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Nonlinear free and forced vibrations of graphene nanoplatelet reinforced microbeams with geometrical imperfection

Mirjavadi, S. S ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1007/s00542-018-4277-4
  3. Publisher: Springer Verlag , 2019
  4. Abstract:
  5. Nonlinear free/forced vibration of a functionally graded graphene nanoplatelet (GNP) reinforced microbeam having geometrical imperfection which is rested on a non-linear elastic substrate have been studied in the present research. Graphene Platelets have been uniformly and non-uniformly scattered in the cross section area of the microbeam. Non-uniform distribution of GNPs is considered to be linear or non-linear type. Geometric imperfection is considered similar to the first vibration mode of microbeam. Size effects due to micro-rotations are captured in this study by means of modified couple stress elasticity. In the case of forced vibration, a uniform harmonic load is exerted to the top surface of microbeam. Harmonic balance method has been implemented to solve the non-linear governing equation of microbeam having quadratic and cubic nonlinearities. In this regard, frequency-amplitude curves are obtained and their trends are studied by changing of GNP amount and distribution, geometric imperfection, forced amplitude and hardening foundation. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature
  6. Keywords:
  7. Graphene ; Plates (structural components) ; Reinforcement ; Cubic nonlinearities ; Free and forced vibrations ; Geometric imperfection ; Geometrical imperfections ; Harmonic Balance method ; Modified couple stress ; Non linear governing equations ; Non-uniform distribution ; Geometry
  8. Source: Microsystem Technologies ; Volume 25, Issue 8 , 2019 , Pages 3137-3150 ; 09467076 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00542-018-4277-4