Periodic Properties of 1D FE Discrete Models in High Frequency Dynamics

Finite element discrete models of various engineering 1D structures may be considered as structures of certain periodic characteristics. The source of this periodicity comes from the discontinuity of stress/strain field between the elements. This behaviour remains unnoticeable, when low frequency dy...

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Bibliographic Details
Published in:Mathematical problems in engineering 2016-01, Vol.2016 (2016), p.1-15
Main Authors: Żak, A., Palacz, M., Krawczuk, Marek
Format: Article
Language:English
Subjects:
Accuracy
Discontinuity
Distortion
Dynamic structural analysis
Dynamics
Finite element analysis
Finite element method
High frequencies
Investigations
Mathematical analysis
Mathematical models
Methods
Propagation
Structural response
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Summary:Finite element discrete models of various engineering 1D structures may be considered as structures of certain periodic characteristics. The source of this periodicity comes from the discontinuity of stress/strain field between the elements. This behaviour remains unnoticeable, when low frequency dynamics of these structures is investigated. At high frequency regimes, however, its influence may be strong enough to dominate calculated structural responses distorting or even falsifying them completely. In this paper, certain computational aspects of structural periodicity of 1D FE discrete models are discussed by the authors. In this discussion, the authors focus their attention on an exemplary problem of 1D rod modelled according to the elementary theory.
ISSN:1024-123X
1563-5147
DOI:10.1155/2016/9651430