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STUDY ON THE NONLINEAR VIBRATION OF SWCNTs WITH INITIAL AXIAL STRESS BASED ON THE BIFURCATION THEORY OF DYNAMICAL SYSTEMS.
- Source :
- Modern Physics Letters B; 7/20/2010, Vol. 24 Issue 18, p1979-1986, 8p, 2 Diagrams
- Publication Year :
- 2010
-
Abstract
- The nonlinear dynamical behaviors of single-walled carbon nanotubes (SWCNTs) with the initial axial stress are investigated based on Donnell's cylindrical shell model. By using the bifurcation theory of dynamical systems on a vibration equation of SWCNTs, the existence of centers, saddles, families of periodic orbits, homoclinic orbits and/or heteroclinic orbits is shown. Under different initial conditions, various sufficient conditions to guarantee the existence of the above solutions are given and the dynamical behaviors of SWCNTs are well-known. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02179849
- Volume :
- 24
- Issue :
- 18
- Database :
- Complementary Index
- Journal :
- Modern Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 52357703
- Full Text :
- https://doi.org/10.1142/S0217984910024365