Nonlinear Dynamic Buckling of FGM Shallow Conical Shells under Triangular Pulse Impact Loads

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Abstract:

In this paper, nonlinear dynamic buckling of FGM shallow conical shells under the action of triangular pulse impact loads are investigated. The nonlinear dynamic governing equation of symmetrically FGM shallow conical shells is built. Using Galerkin method, the nonlinear dynamic governing equation is solved, and the nonlinear dynamic response equation of symmetrically FGM shallow conical shells is obtained. The Runge-Kutta method is introduced to numerically solve the nonlinear dynamic response equation and the impact response curve is achieved. Budiansky-Roth motion criterion expressed by the displacement of the peak of the shell is employed to determine the critical impact buckling load. The influences of geometric parameters and gradient constants on impact buckling are discussed as well.

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119-126

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February 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Gong S W, Lam K Y, Reddy J N. The elastic response of functionally graded cylindrical shells to low-velocity impact[J]. International Journal of Impact Engineering, 1999, 22(4): 397-417.

DOI: 10.1016/s0734-743x(98)00058-x

Google Scholar

[2] Chen Weiqiu, Ye Guiru, Cai Jinbiao, Ding Haojiang. Free Vibration of Transversely Isotropic FGM Rectangular Plates [J]. Journal of Vibration Engineering, 2001, 14(3): 263-267.

DOI: 10.1115/1.2893930

Google Scholar

[3] Yang J, Shen H S. Dynamic response of initially stressed functionally graded rectangular thin plates[J]. Composite Structure, 2001, 54(4): 497-508.

DOI: 10.1016/s0263-8223(01)00122-2

Google Scholar

[4] M. K Ghosh, M. Kanoria, Generalized Thermoelastic Functionally Graded Spherically Isotropic Solid Containing a Spherical Cavity Under Thermal Shock [J]. Applied Mathematics and Mechanics, 2008, 29(10): 1147-1160.

DOI: 10.1007/s10483-008-1002-2

Google Scholar

[5] Xiao Jinsheng, Liu Jie, Pan Chunxu, Xu Xiaorong. Research on Thermal Shock Resistance Properties of Ceramic/Metal Gradient Thermal Barrier Coating[J] Journal of Wuhan University of Technology, 2002, 24(9): 11-14.

Google Scholar

[6] Bud Ianskyb, Roth R S. Axisymmetric dynamic buckling of clamped shallow spherical shells[ J ]. NASA Technical Note, D - 510, 1962: 597 - 609.

Google Scholar

[7] Huang Huai-wei, Han Qiang. Nonlinear Dynamic Stability of Functionally Graded Cylindrical Shells Under Step Loads, Journal of South China University of Technology (Natural Science Edition), 2009, 37(12): 132 – 139.

Google Scholar