محمد سجاد مسعودی
محمد سجاد مسعودی
استادیار عمران

Efficient finite element analysis using graph-theoretical force method; tetrahedron elements

نویسندگانA Kaveh - MS Massoudi
نشریهInternational Journal of Civil Engineering
نوع مقالهFull Paper
تاریخ انتشار2014-01-01
رتبه نشریهعلمی - پژوهشی
نوع نشریهچاپی
کشور محل چاپایران
چکیده مقاله

Abstract. Formation of a suitable null basis is the main problem of finite elements analysis via force method. For an optimal analysis, the selected null basis matrices should be sparse and banded corresponding to sparse, banded and well-conditioned flexibility matrices. In this paper, an efficient method is developed for the formation of the null bases of finite element models (FEMs) consisting of tetrahedron elements, corresponding to highly sparse and banded flexibility matrices. This is achieved by associating special graphs with the FEM and selecting appropriate subgraphs and forming the self-equilibrating systems (SESs) on these subgraphs. Two examples are presented to illustrate the simplicity and effectiveness of the presented graph-algebraic method.

لینک ثابت مقاله

کلید واژه ها: Force method,Flexibility matrix,Graph theory,Three dimensional elements,Tetrahedron elements,Higher order elements,Finite element method,Null basis matrix