Modular decomposition of frame structures requires careful consideration to ensure that partitioning does not result in a reduction in structural stiffness. In this study, a modular decomposition method based on graph theory, accounting for mechanical responses, is proposed to achieve desirable structural properties. In this method, the finite element model considering multiple loading cases is represented as a graph weighted by the integrated values of the mechanical responses. The modular decomposition is achieved by partitioning the weighted graph along minimum-cost cuts, placing module boundaries between elements with low integrated values. This paper explores the relationship between the method of integration of mechanical responses and the ratio of increase in displacements at loading points.
Totsuka et al. (Wed,) studied this question.