SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 43, No. 01, Month JANUARY, Year 2021, Pages 133 - 143

Simplified analysis of structures using applied element method

Lincy Christy D., Praveen Nagarajan, T. M. Madhavan Pillai

Abstract Download PDF

The Applied Element Method (AEM) is a numerical method of structural analysis. The degrees of freedom are located at the centroid of an element, which is rigid. In AEM, many pairs of springs are provided on the faces of the element. Although the AEM is very efficient, it is not popular due to the limited literature discussing stiffness matrix of AEM in detail. In this paper, the formulation of the stiffness matrix for two-dimensional and three-dimensional analysis by AEM is discussed. To improve the accuracy of AEM, a simplified stiffness matrix is developed when an infinite number of springs is considered. The strains, stresses, bending moment and shear forces are also derived. The efficiency of AEM is studied by solving a few conventional problems on beams. Comparison of AEM with FEM is also done. The AEM could predict displacements, strains, stresses, bending moment, shear force, natural frequency and mode shapes with reasonable accuracy.

Keywords

applied element method, stiffness matrix, formulation, natural frequency, mode shape

---