期刊
COMPOSITE STRUCTURES
卷 94, 期 3, 页码 1075-1086出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2011.11.004
关键词
Circular cylindrical shell; Functionally graded materials; Clamped; Nonlinear dynamics
资金
- National Natural Science Foundation of China (NNSFC) [10972026, 11072008, 10732020]
- Jurisdiction of Beijing Municipality (PHRIHLB) [PHR201007234, SQKM201211232001]
An analysis on the nonlinear dynamics of a clamped-clamped FGM circular cylindrical shell subjected to an external excitation and uniform temperature change is presented in this paper. Material properties of the constituents are assumed to be temperature-independent and the effective properties of FGM cylindrical shell are graded in thickness direction according to a simple power law function in terms of the volume fractions. Based on the first-order shear deformation shell theory and von Karman type nonlinear strain-displacement relationship, the nonlinear governing equations of motion are derived by using Hamilton's principle. Galerkin's method is then utilized to discretize the governing partial equations to a two-degree-of-freedom nonlinear system including the quadratic and cubic nonlinear terms under combined external excitations. Numerical results including the bifurcations, waveform, phase plots and Poincare maps are presented for clamped-clamped FGM cylindrical shells showing the influences of material gradient index, the thickness and the external loading on the nonlinear dynamics. (C) 2011 Elsevier Ltd. All rights reserved.
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