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Nonlinear Vibration Analysis of Circular Microplate Based on Strain Gradient Theory

Faghihi, Mohammad Amin | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50592 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Asghari, Mohsen
  7. Abstract:
  8. Nowadays the combination of mechanical and electronic systems in small scales is gaining attention. Micro electro-mechanical systems are widely used in various industries such as car manufacturing and electronic chips. In these devices, the most important and useful mechanical structures are beams and plates. Therefore, investigating the mechanical properties of these structures in very small scales (micro and nano) is of great importance. Decreasing the size to these scales leads to the dependence of the behavior of these structures to size. Accordingly, some theories for prediction of these behaviors have been presented, one of which is the strain gradient theory. This theory is used in this thesis for the investigation of geometrically non-linear vibration of microplates, with the focus on the circular microplates in axisymmetric conditions. The Kirchhoff plate model and the von Karman strain measure are utilized to model the microplates. After writing the governing equations, the DQM method is use to discretize and solve the equations numerically. In the numerical examples, the effects of the vibration amplitude and the plate thickness on the frequency of vibration of the strain-gradient plates have been focused
  9. Keywords:
  10. Strain Gradient Theory ; Nonlinear Vibration ; Microplate ; Elastic Properties ; Circular Plate ; Vibrational Analysis

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