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Advances in Materials Science and Engineering
Volume 2017, Article ID 4073591, 17 pages
https://doi.org/10.1155/2017/4073591
Research Article

Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells

1Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
2CSIC 760 Institute, Dalian, China
3College of Mathematics, Xiamen University of Technology, Xiamen 361024, China

Correspondence should be addressed to Wei Zhang; moc.oohay@0gnahzydnas

Received 16 November 2016; Accepted 26 March 2017; Published 9 May 2017

Academic Editor: Zhengong Zhou

Copyright © 2017 Xiangying Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This work presents the nonlinear dynamical analysis of a multilayer piezoelectric macrofiber composite (MFC) laminated shell. The effects of transverse excitations and piezoelectric properties on the dynamic stability of the structure are studied. Firstly, the nonlinear dynamic models of the MFC laminated shell are established. Based on known selected geometrical and material properties of its constituents, the electric field of MFC is presented. The vibration mode-shape functions are obtained according to the boundary conditions, and then the Galerkin method is employed to transform partial differential equations into two nonlinear ordinary differential equations. Next, the effects of the transverse excitations on the nonlinear vibration of MFC laminated shells are analyzed in numerical simulation and moderating effects of piezoelectric coefficients on the stability of the system are also presented here. Bifurcation diagram, two-dimensional and three-dimensional phase portraits, waveforms phases, and Poincare diagrams are shown to find different kinds of periodic and chaotic motions of MFC shells. The results indicate that piezoelectric parameters have strong effects on the vibration control of the MFC laminated shell.