Kuo Yong-Lin
J Nanosci Nanotechnol. 2014 Mar;14(3):2352-60. doi: 10.1166/jnn.2014.8531.
This paper presents the chaotic analysis of the single-walled carbon nanotubes on elastic medium. Due to small scales of the nanotubes, the nonlocal elastic theory is applied. Besides, due to large-amplitude vibrations of the nanotubes, the geometrical nonlinearity is taken into account, so the von Kármán strain is incorporated. The results show that the period-three oscillation, the chaos and the period-one oscillation are excited by the different excitation amplitudes. In addition, the excitation amplitude of the chaos increases as the nonlocal parameter increases. These results are also validated by the steady-state time responses, the FFT spectrums, the phase portraits, and the Poincaré sections.
本文介绍了弹性介质上单壁碳纳米管的混沌分析。由于纳米管尺寸较小，采用了非局部弹性理论。此外，由于纳米管的大振幅振动，考虑了几何非线性，因此引入了冯·卡门应变。结果表明，不同的激励振幅会激发周期-3振荡、混沌和周期-1振荡。此外，混沌的激励振幅随着非局部参数的增加而增大。这些结果也通过稳态时间响应、快速傅里叶变换频谱、相图和庞加莱截面得到了验证。
