Loading...

Analysis of Forced Vibration of Micro-Plates Based On A Modified Couple Stress Theory

Farhadpur, Meraj | 2015

641 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46991 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Asghari, Mohsen
  7. Abstract:
  8. Vibration analysis of micro-structures has been a major topic in recent years. Among them micro-plates play an important role in micro- and nano-electromechanical systems (MEMS and NEMS), e.g. micropumps, micromirrors, and microresonators. Some experimental observations revealed the size-dependent mechanical behavior in micro-scaled structures. Because of the incapability of the classical continuum theory to interpret the experimentally-detected small-scale effects in mechanical behavior of micro-scaled systems, non-classical theories should be used to deal with micron and sub-micron structures. Couple stress theory is one of the non-classical theories with only one length scale parameter. A micro-scale vibration analysis of forced vibration of rectangular micro-plates is done based on a modified couple stress theory. The presence of the length scale parameter in this theory enables us to describe the size effect in microstructures. The free and forced vibration of a rectangular microplate with two opposite edges simply supported and arbitrary boundary conditions along the other edges are considered. The centerline deflection of the rectangular micro-plate when subjected to a harmonic excitation force per unit area is calculated by an analytic approach for the first time in the literature. Also the natural frequencies are computed, using a mixed Ritz-DQ method. The effect of length scale parameter on the centerline deflection and the natural frequencies of the micro-plate are discussed in detail and the numerical results reveal that the intrinsic size dependence of materials leads to decrease the deflection and increase the natural frequency
  9. Keywords:
  10. Modified Couple Stress Theory ; Forced Vibration ; Microplate ; Mixed Ritz Differential Quadrature (DQ)Method ; Vibrational Analysis

 Digital Object List

 Bookmark

No TOC