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Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method
Ridha A. Ahmed,Nader M. Mustafa,Nadhim M. Faleh,Raad M. Fenjan 국제구조공학회 2020 Structural Engineering and Mechanics, An Int'l Jou Vol.76 No.3
Considering inverse cotangential shear strain function, the present paper studies nonlinear stability of nonlocal higherorder 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.