Nonlinear dynamics of FGM circular cylindrical shell with clamped-clamped edges

By Wei Zhang, Yuxin Hao, Junliang Yang. 2012

179 citations recorded by the source corpus.

Abstract 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.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6f0b020f0017c745d94630cef1b8ae92e8bea673

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In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Buckling and free vibrations of CNT-reinforced cross-ply laminated composite plates (2020, background): “Also, large amplitude vibration responses of composite plates made of functionally graded materials are investigated (Hao et al. 2008; Zhang, Yang, and Hao 2010; Hao, Zhang, and Yang 2011, 2014; Zhang, Hao, and Yang 2012; Zhang et al. 2012).”
Non-linear vibrations of shells: A literature review from 2003 to 2013 (2014, background): “Non linear dynamics and bifurcations of FG shells subjected to large amplitude harmonic radial loads were investigated by Hao et al. [279,280] and Zhang et al. [281].”