Implications of the Theory for the Modification of Elements in the Displacement Method

摘要

Today, many automated computer programs are available to the analyst for the solution of structures and/or structural systems. These programs usually use either the matrix force method or the matrix displacement method. In the case of a force-method program it is necessary to have a uniform structure in order to use the programmed b1 redundant systems. Hence, structural irregularities such as cutouts must be introduced as modifications to the original analysis. The displacement method can cope with a cutout in one pass; therefore, no cutout technology per se is necessary. However, usually it is necessary to modify the original structure analyzed and determine the resulting stresses and/or deflections. The equations for performing modifications to the structure (in the displacement method) were outlined originally by Argyris. The purpose of this note is to explore the implications and ramifications of these concepts when used to analyze cutouts in the context of the matrix displacement method. (Author)