ABSTRACT
Theoretical investigation of dynamic response of nanostructures has become significant owing to their exceptional properties. In this study, vibration of single-walled carbon nanotubes resting on elastic foundation with magnetic and thermal effects under the influence of Electrostatic force is considered. The, Eringen’s nonlocal elastic and Euler-Bernoulli beam theories with Hamiliton principle are use to model nonlinear governing equation of motion. The Galerkin separation technique is applied to decomposed the resulting governing nonlinear mathematical model into spatial and temporal equations and subsequently, the temporal part is solved using an approximate analytical solution called Homotopy Perturbation Method (HPM). Effect of magnetic term, thermal term, nonlocal parameter, linear elastic foundation, nonlinear elastic foundation, Pasternak foundation and Electrostatic force on amplitude-frequency response and time-deflection curves of SWCNTs are discussed in details during parametric studies.
References
- Ansari R., Gholami R. and Ajori S. Torsional Vibration Analysis of Carbon Nanotubes Based on the Strain Gradient Theory and Molecular Dynamic Simulations, Journal of Vibration and Acoustics, 135 (2013) 051016-3
- Behrooz Keshtegar, Reza Kolahchi, Arameh Eyvazian and Nguyen-Thoi Trung, Dynamic Stability Analysis in Hybrid Nanocomposite Polymer Beams Reinforced by Carbon Fibers and Carbon Nanotubes, Polymers, 13 (2021) 106
- Bei-Nan Jia and Yong-Jun Jian, Instability of single-walled carbon nanotubes conveying Jeffrey fluid, Phys. B, 30(4) (2021) 044601
- Daisuke Miyashiroa, Ryo Hamanoa, Hisao Tairac, Kazuo Umemura, Analysis of vibration behavior in single strand DNA-wrapped single-walled carbon nanotubes adhered to lipid membranes, Forces in Mechanics, 2 (2021) 100008
- Gbeminiyi Sobamowo, James Akanmu, Olurotimi Adeleye, Samuel Akingbade, Ahmed Yinusa, Nonlinear Vibration of Multi-Walled Carbon Nanotubes with Initial Curvature Resting on Elastic Foundations in a Nonlinear Thermo-Magnetic Environment, Engineering Transactions, 69(2): (2021) 87–165
- Hossein Aminikhah and Milad Hemmatnezhad, Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions, International Journal of Differential Equations, 20 (2011) 17
- Iman Eshraghi, Seyed K. Jalali and Nicola Maria Pugno, Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory, Materials 9 (2016) 786
- Liyun Zhang, Ying Zhou, Na Zhang, Miao Zhang, Optical Properties of Single-walled Carbon Nanotubes, Journal of Physics: Conference Series 2381, (2022) 012083
- Mahmoud M. Selim and Sherif A. El-Safty, Vibrational analysis of an irregular single-walled carbon nanotube incorporating initial stress effects, Nanotechnology Reviews, 9 (2020)1481–1490
- Mahmoud Mohamed Selim and Awad Musa, Nonlinear Vibration of a Pre-Stressed Water-Filled Single-Walled Carbon Nanotube Using Shell Model, Nanomaterials, 10 (2021) 974
- Manevitcha L. I., Smirnova V. V., Strozzi M., and Pellicano F, Nonlinear optical vibrations of single-walled carbon nanotubes, Procedia Engineering 199 (2017) 705–710
- Maria Anna De Rosa, Isaac Elishakoff, Antonella Onorato and Maria Lippiello, Dynamic Analysis of a Timoshenko-Ehrenfest SWCNT in the Presence of Surface Effects: The Truncated Theory, Preprints, (2021) 3-14
- Maria Anna De Rosa, Maria Lippiello, Antonella Onorato and Isaac Elishakoff, Free Vibration of Single-Walled Carbon Nanotubes Using Nonlocal Truncated Timoshenko-Ehrenfest Beam Theory, Mech, 6 (2021) 700-714
- Matteo Strozzi, Isaac E. Elishakoff, Michele Bochicchio, Marco Cocconcelli, Riccardo Rubini and Enrico Radi, A Comparison of Shell Theories for Vibration Analysis of Single-Walled Carbon Nanotubes Based on an Anisotropic Elastic Shell Model, Nanomaterials, 13 (2021) 1390
- Reddy C. D., Lua C., Rajendran S., Liew K. M, Free vibration analysis of fluid-conveying single-walled carbon nanotubes, Applied Physics Letters, 90 (2017)133122-3
- Saravanakumar R., Pirabaharan P. and Swaminathan R, Analysis of Nonlinear Vibrations of Double Walled Carbon Nanotubes Using the Variational Iteration Method, International Journal of Research, 7 (2018) 342-348
- Senaa S. Hafidh, Hamad M. Hasan, Farag M. Mohammed, Nonlinear Vibration Analysis of Functionally Graded Carbon Nanotubes Sandwich Cylindrical Panels, Al-Nahrain Journal for Engineering Sciences 23(2) (2020)127-136
- Shafiei H And Setoodeh A. R, An analytical study on the nonlinear forced vibration of functionally graded carbon nanotube-reinforced composite beams on nonlinear viscoelastic foundation, Archives of Mechanics, 72 (2) (2020) 81–107
- Yinquan Zhang, Kun Huang and Changxing Zhang, Nonlinear Vibrations of Carbon Nanotubes with Thermal-Electro-Mechanical Coupling, Sci. 13 (2023) 2031
- Yinusa A. A and Sobamowo, Nonlinear Thermal-Magneto Mechanical Vibration Analysis of Single-Walled Embedded Branched Carbon Nanotubes Conveying Nanofluid, ASME Open Journal of Engineering, 2 (2023) 021035
Download all article in PDF
