محمد سجاد مسعودی
محمد سجاد مسعودی
استادیار عمران

Efficient finite element analysis using graph-theoretical force method; rectangular plane stress and plane strain serendipity family elements

نویسندگانA Kaveh - MS Massoudi - MJ Massoudi
نشریهPeriodica Polytechnica. Civil Engineering
نوع مقالهFull Paper
تاریخ انتشار2014-03-07
رتبه نشریهعلمی - پژوهشی
نوع نشریهچاپی
کشور محل چاپمجارستان

چکیده مقاله

Abstract. Formation of a suitable null basis for equilibrium matrix is the main part of finite elements analysis via force method. Foran optimal analysis, the selected null basis matrices should be sparse and banded corresponding to produce sparse, banded and well-conditioned flexibility matrices. In this paper, an efficient method is developed for the formation of null bases of finite element models (FEMs) consisting of rectangular plane stress and plane strain serendipity family 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. The efficiency of the present method is illustrated through three examples.

لینک ثابت مقاله

tags: Finite elements,Force method,Null basis,Flexibility matrix,Graph theory,Plane stress,Plane strain,Rectangular elements,Serendipity family elements