| 非惯性参考系中弹性薄板动力系统在纵横振动相互耦合时的全局分岔及混沌性质 |
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| 引用本文： | 赵跃宇,蒋丽忠.非惯性参考系中弹性薄板动力系统在纵横振动相互耦合时的全局分岔及混沌性质[J].固体力学学报,1998(2). |
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| 作者姓名： | 赵跃宇 蒋丽忠 |
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| 作者单位： | 湖南大学工程力学系(赵跃宇)，上海交通大学工程力学系(蒋丽忠) |
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| 摘 要： | 讨论非惯性参考系中弹性薄板动力系统１∶１内共振时的全局分岔及其混沌性质．首先对系统的奇点进行了分析，进而得到了奇点附近同宿轨的参数方程，再用Ｍｅｌｎｉｋｏｖ方法研究了系统的同宿轨分岔及其混沌运动．研究表明，对各种不同共振情形，系统将由同宿轨分岔过渡到混沌运动．最后用数值仿真证实了理论分析的结果．
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| 关 键 词： | 非惯性，弹性薄板，内共振，同宿轨分岔，混沌运动，数值仿真 |
THE GLOBAL BIFURCATION AND CHAOS OF THE COUPLED LONGITUDINAL AND TRANSVERSE VIBRATIONS OF A THIN ELASTIC PLATE IN LARGE OVERALL MOTION |
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| Zhao,Yueyu.THE GLOBAL BIFURCATION AND CHAOS OF THE COUPLED LONGITUDINAL AND TRANSVERSE VIBRATIONS OF A THIN ELASTIC PLATE IN LARGE OVERALL MOTION[J].Acta Mechnica Solida Sinica,1998(2). |
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| Authors: | Zhao Yueyu |
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| Abstract: | The paper studies the global bifurcation and chaotic behavior of the coupled longitudinal and transverse vibrations of a thin elastic plate in large overall motions. Firstly, the parametric equations of the homoclinic orbits of such system are obtained. Then, using Melnikov method and digital simulation, the behaviors of bifurcation and chaos of this vibration system are investigated in the case of different resonances. Obvious difference is found between the transverse vibration and the coupled transverse and longitudinal vibration. |
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| Keywords: | noninertia thin elastic plates internal resonance bifurcation and chaos digital simulation |
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