity of the probabilistic constraint, 26 relationship between the contact pressure and crack width, 27 and path-generating linkage. 28 In this paper, Kriging approximation method is used to evaluate position-dependent natural frequencies for a machine tool and the relative position between the tool and the workpiece during the machining process as well.…”