| 一类变形Euler棒P-稳定性的研究 |
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| 引用本文： | 殷先军,孙博.一类变形Euler棒P-稳定性的研究[J].数学的实践与认识,2011,41(8). |
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| 作者姓名： | 殷先军 孙博 |
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| 作者单位： | 中央财经大学应用数学学院,北京,100081 |
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| 基金项目： | 中央财经大学学科建设基金，"中财121人才工程"青年博士发展基金 |
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| 摘 要： | 借助于特征根法研究Euler弹性棒变形的P稳定性.将广泛存在于应用技术中的一类弹性单元抽象为Euler弹性棒,建立相应变形的物理和数学模型-常微分方程的边值问题,将其嵌入偏微分方程,得到数学模型解的P-稳定性.
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| 关 键 词： | Euler棒 弹性变形 P稳定性 最小特征根 |
Study on the P-Stability of a Class of Deformed Euler Rod |
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| YIN Xian-jun,SUN Bo.Study on the P-Stability of a Class of Deformed Euler Rod[J].Mathematics in Practice and Theory,2011,41(8). |
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| Authors: | YIN Xian-jun SUN Bo |
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| Institution: | YIN Xian-jun,SUN Bo (School of Applied Mathematics,Central University of Finance and Economics,Beijing 100081,China) |
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| Abstract: | The P-stability for deformations of Euler rod is studied with the method of eigenvalues.The elastic parts in practical technologies are abstracted into Euler elastic rods, a boundary value problem(BVP) for an ordinary differential equation of second order is constructed as the mathematical representation of the deformation of the elastic rod,the P-stability of solutions of the mathematical model is achieved by means of inserting the BVP into a partial differential equation. |
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| Keywords: | euler rod elastic deformation P-stability minimal eigenvalue |
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