Analysis of Frame using Applied Element Method (AEM)

Abstract

The Finite Element Method (FEM) and other numerical methods are very effectively implemented in linear and nonlinear analysis of structures. Recently, a new displacement based Applied Element Method (AEM) has been developed, which is applicable for static linear and non linear analysis of framed and continuum structures. In AEM structural member is divided into virtual elements connected through normal and shear springs representing stresses and strains of certain portion of structure. FEM assumes the material as continuous and is able to indicate highly stressed region of structure but it is difficult to model separation of element unless crack location is known. The main advantage of applied element method is that it can track the structural collapse behaviour passing through all stages of the application of loads. In this paper, basic introduction to applied element method is presented. The differences between FEM and AEM are discussed. The application of AEM is illustrated through static analysis of portal frame. The portal frame is divided into different number of square elements. The elements are connected through varying number of normal and shear springs. The effect of size of elements and number of springs for connecting elements on analysis results is presented in the paper. The analysis results are also compared with that of FEM.