- Tytuł:
- On the combined asymptotic-tolerance modelling of dynamic problems for thin biperiodic cylindrical shells
- Autorzy:
-
Tomczyk, B.
Litawska, A. - Powiązania:
- https://bibliotekanauki.pl/articles/128002.pdf
- Data publikacji:
- 2018
- Wydawca:
- Politechnika Poznańska. Instytut Mechaniki Stosowanej
- Tematy:
-
micro-periodic cylindrical shells
dynamics
tolerance modelling
length-scale effect
mikroperiodyczne powłoki cylindryczne
dynamika
modelowanie tolerancyjne
efekt skali - Opis:
- The objects of consideration are thin linearly elastic Kirchhoff-Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential and axial directions (biperiodic shells). The aim of this contribution is to formulate and discuss a new averaged general asymptotic-tolerance model for the analysis of selected dynamic problems for the shells under consideration. This model is derived by applying the combined modelling which includes two techniques: the asymptotic modelling procedure and a certain extended version of the known tolerance non-asymptotic modelling technique based on a new notion of weakly slowly-varying function. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, governing equations of the averaged combined model have constant coefficients depending also on a cell size. The differences between the general combined model proposed here and the corresponding known standard combined model derived by means of the more restrictive concept of slowly-varying functions are discussed.
- Źródło:
-
Vibrations in Physical Systems; 2018, 29; 1-9
0860-6897 - Pojawia się w:
- Vibrations in Physical Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł