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Vibration Analysis of Orthotropic Graphene Sheets Using Nonlocal Elasticity Theory in Elastic Support With Different Boundary Conditions

Bayati, Mohammad Reza | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45182 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouzabadi, Rohollah
  7. Abstract:
  8. Nanotechnology with the tools, materials and their applications in areas such as engineering mechanics, materials, electronics, computers, and machines at the nanoscale is dealing. The Fnarvy, atoms and molecules as building materials, engineering bricks counts. In mechanical engineering branch, two aspects are discussed in view of nanotechnology, nano-scale structures and analyzing the behavior of phenomena that occur at the nanoscale. In this project, methods to analyze the behavior of nanoscale materials has been studied.
    The present thesis examines the natural frequencies of nano graphene sheets on elastic foundation deals. The elastic foundation modeled with two springs.At first The governing equations of a shell is derived through Hamilton. Then as for the Eringen theory, these equations are obtained in a non-local theory. The present paper has been done analysis equations by power series. Required to use this method, the differential form of governing equations is achieved.Finally The exact solution of the vibration of plates on elastic foundation is presented. This solution based on thin plates theory. The boundary condition of this plates is assumed that two sides of plate have simply support while others sides of plate have a combination of simply and clamp support
  9. Keywords:
  10. Nanosheet ; Elastic Foundation ; Vibration ; Thin Plates ; Nonlocal Theory

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