Interactive simulation of eigenmodes for instruction of finite element behavior

Abstract

This paper introduces a new approach to teaching and learning finite element behavior through the interactive simulation of eigenmodes, using a finite element analysis program with functions specialized for this purpose. The eigenvalues and eigenvectors of the stiffness matrix are interpreted in terms of displacement and strain energy modes representing the basic characteristics of an element or an assembly of elements. The eigenmode simulation progresses in connection with actual finite element analysis. The eigenmodes and corresponding model behaviors are simultaneously visualized. Thus, the implication of eigenmodes in the model behaviors can be perceived in association with the practical application of the finite element method. The visualization is updated instantly in response to the change of model type, element order, integration rule, and boundary constraints, etc. Such interactivity is an essential feature of the simulation process for the experimental study of eigenmodes and associated model behaviors. © 2015 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:872–886, 2015; View this article online at wiley http://onlinelibrary.com/journal/cae; DOI

An educational tool based on finite element method for electromagnetic study

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