APPLICATION OF FIXED POINT THEORY IN THE SOLUTION TO BIFURCATION BUCKLING LOAD
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.
Bifurcation buckling fixed point theory increasing operator decreasing operator equilibrium differential equation deformation function
W. H. Zhong J. P. Hao L. Lei X. L. Yan
School of Civil Engineering, Xian University of Architecture and Technology, Xian, China School of Sciences, Xian University of Architecture and Technology, Xian, China
国际会议
上海
英文
304-311
2007-11-28（万方平台首次上网日期，不代表论文的发表时间）