Application of fixed point theory in the solution to bifurcation buckling load
Release time:2024-08-09
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- Affiliation of Author(s):
- 土木工程学院
- Journal:
- 土木工程结构创新与可持续发展论坛论文集
- Key Words:
- 中文关键字:分岔屈曲;固定点理论;增量算子;减量算子;平衡微分方程;变形函数,英文关键字:bifurcation buckling; fixed point theory; increasi
- Abstract:
- The solution to bifurcation buckling load is an important content of stability theory, which is finally ascribed to the solution to equilibrium differential equation(s). Equilibrium differential equation is usually nonlinear for some more complex cases so it is difficult to obtain its exact solution. Bifurcation buckling load is tried to be obtained according to the fixed point theory of semi-ordered space. This method is convenient and simple to realize, and is unrestricted to subjects investigated. Approximate solution to bifurcation buckling load can be obtained even though the deformation function is not assumed. The classical member bar with both ends under axial loading is analyzed firstly. Then the application of increasing and decreasing operators to solve bifurcation buckling load are studied. This method provides a new thought for the solution to buckling load.
- Note:
- 郝际平
- Co-author:
- L.Lei,X.L.Yan
- First Author:
- haojiping,zhong Weihui
- Indexed by:
- Journal paper
- Volume:
- 卷:1
- Issue:
- 期:
- Page Number:
- 页:304~311
- Translation or Not:
- no
- Date of Publication:
- 2007-11-01
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