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Effect of temperature and porosity on the vibration behavior of two-dimensional functionally graded micro-scale timoshenko beam

Mirjavadi, S. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1177/1077546317721871
  3. Abstract:
  4. This work is aimed to present analysis on the thermal vibrational behavior of two-dimensional functionally graded porous microbeams based on Timoshenko beam theory. According to the power law function, the material composition and so the material properties are varying along thickness and axis of the microbeam. The governing equations are derived on the basis of the couple stress theory and the generalized differential quadrature method is used to solve the equations. The temperature gradient is considered to be uniform and nonuniform across the thickness of the microbeam. The results are presented to show the effect of temperature change, porosity, functionally graded and axially functionally graded power indexes and also micro-scale parameter on the vibration of the microbeam. © The Author(s) 2017
  5. Keywords:
  6. Generalized differential quadrature method ; Modified couple stress theory ; Porous; imperfect microbeam ; Two-dimensional functionally graded material ; Beams and girders ; Differentiation (calculus) ; Functionally graded materials ; Particle beams ; Porosity ; Temperature ; Effect of temperature ; Generalized differential quadrature methods ; Material compositions ; Micro beams ; Modified couple stress theories ; Thermal vibration ; Timoshenko beam theory ; Vibrational behavior ; Vibration analysis
  7. Source: JVC/Journal of Vibration and Control ; Volume 24, Issue 18 , 2018 , Pages 4211-4225 ; 10775463 (ISSN)
  8. URL: https://journals.sagepub.com/doi/abs/10.1177/1077546317721871