- Tytuł:
- A simplified elliptical function solution for coupled nonlinear vibration of multilayer graphene sheets
- Autorzy:
-
Venkatraman, G.
Suji, D. - Powiązania:
- https://bibliotekanauki.pl/articles/2086951.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
nonlinear coupled vibration
nonlinear van der Waals force
Multilayer Graphene Sheets
elliptical function
exact solution - Opis:
- This paper presents a simple exact solution for coupled nonlinear free vibration analysis of Multilayer Graphene Sheets (MLGS) using elliptical functions. Though elliptical functions are used in nonlinear dynamics, they are employed to find the exact solution of a coupled system for the first time. The nonlinear dynamic equation including geometric nonlinearity and Eringen nonlocal theory is uncoupled by elliptical functions, and exact solutions for simply supported boundary conditions are obtained. The results are compared with the harmonic balance method. The nonlinear frequency of MLGS is studied for its effects with a small scale parameter, and the linear and nonlinear van der Waals force.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 3--16
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł