- Tytuł:
- Free vibrations spectrum of periodically inhomogeneous Rayleigh beams using the tolerance averaging technique
- Autorzy:
-
Świątek, Marcin
Domagalski, Łukasz
Jędrysiak, Jarosław - Powiązania:
- https://bibliotekanauki.pl/articles/949167.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
periodicity cell
Rayleigh beam
tolerance averaging technique - Opis:
- In this paper, linear-elastic Rayleigh beams with a periodic structure are considered. Dynamics of such beams is described by partial differential equations with non-continuous highly oscillating coefficients. The analysis of dynamic problems using the aforementioned equations is very often problematic to perform. Thus, other simplified models of Rayleigh beams are proposed. Some of these models are based on the concept of the effective stiffness. Among them, one can distinguish the theory of asymptotic homogenization. However, in these models, the size of the mesostructure parameter (the size of a periodicity cell) is often neglected. Therefore, a non-asymptotic averaged model of the periodic beam is introduced, called the tolerance model, which is derived by applying the tolerance averaging technique (TA). The obtained tolerance model equations have constant coefficients, and in contrast to other averaged models, some of them depend on the size of the periodicity cell.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 141-154
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł