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Nonlinear vibration and buckling of functionally graded porous nanoscaled beams

  • Seyed Sajad Mirjavadi
  • Behzad Mohasel Afshari
  • Mohammad Khezel
  • Navvab Shafiei
  • Samira Rabby
  • Morteza Kordnejad
Technical Paper

Abstract

Although many researchers have studied the vibration and buckling behavior of porous materials, the behavior of porous nanobeams is still a needed issue to be studied. This paper is focused on the buckling and nonlinear vibration of functionally graded (FG) porous nanobeam for the first time. Nonlinear Von Kármán strains are put into consideration to study the nonlinear behavior of nanobeam based on the Euler–Bernoulli beam theory. The nonlocal Eringen’s theory is used to study the size effects. The mechanical properties of ceramic and metal are used to model the functionally graded material through thickness, and the boundary conditions are considered as clamped–clamped (CC) and simply supported–simply supported (SS). The generalized differential quadrature method (GDQM) is used in conjunction with the iterative method to solve the equations. The parametric study is done to examine the effects of nonlinearity, porosity, sized effect, FG index, etc., on the vibration and buckling of porous nanobeam.

Keywords

Nonlinear vibration Functionally graded Nonlocal nanobeam Porous GDQM 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no competing interests.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.School of Mechanical Engineering, College of EngineeringUniversity of TehranTehranIran
  2. 2.School of Mechanical Engineering, College of EngineeringSharif University of TechnologyTehranIran
  3. 3.Department of MathematicPayame Noor University (PNU)TehranIran
  4. 4.Department of Mechanical EngineeringPayame Noor University (PNU)TehranIran
  5. 5.Department of Information Technology, College of EngineeringPayame Noor University (PNU)TehranIran
  6. 6.Catalysis and Nano-Structured Materials Laboratory, School of Chemical Engineering, College of EngineeringUniversity of TehranTehranIran

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