APPLICATION OF CATASTROPHE THEORY TO IMPERFECTION-SENSITIVITY ANALYSIS

摘要

Catastrophe theory applied to imperfection-sensitivity analyses is presented. By considering the problem as an imperfect version of a higher order catastrophe, a topologically good approximate solution can be obtained. Moreover, the solution seems to be valid not only in the neighborhood of the critical point, it can be considered as a quasi-global solution. The solution can be controlled by comparing it with correct sections of the imperfection-sensitivity surface, obtained in graphical way. By means of the parametric description of classes of catastrophes, the functions of imperfection-sensitivity can be obtained, moreover, the concerning multivalued imperfection-sensitivity surfaces can be illustrated as well.