Static deflection and free vibration analysis of functionally graded and porous cylindrical micro/nano shells based on the three-dimensional elasticity and modified couple stress theories

• Hamzeh Salehipour ^[1] ; Davoud Shahgholian-Ghahfarokhi ^[2] ; Amin Shahsavar ^[3] ; Omer Civalek ^[4] ; Mahmoud Edalati ^[1]
  1. [1] Ilam University

     Ilam University

     Irán

     
  2. [2] Tarbiat Modares University

     Tarbiat Modares University

     Irán

     
  3. [3] Kermanshah University of Technology

     Kermanshah University of Technology

     Irán

     
  4. [4] Akdeniz University

     Akdeniz University

     Turquía

     

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 50, Nº. 6, 2022, págs. 2184-2205
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this work, for the first time, bending and free vibration of porous and functionally graded cylindrical micro/nano shells are studied based on the modified couple stress and three dimensional elasticity theories.

    The well-known power law and even type function are respectively used to consider the variation of functionally graded material properties and porosity distribution. The governing equations are extracted using the Hamilton’s principle. The generalized differential quadrature method is applied to solve the governing equations of cylindrical micro/nano shells with simply supported boundary conditions. In the numerical result section, the influence of gradient of material properties, porosity volume fraction, and length scale parameter on the bending and free vibration of micro/nano shells are studied. The results of present article can be used as a benchmark for validating future mechanical studies of micro/nano shells.