system reduction in space for dynamic finite element analysis of beam-columns assemblies against earthquakes

True behaviour of structural systems is nonlinear and dynamic. for the analysis, a conventional approach is to discretize in space (by finite elements) the partial differential equations describing the behaviour, and then integrate in time the resulting ordinary initial value problem. despite advances in finite elements and time integration, computational effort is still an important concern. every new day, along with improvements in cpu, ram, and hardware, the size and complicatedness of structural systems increase. accordingly, new improvements are being suggested for efficient analysis, in order to prevent or lessen the excessive computational effort. this is a main purpose of reduction methods (besselink et al., 2013). the main attention in this paper is on reduction in space and simplifying models to be analyzed with less number of the degrees of freedom. the structures are limited to structural systems consisted of beam-columns,the discretization in space is considered by simple two-node beam-column element, and the method for dynamic analysis is time history analysis using a time integration method.