Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells
This work presents the nonlinear dynamical analysis of a multilayer d31 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...
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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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Series: | Advances in Materials Science and Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/4073591 |
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author | Xiangying Guo Dameng Liu Wei Zhang Lin Sun Shuping Chen |
author_facet | Xiangying Guo Dameng Liu Wei Zhang Lin Sun Shuping Chen |
author_sort | Xiangying Guo |
collection | DOAJ |
description | This work presents the nonlinear dynamical analysis of a multilayer d31 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. |
format | Article |
id | doaj-art-47a24777d8b648258642c24e91948ddf |
institution | Kabale University |
issn | 1687-8434 1687-8442 |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Materials Science and Engineering |
spelling | doaj-art-47a24777d8b648258642c24e91948ddf2025-02-03T07:24:59ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/40735914073591Nonlinear Dynamic Analysis of Macrofiber Composites Laminated ShellsXiangying Guo0Dameng Liu1Wei Zhang2Lin Sun3Shuping Chen4Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCSIC 760 Institute, Dalian, ChinaCollege of Mathematics, Xiamen University of Technology, Xiamen 361024, ChinaThis work presents the nonlinear dynamical analysis of a multilayer d31 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.http://dx.doi.org/10.1155/2017/4073591 |
spellingShingle | Xiangying Guo Dameng Liu Wei Zhang Lin Sun Shuping Chen Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells Advances in Materials Science and Engineering |
title | Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells |
title_full | Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells |
title_fullStr | Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells |
title_full_unstemmed | Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells |
title_short | Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells |
title_sort | nonlinear dynamic analysis of macrofiber composites laminated shells |
url | http://dx.doi.org/10.1155/2017/4073591 |
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