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具有二重半简特征值的静态分叉解及其稳定性
引用本文:霍麟春.具有二重半简特征值的静态分叉解及其稳定性[J].天津理工大学学报,1998(4).
作者姓名:霍麟春
作者单位:天津理工学院机械系!300191
摘    要:提出用分叉解幅值作为摄动参数,给出计算具有二重半简特征值一般演化系统静态分叉的摄动投影方法.提出一种新的判定静态分叉解稳定性的渐近展开方法.用本文方法计算了弹性基础上压杆后屈曲分支的渐近展开和稳定性.

关 键 词:二重半简特征值  静态分叉  稳定性  渐近展开

The Static Bifurcation Solution At A Double Semi-Simple Eigenvalue and Their Stability
Hou Linchun.The Static Bifurcation Solution At A Double Semi-Simple Eigenvalue and Their Stability[J].Journal of Tianjin University of Technology,1998(4).
Authors:Hou Linchun
Abstract:In this paper the perturbation-projection method looking on the amplitude of the bifurcation solution as the parturbation parameter is suggested to find the static bifurcation of general evalution system. The asymptotic expansion method is suggested to determine the stability of the static bifurcation. The post-bucking solution of an elastic pinended strut on elasic foundation is calculated by means of our method.
Keywords:double semisimple eigenvalue static bifurcation solution stability asymptoticexpansion
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