Investigation of coupled instability for shear flexible FG sandwich I-beams subjected to variable axial force

Namil Kim1, Jae Hong Lee1
1Department of Architectural Engineering, Sejong University, 209, Neungdong-ro, Gwangjin-gu, Seoul 05006, South Korea

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Dung, D.V., Hoai, B.T.T., Hoa, L.K.: Postbuckling nonlinear analysis of FGM truncated conical shells reinforced by orthogonal stiffeners resting on elastic foundations. Acta Mech. 228, 1457–1479 (2017)

Dung, D.V., Nga, N.T.: Buckling and postbuckling nonlinear analysis of imperfect FGM plates reinforced by FGM stiffeners with temperature-dependent properties based on TSDT. Acta Mech. 227, 2377–2401 (2017)

Ning, W.B., Zhang, J.G., Chen, W.D.: Dynamics and stability of a functionally graded cylindrical thin shell containing swirling annular fluid flow including initial axial loads. Acta Mech. 227, 2157–2170 (2016)

Kiani, Y.: Buckling of FG-CNT-reinforced composite plates subjected to parabolic loading. Acta Mech. 228, 1303–1319 (2017)

Abdollahi, M., Saidi, A.R., Mohammadi, M.: Buckling analysis of thick functionally graded piezoelectric plates based on the higher-order shear and normal deformable theory. Acta Mech. 226, 2479–2510 (2015)

Aydogdu, M.: Semi-inverse method for vibration and buckling of axially functionally graded beams. J. Reinf. Plast. Compos. 27, 683–691 (2008)

Shahba, A., Attarnejad, R., Hajilar, S.: Free vibration and stability of axially functionally graded tapered Euler–Bernoulli beams. Shock Vib. 18, 683–696 (2011)

Shahba, A., Attarnejad, R., Tavanaie, M.M., Hajilar, S.: Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions. Compos. Part B 42, 801–808 (2011)

Ma, L.S., Lee, D.W.: A further discussion of nonlinear mechanical behavior for FGM beams under in-plane thermal loading. Compos. Struct. 93, 831–842 (2011)

Fallah, A., Aghdam, M.M.: Thermo-mechanical buckling and nonlinear free vibration analysis of functionally graded beams on nonlinear elastic foundation. Compos. Part B 43, 1523–1530 (2012)

Fu, Y., Wang, J., Mao, Y.: Nonlinear analysis of buckling, free vibration and dynamic stability for the piezoelectric functionally graded beams in thermal environment. Appl. Math. Model 36, 4324–4340 (2012)

Mohanty, S.C., Dash, R.R., Rout, T.: Parametric instability of a functionally graded Timoshenko beam on Winkler’s elastic foundation. Nucl. Eng. Des. 241, 2698–2715 (2011)

Yaghoobi, H., Torabi, M.: Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation. Appl. Math. Model 37, 8324–8340 (2013)

Vo, T.P., Thai, H.T., Nguyen, T.K., Inam, F., Lee, J.: A quasi-3D theory for vibration and buckling of functionally graded sandwich beams. Compos. Struct. 119, 1–12 (2015)

Vo, T.P., Thai, H.T., Nguyen, T.K., Maheri, A., Lee, J.: Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory. Eng. Struct. 64, 12–22 (2014)

Vetyukov, Y.: Nonlinear Mechanics of Thin-Walled Structures. Springer, Berlin (2014)

Vetyukov, Y.: Direct approach to elastic deformations and stability of thin-walled rods of open profile. Acta Mech. 200, 167–176 (2008)

Vetyukov, Y.: Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip. Acta Mech. 223, 371–385 (2010)

Vlasov, V.Z.: Thin Walled Elastic Beams, 2nd edn. Israel Program for Scientific Transactions, Jerusalem (1961)

Lanc, D., Turkalj, G., Vo, T.P., Brnić, J.: Nonlinear buckling behaviours of thin-walled functionally graded open section beams. Compos. Struct. 152, 829–839 (2016)

Reddy, J.N.: Analysis of functionally graded materials. Int. J. Numer. Methods Eng. 47, 663–684 (2000)

Oh, S.Y., Librescu, L., Song, O.: Vibration and instability of functionally graded circular cylindrical spinning thin-walled beams. J. Sound Vib. 285, 1071–1091 (2005)

Kim, M.Y., Chang, S.P., Kim, S.B.: Spatial stability and free vibration of shear flexible thin-walled elastic beams. I: analytical approach. Int. J. Numer. Meth. Eng. 37, 4097–4115 (1994)

Kollá, L.P., Springer, G.S.: Mechanics of Composite Structures. Cambridge University Press, Cambridge (2003)

Cook, R.D., Malkus, D.S., Plesha, M.E., Witt, R.J.: Concepts and Applications of Finite Element Analysis, 4th edn. Wiley, New York (2001)

IMSL: Microsoft IMSL Library, Microsoft Corporation (1995)

Timoshenko, S.P., Gere, J.M.: Theory of Elastic Stability, 2nd edn. McGraw-Hill, New York (1961)

Shin, D.K., Kim, C.Y., Kim, J.W.: Buckling analysis of laminated composite thin-walled I-beam under axial load. KSCE 20, 143–157 (2001)

Back, S.Y., Will, K.M.: Shear-flexible thin-walled element for composite I-beams. Eng. Struct. 30, 1447–1458 (2008)