| 层合板分叉方程的Lyapunov-Schmidt约化分析1999-11-17收稿. |
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| 引用本文： | 陈晓,许可,戴诗亮. 层合板分叉方程的Lyapunov-Schmidt约化分析1999-11-17收稿.[J]. 固体力学学报, 2001, 22(3): 292-296 |
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| 作者姓名： | 陈晓 许可 戴诗亮 |
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| 作者单位： | 1. 清华大学工程力学系
2. 北京航空航天大学计算机科学与工程系 |
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| 摘 要： | 在建立具有弹性约束的复合材料层板在面内载荷作用下的非线性稳定性控制方程组的基础上，利用分叉理论和泛函知识，对有限维的分叉方程进行了Lyapunov-Schmidt 约化，获得了三种典型的分叉图形式，并证明了当非齐次项等于零时必然发生分叉。
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| 关 键 词： | 层合板 非线性 分叉 Lyapunov－Schmidt约化 复合材料 |
| 修稿时间： | 1999-11-17 |
THE LYAPUNOV-SCHMIDT REDUCTION ANALYSES OF LAMINATED PLATES BIFURCATION EQUATIONS |
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| Chen Xiao Xu Ke Dai Shiliang. THE LYAPUNOV-SCHMIDT REDUCTION ANALYSES OF LAMINATED PLATES BIFURCATION EQUATIONS[J]. Acta Mechnica Solida Sinica, 2001, 22(3): 292-296 |
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| Authors: | Chen Xiao Xu Ke Dai Shiliang |
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| Affiliation: | Chen Xiao 1 Xu Ke 2 Dai Shiliang 1 |
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| Abstract: | Based on the establishment of the nonlinear governing equations of composite laminated plates with edges elastically supported against rotation, the finite dimension bifurcation equations are Lyapunov Schmidt reduced by utilizing the bifurcation theoretics and the functional knowledge. Three typical bifurcation figure forms are achieved, and it is proved that the bifurcation occurs consequentially as the nonuniform order term equals to zero. |
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| Keywords: | laminated plates nonlinearity bifurcation |
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