一类变形Euler棒P-稳定性的研究  

Study on the P-Stability of a Class of Deformed Euler Rod

作　　者：殷先军[1] 孙博[1] 

机构地区：[1]中央财经大学应用数学学院,北京100081

出　　处：《数学的实践与认识》2011年第8期247-250,共4页Mathematics in Practice and Theory

基　　金：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(QBJZH201004)

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.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.

关 键 词：Euler棒 弹性变形 P稳定性 最小特征根 

分 类 号：O175.2[理学—数学]