| 压电复合材料梁的全局分叉、混沌动力学分析 |
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| 引用本文： | 姚志刚,张萌,张伟,张君华. 压电复合材料梁的全局分叉、混沌动力学分析[J]. 动力学与控制学报, 2011, 9(3): 207-213 |
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| 作者姓名： | 姚志刚 张萌 张伟 张君华 |
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| 作者单位： | 北京市工业技师学院,北京 100023;北京市工业技师学院,北京 100023;北京工业大学机电学院,北京 100124;北京工业大学机电学院,北京 100124 |
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| 基金项目： | 国家自然科学基金资助项目(11002005) |
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| 摘 要： | 研究了简支压电复合材料层合梁在轴向、横向载荷共同作用下的非线性动力学、分叉和混沌动力学响应.基于yon Karman理论和Reddy高阶剪切变形理论,推导出了压电复合层合梁的动力学方程.利用Galerkin法离散偏微分方程,得到二个自由度非线性控制方程,并且利用多尺度法得到了平均方程.基于平均方程,研究了压电层合梁系统...
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| 关 键 词： | 压电层合复合材料 全局动力学 混沌动力学 |
| 收稿时间： | 2010-12-21 |
| 修稿时间： | 2011-04-15 |
Global bifurcations and chaotic dynamics of laminated composite piezoelectric beam |
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| Yao Zhigang,Zhang Meng,Zhang Wei and Zhang Junhua. Global bifurcations and chaotic dynamics of laminated composite piezoelectric beam[J]. Journal of Dynamics and Control, 2011, 9(3): 207-213 |
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| Authors: | Yao Zhigang Zhang Meng Zhang Wei Zhang Junhua |
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| Affiliation: | Yao Zhigang 1 Zhang Meng 1 Zhang Wei 2 Zhang Junhua 2 (1.Beijing Institute of Industrial technicians,Beijing 100023,China) (2.College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | The nonlinear dynamics,bifurcation and chaotic dynamics of a simply supported laminated composite piezoelectric beam were analyzed.The beam was forced by an axial load and a transverse load.Based on the von Karman-type equations and the Reddy third-order shear deformation plate theory,the nonlinear equations of motions of the laminated composite piezoelectric beam were derived.The Galerkin's approach was employed to discretize the partial differential equations to the ordinary differential equations.The met... |
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| Keywords: | piezoelectric laminated composite material global bifurcations chaotic dynamics |
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