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Interactive simulation of eigenmodes for instruction of finite element behavior
Author(s) -
Lee Jae Young,
Ryu HeeRyong
Publication year - 2015
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/cae.21659
Subject(s) - finite element method , eigenvalues and eigenvectors , computer science , interactivity , normal mode , element (criminal law) , visualization , smoothed finite element method , dimension (graph theory) , boundary element method , structural engineering , mathematics , artificial intelligence , boundary knot method , physics , vibration , engineering , acoustics , pure mathematics , multimedia , quantum mechanics , law , political science
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 onlinelibrary.com/journal/cae ; DOI 10.1002/cae.21659