In drug delivery systems, carbon nanotubes (CNTs) can be used as molecular channels to transport nanoparticles. In these applications, CNTs are subjected to a moving load, which leads to nonlinear vibrations of the CNTs. Therefore, the main goal of this study is to analyze the bifurcation behavior of CNTs under the effect of moving harmonic load. For this purpose, modeling of the system has been done using the non-local Euler-Bernoulli beam theory and Winkler spring. The Galerkin approach and Runge-Kutta method have been used to discretize and solve the equation of motion, respectively. The effects of the moving load, elastic bed stiffness and non-local elasticity parameter on the nonlinear dynamic response of the system have been investigated by using the bifurcation diagrams, phase plane, power spectrum and Poincare sections. The results indicate various non-linear behaviors such as the jump phenomenon, the periodic, subharmonic and quasi-periodic movements in the system response.
Highlights
Model of an embedded carbon nanotube is formulated by nonlocal Euler–Bernoulli beam theory.
The simply supported CNT is subjected to a traversing harmonic force.
The amplitude of the traversing harmonic force is used as bifurcation parameters.
The effects of the nonlocal parameter on the bifurcation behavior of the CNT are studied.
The effects of the elastic bed stiffness on the bifurcation behavior of the CNT are studied.
Ebrahimi,R and Sajjadnejad,M . (2025). Influence of non-local parameter on period doubling behavior of CNTs conveying nanoparticles. Journal of Theoretical and Applied Vibration and Acoustics, 11(2), 109-122. doi: 10.22064/tava.2025.2049773.1259
MLA
Ebrahimi,R , and Sajjadnejad,M . "Influence of non-local parameter on period doubling behavior of CNTs conveying nanoparticles", Journal of Theoretical and Applied Vibration and Acoustics, 11, 2, 2025, 109-122. doi: 10.22064/tava.2025.2049773.1259
HARVARD
Ebrahimi R, Sajjadnejad M. (2025). 'Influence of non-local parameter on period doubling behavior of CNTs conveying nanoparticles', Journal of Theoretical and Applied Vibration and Acoustics, 11(2), pp. 109-122. doi: 10.22064/tava.2025.2049773.1259
CHICAGO
R Ebrahimi and M Sajjadnejad, "Influence of non-local parameter on period doubling behavior of CNTs conveying nanoparticles," Journal of Theoretical and Applied Vibration and Acoustics, 11 2 (2025): 109-122, doi: 10.22064/tava.2025.2049773.1259
VANCOUVER
Ebrahimi R, Sajjadnejad M. Influence of non-local parameter on period doubling behavior of CNTs conveying nanoparticles. Journal of Theoretical and Applied Vibration and Acoustics. 2025;11(2):109-122. doi: 10.22064/tava.2025.2049773.1259
