| 一类弧形弹性杆大变形的多解性与分支 |
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| 引用本文： | 文秋利,殷先军. 一类弧形弹性杆大变形的多解性与分支[J]. 数学的实践与认识, 2007, 37(11): 106-111 |
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| 作者姓名： | 文秋利 殷先军 |
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| 作者单位： | 1. 中国防卫科技学院,基础部,北京,100094
2. 中央财经大学,经济数学系,北京,100088 |
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| 摘 要： | 基于大变形理论建立弧形弹性杆大变形的数学模型,弹性杆的一端固定,另一端自由且在中间受一竖直向下的集中力,所建立的模型可变形为摆动方程的边值问题.利用流形法得到数学模型的分支图,进而分析弹性杆变形的多解性.
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| 关 键 词： | 大变形 边值问题 流形法 分支图 |
| 修稿时间： | 2005-06-07 |
Multiplicity and Bifurcation for Large Deformation of Circular Elastic Rods |
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| WEN Qiu-li,YIN Xian-jun. Multiplicity and Bifurcation for Large Deformation of Circular Elastic Rods[J]. Mathematics in Practice and Theory, 2007, 37(11): 106-111 |
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| Authors: | WEN Qiu-li YIN Xian-jun |
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| Abstract: | Based on large deformation theory,the mathematical model of deformation of the elastic circular rod with one end fixed and the other free under the force load acting at the midpoint is established.The model is reduced to a boundary value problem for a pendulum equation.Multiplicity is discussed by means of the bifurcation diagram of the mathematical model obtained by manifold method. |
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| Keywords: | large deformation pendulum equation manifold method bifurcation diagram |
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