Vibration and Stability Analysis of Multiwall Carbon Nanocones on Elastic Foundation Using Nonlocal Theorem

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Fotouhi, Mohammad Mostafa | 2013

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 44067 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Haddadpour, Hassan; Dehghani Firoozabadi, Rouhollah
Abstract:
Carbo nanocones are one of the nanostructures that are investigated and takes a large deal of attention in nanotechnology. In the present study the governing equilibrium equations of motion of carbon nanotubes under external pressure are derived using a nonlocal shell model and first order shear deformation theory. The natural frequency and buckling load are extracted using modal method along with Galerkin technique.Afterthis using both Winkler and Pasternak elastic foundation models, the governing equations of motion of nanocones embedded in the elastic medium extracted using a novel approach with the nonlocal shell model along with Hamilton’s principle. These equations solved using Galerkin’s technique and the instability loading of the nanocone under external loads that are considered as prestresses in the governing equations are investigated. Also the effects of the stiffness of the elastic foundation, small-scale parameter and geometry are surveyed
Keywords:
Elastic Foundation ; Natural Frequency ; Buckling Load ; Nonlocal Theory ; Nanocone

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