STRUCTURAL ANALYSIS BASED ON APPLICATION OF PROPERTY OF THE GENERALIZED INVERSE

Displacement derived from stress in stress method is nothing but a solution and stress derived from displacement in displacement method is also nothing but a solution

Abstract

Expression of solution forms of stress and displacement obtained by using property of the Moore-Penrose generalized inverse has been proposed instead of the usual inverse matrix to avoid making up regularity because it might be relatively strong condition. Application of the solution forms is demonstrated by solving a few flame structures in this paper. Result is summarized as follows (1) It is possible for displacement to obtain before getting stress in case of stress method, (2) Analysis based on stress method where dependent component of stress variable is included in equilibrium equation is carried out, and so on.