Loading...
Vibration and Buckling Analysis of Multi-walled Carbon Nanocone by Molecular Mechanics Approach and Stability Analysis of Carbon Nanocone Conveying Fluid
Rasouli Gandomani, Morteza | 2013
626
Viewed
- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 44579 (45)
- University: Sharif University of Technology
- Department: Aerospace Engineering
- Advisor(s): Haddadpour, Hassan
- Abstract:
- In this thesis, vibration analysis of multi-walled carbon nanoconesstudied by molecular mechanics approach. In this simulation, atoms of carbon and bondings of them modeled by concentrated mass and structural elements, respectively and then mode shapes and natural frequencies of these structures calculated and effects of height, apex angle, boundary conditions and number of layers on natural frequencies of carbon nanocones studied. Also, critical buckling load of multi-walled carbon nanocones due to axial and in-plane loads obtained and effects of height, apex angle and number of layers on critical buckling loads of carbon nanocones studied. These results validated by molecular dynamics and Eringen’s nonlocal shell model. According to molecular dynamics method, total energy of atoms calculated that includes of stretch, torsion, bending and van der waals potential energies and cross terms and it compared with obtained energy from quantum mechanics according to calculated natural frequencies in molecular mechanics simulation. Also, some elastic properties of CNC obtained by equaling potential energy and ultimate strain energy. Also, natural frequencies and critical buckling loads of MWCNC calculated by nonlocal theory for different values of scale factor parameter and then optimized scale factor presented. Finally, stability analysis of SWCNC conveying fluid studied and dimensionless divergence velocities calculated by solving eigen-value problem of fluid-solid coupled relations and effects of height and apex angle of CNC studied on dimensionless divergence velocities
- Keywords:
- Molecular Mechanics ; Multi-Walled Carbon Nanocone ; Nonlocal Shell Theory ; Scale Effect ; Divergence Velocity ; Quantum Mechanics
- محتواي کتاب
- view