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Structural Engineering and Mechanics Volume 66, Number 5, June10 2018 , pages 621-629 DOI: https://doi.org/10.12989/sem.2018.66.5.621 |
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Nonlinear dynamic analysis of SWNTs conveying fluid using nonlocal continuum theory |
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Seyed Ali Hosseini Kordkheili, Taha Mousavi and Hamid Bahai
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| Abstract | ||
| By employing the nonlocal continuum field theory of Eringen and Von Karman nonlinear strains, this paper presents an analytical model for linear and nonlinear dynamics analysis of single-walled carbon nanotubes (SWNTs) conveying fluid with different boundary conditions. In the linear analysis the natural frequencies and critical flow velocities of SWNTs are computed. However, in the nonlinear analysis the effect of nonlocal parameter on nonlinear dynamics of cantilevered SWNTs conveying fluid is investigated by using bifurcation diagram, phase plane and Poincare map. Numerical results confirm existence of chaos as well as a period-doubling transition to chaos. | ||
| Key Words | ||
| fluid conveying single-walled carbon nanotube; nonlocal continuum field theory; Von Karman nonlinear strain; chaos | ||
| Address | ||
| Seyed Ali Hosseini Kordkheili and Taha Mousavi: Aerospace Engineering Department, Sharif University of Technology, Azadi Ave., Tehran, Iran Hamid Bahai: School of Engineering and Design, Brunel University, Uxbridge, UB8 3PH, London, U.K. | ||