| 作大运动弹性薄板中的几何非线性与耦合变形 |
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| 引用本文： | 蒋丽忠,洪嘉振. 作大运动弹性薄板中的几何非线性与耦合变形[J]. 力学学报, 1999, 31(2): 243-249. DOI: 10.6052/0459-1879-1999-2-1995-025 |
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| 作者姓名： | 蒋丽忠 洪嘉振 |
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| 作者单位： | 上海交通大学工程力学系 |
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| 基金项目： | 国家自然科学基金，博士点基金 |
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| 摘 要： | 导出作大范围刚体运动弹性薄板包括了几何非线性和中面变形之间的相互耦合（耦合变形）的动力学控制方程．分析了几何非线性和耦合变形各自对系统动力学性质的影响，得到了在传统方法上只考虑几何非线性，系统将通过同宿轨分岔过渡到混沌运动；若在传统方法上考虑耦合变形，系统稳定且数值解收敛，与实际情形相符．
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| 关 键 词： | 弹性薄板 大范围运动 几何非线性 耦合变形 |
DYNAMICS OF THIN ELASTIC PLATES IN LARGE OVERALL MOTIONS CONSIDERING GEOMETRIC NON-LINEARITY AND COUPLING DEFORMATION |
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| Jiang Lizhong, Hong Jiazhen. DYNAMICS OF THIN ELASTIC PLATES IN LARGE OVERALL MOTIONS CONSIDERING GEOMETRIC NON-LINEARITY AND COUPLING DEFORMATION[J]. chinese journal of theoretical and applied mechanics, 1999, 31(2): 243-249. DOI: 10.6052/0459-1879-1999-2-1995-025 |
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| Authors: | Jiang Lizhong Hong Jiazhen |
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| Abstract: | The dynamical equations of thin elastic plates in large overall motions considering theeffects of geometric non-linearity and coupling deformation are obtained in this paper, and whicheffects to the dynamics of this system are analyzed. The plots of phase plane and time historyin case of considering geometric non-linearity and coupling deformation and only considering geometric non-linearity are shown in Fig.2 and Fig.3 respectively, and the plot of displacement oftransverse vibration is shown in Fig.4. The conclusions can obtained that the system is stable andconvergent and the chaotic motions will happen in this system through the bifurcation of homo-climic orbits only considering the effects of non-linearity form Fig.2 and Fig.3, and the system isstable and its numerical result is convergent only considering the effects of coupling deformationwhich spin speed is 3.14 rad/s and spin-up time is 30 s. |
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| Keywords: | thin elastic plate large overall motions geometric non-linearity coupling deforma- tion stability |
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