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Structural Engineering and Mechanics Volume 76, Number 3, November10 2020 , pages 413-420 DOI: https://doi.org/10.12989/sem.2020.76.3.413 |
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Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method |
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Ridha A. Ahmed, Nader M. Moustafa, Nadhim M. Faleh and Raad M. Fenjan
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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 | ||
| Key Words | ||
| nonlinear stability; Chebyshev-Ritz method; metal foam; refined beam theory; nonlocal elasticity | ||
| Address | ||
| Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq | ||