- Tytuł:
- The analysis of non-linear free vibration of FGM nano-beams based on the conformable fractional non-local model
- Autorzy:
-
Rahimi, Z.
Sumelka, W.
Shafiei, S. - Powiązania:
- https://bibliotekanauki.pl/articles/201202.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
FGM nano beam
nonlinear free vibration
fractional calculus
integer stress
non-integer stress
gradient’s order
fractional non-local model
rachunek różniczkowy
FGM
drgania swobodne - Opis:
- Continuum models generalized by fractional calculus are used in different mechanical problems. In this paper, by using the conformable fractional derivative (CFD) definition, a general form of Eringen non-local theory as a fractional non-local model (FNM) is formulated. It is then used to study the non-linear free vibration of a functional graded material (FGM) nano-beam in the presence of von-Kármán non-linearity. A numerical solution is obtained via Galerkin and multiple scale methods and effects of the integer and non-integer (fractional) order of stress gradient (in the non-local stress-strain relation) on the ratio of the non-local non-linear natural frequency to classical non-linear natural frequency of simply-supported (S-S) and clamped-free (C-F) FGM nano-beams are presented.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 737-745
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł