Kriging metamodeling approach for predicting the dispersion curves for wave propagating in complex waveguide

Abstract

This study deals with the prediction and analysis of dispersion curves of waveguides, which are known to be critical steps within structural health monitoring (SHM). Despite using more sophisticated methods, such as wave finite element method (WFEM), the determination of the dispersion curves still presents severe numerical difficulties, which can be manifested by high computation time. Then, this paper proposes the metamodeling approach based on kriging theory to overcome the mentioned difficulties. Therefore, the main aim of the present study is to investigate the effectiveness of kriging metamodels when used to predict the WFEM-defined waveguide dispersion curve. Based on numerical simulations, the strategy, which consists of constructing the learning sets for the kriging metamodels using WFEM representations, is shown to be very promising regarding the convenience of the obtained compromise between the accuracy and the computing time.