建築構造物の地震応答の適正化の一方法(続)

Abstract

In the previous paper, the possibility of statistical design of a structural system assigningoptimum characteristics for aseismic safety was discussed.The necessary conditions for optimum design are to limit non-dimensional displacements orductility factors within the allowable values and to minimize the performance index which describesthe degree of spatial uniformity of aseismic safety.This paper re-defines the optimum design concept for a structural system by the Lagrangianfunction. As the Lagrangian function of the above problem is given by the statistical quantitiesof high dimension, the problem can be referred to the non-linear programming problem. Moreover, in this paper, the design method presented in the previous paper is applied to a three-degree-of-freedom, non-linear, shear type system in connection with the re-defined optimum design concept.As a result, it is found that the optimum condition of an elastic structure almost coincides with thatof an elasto-plastic structure.