Nonlinear coupled torsional-radial vibration of single-walled carbon nanotubes using numerical methods
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 324
This Paper With 22 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_JCAM-52-4_005
تاریخ نمایه سازی: 26 دی 1400
Abstract:
This paper analyzes the nonlinear coupled torsional-radial vibration of single-walled carbon nanotubes (SWCNTs) based on numerical methods. Two partial differential equations that govern the nonlinear coupled torsional-radial vibration for such nanotube are derived using doublet mechanics (DM) principles. First, these equations are reduced to ordinary differential equations using Galerkin method and then solved using homotopy perturbation method (HPM) to obtain the nonlinear natural frequencies in coupled torsional-radial vibration mode. It is found that the obtained frequencies are complicated due to coupling between two vibration modes. The dependence of boundary conditions, vibration modes and nanotubes geometry on the nonlinear coupled torsional-radial vibration characteristics of SWCNTs are studied in details. It was shown that boundary conditions and maximum vibration velocity have significant effects on the nonlinear coupled torsional-radial vibration response of SWCNTs. It was also seen that unlike the linear model, as the maximum vibration velocity increases, the natural frequencies of vibration increase too. To show the effectiveness and ability of this method, the results obtained with the present method are compared with the fourth order Runge-Kuta numerical results and good agreement is observed. To the knowledge of authors, the results given herein are new and can be used as a basic work for future papers.
Keywords:
Homotopy Perturbation Method , nonlinear coupled torsional-radial vibration , single-walled carbon nano-tubes , natural frequency
Authors
Mohammad Reza Ebrahimian
Faculty of Mechanical Engineering, Kar Higher Education Institute, Qazvin, Iran
zahra azimzadeh
Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran
Alireza Fatahi-Vajari
Department of Mechanical Engineering, Shahryar Branch, Islamic Azad University, Shahryar, Iran
Mojtaba Shariati
Department of Mechanical Engoneering, Shahid Chamran University of Ahwaz, Ahwaz, Iran
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :