APPLICATION OF FIXED POINT THEORY IN THE SOLUTION TO BIFURCATION BUCKLING LOAD

摘要

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.