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| Nonlinear dynamics of initial geometrical imperfection FGM circular cylindrical shells |
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Abstract A research on the nonlinear dynamics of initial geometrical imperfection clamped-clamped FGM circular cylindrical shell with different volume fractions is presented in this paper. Suppose the effective properties of FGM circular cylindrical shell are geometrical changed of gradient in thickness direction. Based on Classical Shear deformation theory and von-Karman type nonlinear strain-displacement relationship combined with Hamilton’s principle, the clamped-clamped FGM circular cylindrical shell nonlinear partial differential governing equations of motion are obtained. Considering of symmetric mode of clamped-clamped circular cylindrical shell in this paper,Galerkin’s method is utilized to discretize the governing partial equations，the differential form of nonlinear dynamics equation is obtained. Runge-Kutta method is applied for numerical simulation, and plotted its maximum lyapunov index. Numerical results are presented to show the influences of plane loads on the nonlinear dynamics,and the comparison of the influences of different volume fractions on nonlinear dynamics is given.
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Received: 09 March 2015
Published: 28 August 2015
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2015, Vol. 36 
