Structural Engineering and Mechanics

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Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method

  • Ahmed, Ridha A. (Al-Mustansiriah University) ;
  • Mustafa, Nader M. (Al-Mustansiriah University) ;
  • Faleh, Nadhim M. (Al-Mustansiriah University) ;
  • Fenjan, Raad M. (Al-Mustansiriah University)
  • Received : 2019.12.20
  • Accepted : 2020.05.18
  • Published : 2020.11.10
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Abstract

Considering inverse cotangential shear strain function, the present paper studies nonlinear stability of nonlocal higher-order refined beams made of metal foams based on Chebyshev-Ritz method. Based on inverse cotangential beam model, it is feasible to incorporate shear deformations needless of shear correction factor. Metal foam is supposed to contain different distributions of pores across the beam thickness. Also, presented Chebyshev-Ritz method can provide a unified solution for considering various boundary conditions based on simply-supported and clamped edges. Nonlinear effects have been included based upon von-karman's assumption and nonlinear elastic foundation. The buckling curves are shown to be affected by pore distribution, geometric imperfection of the beam, nonlocal scale factor, foundation and geometrical factors.

Keywords

Acknowledgement

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq for its support in the present work.

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