A new method, Applied Element Method (AEM) for analysis of structures is introduced. The structure is modeled as an assembly of distinct elements made by dividing the structural elements virtually. These elements are connected by distributed springs in both normal and tangential directions. We introduce a new method by which the total behavior of structures can be accurately simulated with reasonable CPU time. This paper deals with the formulations used for linear elastic structures in small deformation range and for consideration of the effects of Poisson's ratio. Comparing with theoretical results, it is proved that the new method is an efficient tool to follow mechanical behavior of structures in elastic conditions.
A new extension of the Applied Element Method (AEM) for structural analysis is introduced. This paper deals with the large deformation of structures under dynamic loading condition. As no geometric stiffness matrix is adopted, the formulation used for large deformation is simple and it can be applied for any structural configuration or material type. A new technique based on determining the residual forces due to geometrical changes is proposed. The accuracy of this technique is verified in small deformation range by eigen value analysis. In large deformation range, the collapse behavior of structures and the rigid body motion of the failed structural elements can be followed accurately.
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