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Published in:
2018 | OriginalPaper | Chapter
5. Condensation Method
Author : Buntara S. Gan
Published in: An Isogeometric Approach to Beam Structures
Publisher: Springer International Publishing
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Abstract
This chapter is the core of this book. There are rapid demands in using NURBS functions for any kind of free curved beam element for design practices. Inevitably, the computing efforts are increasing exponentially with the higher degree of real geometry to be taken into design analyses. The idea of condensing the increasing number of degrees of freedom using Isogeometric modeling is the utmost important for beam analysis practitioners. The formulation of beam elements in the finite element method by using the Isogeometric approach is rather a new subject for the designer. Provided with present powerful condensation method where the number of degrees of freedom in the formulation can be condensed precisely into a two-node six degree of freedom common beam element could ease practitioners to adopt. This new condensation method is discussed in detail and provided by MATLAB function list. The condensation method is applied to the same examples of the beam by using NURBS Chap. 3 to show its effectiveness.