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Yamini_Bode_Masters thesis.pdf (2.68 MB)

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Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet

Bode, Yamini
http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

Abstract Details

2018, Master of Science in Engineering, University of Akron, Mechanical Engineering.
Nanostructured materials with superior physical properties hold promise for the development of novel nanodevices. Full potential applications of such advanced materials require study of vibrational analysis to reduce equipment downtime and maintenance cost of the unit by detecting the experimental faults when applied in industries, in general, it is a study concerning the system under oscillatory motion about a stable equilibrium position focusing on the analysis not the design of the systems. Which in turn necessitates the development of computer-based simulations along with novel experimental techniques. Since controlled experiments are difficult for nanoscale materials and atomic studies are computationally expensive, continuum mechanics-based simulations of nanomaterials and nanostructures have become the focal points of computational nanoscience and materials modeling. In this thesis, the free and forced vibrations of coupled coaxial carbon nanotube in the vicinity of graphene sheet using Euler Bernoulli beam model for free-free end conditions are studied. The multiwalled carbon nanotube can be studied by considering each of the nested nanotubes to be a Euler Bernoulli beam and coupled through the Van der Waals forces. Damping is also considered and modeled using a Kelvin-Voigt damping model. Using the estimated Van der Waals interaction energy potential using Lennard-Jones potential expressed as a function of interlayer spacing. Equilibrium distance affects the natural frequencies of the system and is calculated in the thesis. To study the forced response of coupled co-axial nanotube with damping a modal analysis is performed assuming graphene has a harmonic excitation. There is a necessity to develop a solution method to determine the response of a system for all times and even after the excitation is removed. Many excitations change form at the discrete time, so it is convenient to determine a unified mathematical form of response. In this Thesis, the solution is determined using the convolution integral as it provides a most general closed form of the solution also it only requires an evaluation of integral and is easy to apply. The forcing function is assumed as a function of distance along nanotube and time.
Graham Kelly, Dr. (Advisor)
Alper Buldum, Dr. (Committee Member)
105 p.
Automotive Materials; Chemistry; Design; Engineering; Mechanical Engineering; Mechanics; Molecular Chemistry; Nanoscience; Nanotechnology
Engineering, Mechanical Engineering, Vibration analysis, Carbon nanotubes, a Graphene sheet, Van der Waals, Free and Forced vibrations, damping, continuum mechanics modeling, Nanomaterial, Kelvin Voigt damping, Euler Bernoulli beam

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Citations

  • Bode, Y. (2018). Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

    APA Style (7th edition)

  • Bode, Yamini. Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet. 2018. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521.

    MLA Style (8th edition)

  • Bode, Yamini. "Vibration analysis of coupled coaxial carbon nanotube with damping in the presence of graphene sheet." Master's thesis, University of Akron, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1533846556736521

    Chicago Manual of Style (17th edition)

akron1533846556736521
344
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This open access ETD is published by University of Akron and OhioLINK.