- Tytuł:
- A multi-spring model for buckling analysis of cracked Timoshenko nanobeams based on modified couple stress theory
- Autorzy:
-
Akbarzadeh Khorshidi, M.
Shariati, M. - Powiązania:
- https://bibliotekanauki.pl/articles/281289.pdf
- Data publikacji:
- 2017
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
buckling
crack
modified couple stress theory
Timoshenko nanobeam
spring model - Opis:
- This paper develops a cracked nanobeam model and presents buckling analysis of this developed model based on a modified couple stress theory. The Timoshenko beam theory and simply supported boundary conditions are considered. This nonclassical model contains a material length scale parameter and can interpret the size effect. The cracked nanobeam is modeled as two segments connected by two equivalent springs (longitudinal and rotational). This model promotes discontinuity in rotation of the beam and additionally considers discontinuity in longitudinal displacement due to presence of the crack. Therefore, this multi-spring model can consider coupled effects between the axial force and bending moment at the cracked section. The generalized differential quadrature (GDQ) method is employed to discretize the governing differential equations, boundary and continuity conditions. The influences of crack location, crack severity, material length scale parameter and flexibility constants of the presented spring model on the critical buckling load are studied.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2017, 55, 4; 1127-1139
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł