Nonlinear dynamic analysis of piezoelectric macro-fiber composite laminated shells
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    Abstract:

    This paper presents the nonlinear dynamical analysis of a multilayer d31 piezoelectric macro-fiber composite (MFC) laminated shell under the transverse excitations, and the effect of the piezoelectric properties on structure vibration response is also studied. The nonlinear dynamic equations of the MFC laminated shell is firstly established. Based on the known geometrical and material properties of its constituents, their electric field dependence was presented. The vibration mode-shape functions are then obtained according to the displacement boundary conditions, and the Galerkin method is employed to transform the partial differential equation into two nonlinear ordinary differential equations. Subsequently, numerical simulation examines the effect of the transverse excitations and the piezoelectric coefficients on the nonlinear vibration of MFC laminated shell. The two-dimensional phase portraits, three-dimensional phase portraits, waveform phase, frequency spectrum phase, and bifurcation diagram are presented and used to investigate the different kinds of the periodic and chaotic motions of (MFC) laminated shell. The results indicate that piezoelectric parameters have a strong effect on the vibration response of the MFC laminated shell.

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History
  • Received:September 27,2016
  • Revised:October 24,2016
  • Adopted:
  • Online: July 09,2017
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