Vibrations of Microstructured Beams with Axial Force
2020
scientific article
english
- microstructured periodic beams
- slender beams
- effect of microstructure
- tolerance modelling
EN In this contribution there are considered vibrations of microstructured periodic slender beams, with axial force. In order to analyse the effect of the microstructure size of the beams on their vibrations the tolerance modelling method is applied. Using this method there are derived governing equations of two tolerance models –general and standard, base on two various concepts –weakly-slowly-varying functions and slowly-varying functions. These models are applied to obtain formulas of lower order and higher order frequencies with influence of the axial force. To evaluate these results of the modelling the formula of lower order frequencies in the framework of the asymptotic model (neglecting the effect of the microstructure size) is also derived.
2020208-1 - 2020208-8
CC BY (attribution alone)
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