DYNAMIC ANALYSIS BY KRIGING-BASED FINITE ELEMENT METHODS

摘要

This paper presents dynamic analyses by finite element methods (FEM) with Kriging shape function (Kriging-based finite element methods). A previous study has shown that Kriging-based FEMis able to furnish remarkably accurate solutions for static problems (Plengkhom and Kanok-Nukulchai, 2005). In this study, the application of Kriging-based FEM is enhanced to dynamic problems. One dimensional (Timoshenko beam) and two dimensional (Mindlin plate) dynamic analyses are conducted. Some numerical examples of free and forced vibration are taken to evaluate the accuracy of the method. For each analysis, the accuracy of Kriging-based FEMis compared with the standard FEM. The results show that Kriging-based FEM significantly improve the accuracy when compared to the standard FEM, especially for two dimensional problems.