Higher-dimensional chaotic dynamics of a composite laminated piezoelectric rectangular plate
Higher-dimensional chaotic dynamics of a composite laminated piezoelectric rectangular plate
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复合材料叠层压电矩形板的高维混沌动力学
DOI：
10.1007/s11433-009-0225-8
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发表时间：
2009-12
期刊：
影响因子：
--
通讯作者：
中科院分区：
文献类型：
--
作者：
首次给出了代表复合材料叠层压电矩形板平均方程的六维非线性系统的混沌动力学分析。将范式理论与能相法相结合，研究复合材料叠层压电矩形板的高维混沌动力学。首先利用范式理论将六维平均方程简化为更简单的范式。然后，将能量相位方法扩展到分析六维非线性系统的全局分岔和混沌动力学。分析结果表明，复合叠层压电矩形板存在同宿分岔和Shilnikov型多脉冲混沌。最后，还利用数值模拟研究了复合材料叠层压电矩形板的非线性动态特性。数值模拟结果还表明复合叠层压电矩形板存在混沌运动和多脉冲跳跃轨道。
The analysis on the chaotic dynamics of a six-dimensional nonlinear system which represents the averaged equation of a composite laminated piezoelectric rectangular plate is given for the first time. The theory of normal form and the energy-phase method are combined to investigate the higher-dimensional chaotic dynamics of the composite laminated piezoelectric rectangular plate. Firstly, the theory of normal form is used to reduce the six-dimensional averaged equation to the simpler normal form. Then, the energy-phase method is extended to analyze the global bifurcations and chaotic dynamics of a six-dimensional nonlinear system. The analysis results indicate that there exist the homoclinic bifurcation and Shilnikov type multi-pulse chaos for the composite laminated piezoelectric rectangular plate. Finally, numerical simulations are also used to investigate the nonlinear dynamic characteristics of the composite laminated piezoelectric rectangular plate. The results of numerical simulations also demonstrate that there exist the chaotic motions and the multi-pulse jumping orbits of the composite laminated piezoelectric rectangular plate.
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影响因子：
4.1
作者：
Gandhi, Farhan;Anusonti-Inthra, Phuriwat
通讯作者：
Anusonti-Inthra, Phuriwat
DOI：
10.1016/0167-2789(95)00120-s
发表时间：
1995-08
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
G. Haller;S. Wiggins
通讯作者：
G. Haller;S. Wiggins
DOI：
10.1016/0167-2789(93)90071-8
发表时间：
1993-07
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
G. Haller;S. Wiggins
通讯作者：
G. Haller;S. Wiggins
DOI：
10.1007/978-1-4612-1508-0
发表时间：
1999
期刊：
--
影响因子：
--
作者：
G. Haller
通讯作者：
G. Haller
影响因子：
5.6
作者：
P. Pai;A. Nayfeh
通讯作者：
P. Pai;A. Nayfeh