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

Abstract

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.

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
MATHEMATICAL PROBLEMS IN ENGINEERING no. 2016, pages 1 - 15,
ISSN: 1024-123X
Language:
English
Publication year:
2016
Bibliographic description:
Żak A., Krawczuk M., Palacz M.: Periodic Properties of 1D FE Discrete Models in High Frequency Dynamics// MATHEMATICAL PROBLEMS IN ENGINEERING. -Vol. 2016, (2016), s.1-15
DOI:
Digital Object Identifier (open in new tab) 10.1155/2016/9651430
Verified by:
Gdańsk University of Technology

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