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Abstract
Modelling of high frequency dynamic responses of engineering structures, especially those related to wave propagation, is a real numerical challenge. Nowadays most of numerical models, used for that purpose, are based on the application of various finite element techniques. However, finite element discrete models may also be considered as possessing certain periodic structures, which may manifest themselves in particular scenarios. The source of their periodicity comes from the discontinuity of the stress/strain field between adjacent finite elements, which usually are ignored by modellers as having no influence on numerical results. Indeed, their influence remains unnoticeable, when low frequency dynamics is investigated. On the other hand at high frequency regimes its influence may be strong enough to dominate calculated structural dynamic responses distorting or even falsifying them completely. In this paper certain issues of modelling of high frequency dynamic responses by finite element techniques are discussed by the authors. In this discussion the authors focus their interest on exemplary problems related to modal analysis as well as wave propagation, with a special attention paid to the periodicity of numerical finite element models. The authors also present and discuss certain methods to minimise, or avoid, the numerical issues mentioned.
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- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Title of issue:
- 14th Conference on Dynamical Systems: Theory and Applications strony 611 - 622
- Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Żak A., Krawczuk M., Redlarski G., Waszkowiak W.: Modelling of high frequency dynamic responses of engineering structures// 14th Conference on Dynamical Systems: Theory and Applications/ ed. Jan Awrejcewicz, Marek Kazimierczak, Jerzy Mrozowski, Paweł Olejnik Łódź: , 2017, s.611-622
- Verified by:
- Gdańsk University of Technology
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