Nonlinear stability analysis of eccentrically stiffened S-FGM imperfect plates resting on elastic foundations
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Abstract
Abstract. This paper presents an analytical approach to investigate effects of elastic foundation and stiffeners on the nonlinear buckling behavior of eccentrically stiffened S-FGM imperfect plates subjected to mechanical loads. By using classical plate theory, Bubnov-Galerkin’s method and stress function, the close-form expressions of buckling loads and nonlinear post-buckling load-deflection curves of the S-FGM plates are determined.
Keywords: Nonlinear stability, Eccentrically stiffened S-FGM Plates, Elastic foundations, Classical plate theory.References
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[2] Cheng ZQ and Kitipornchai S (1999). Membrance analogy of buckling and vibration of inhomogeneous plates. ASCE. J Eng Mech; Vol. 125 (11): pp. 1293- 1297.
[3] Duc ND, Nam D and Tung HV (2010). Effects of elastic foundation on nonlinear stability of FGM plates under compressive and thermal loads. Proceedings of the tenth National Conference in Deformable Solid Mechanics, Thai Nguyen, Viet Nam; pp. 191-197.
[4] Duc ND, Cong PH (2013). Nonlinear postbuckling of symmetric S-FGM plates resting on elastic foundations using higher order shear deformation plate theory in thermal environments. Compos Struct, Vol. 100: pp. 556–574.
[5] Najafizadeh MM, Hasani A and Khazaeinejad P (2009). Mechanical stability of functionally graded stiffened cylindrical shells. Appl Math Model, Vol. 33: pp. 1151-1157.
[6] Bich DH, Nam VH and Phuong NT (2011). Nonlinear post-buckling of eccentrically stiffened functionally graded plates and shallow shells. Viet Nam J. Mech VAST Vol. 33 (3): pp. 131-147.
[7] Bich DH, Dung DV and Nam VH (2012). Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels. Compos Struct, Vol. 94: pp. 2465–2473.
[8] Duc ND, Tung HV (2010). Mechanical and thermal post-buckling of shear-deformable FGM plates with temperature-dependent properties. Mechanics of Composite Materials, Vol. 46 (5): pp. 461-476.
[9] Brush DD, Almroth BO (1975). Buckling of bars, plates and shells. Mc. Graw-Hill
[2] Cheng ZQ and Kitipornchai S (1999). Membrance analogy of buckling and vibration of inhomogeneous plates. ASCE. J Eng Mech; Vol. 125 (11): pp. 1293- 1297.
[3] Duc ND, Nam D and Tung HV (2010). Effects of elastic foundation on nonlinear stability of FGM plates under compressive and thermal loads. Proceedings of the tenth National Conference in Deformable Solid Mechanics, Thai Nguyen, Viet Nam; pp. 191-197.
[4] Duc ND, Cong PH (2013). Nonlinear postbuckling of symmetric S-FGM plates resting on elastic foundations using higher order shear deformation plate theory in thermal environments. Compos Struct, Vol. 100: pp. 556–574.
[5] Najafizadeh MM, Hasani A and Khazaeinejad P (2009). Mechanical stability of functionally graded stiffened cylindrical shells. Appl Math Model, Vol. 33: pp. 1151-1157.
[6] Bich DH, Nam VH and Phuong NT (2011). Nonlinear post-buckling of eccentrically stiffened functionally graded plates and shallow shells. Viet Nam J. Mech VAST Vol. 33 (3): pp. 131-147.
[7] Bich DH, Dung DV and Nam VH (2012). Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels. Compos Struct, Vol. 94: pp. 2465–2473.
[8] Duc ND, Tung HV (2010). Mechanical and thermal post-buckling of shear-deformable FGM plates with temperature-dependent properties. Mechanics of Composite Materials, Vol. 46 (5): pp. 461-476.
[9] Brush DD, Almroth BO (1975). Buckling of bars, plates and shells. Mc. Graw-Hill