محمد سجاد مسعودی
محمد سجاد مسعودی
استادیار عمران

Efficient finite element analysis by graph-theoretical force method; rectangular and triangular plate bending elements

نویسندگانA Kaveh - MS Massoudi
نشریهScientia Iranica
نوع مقالهFull Paper
تاریخ انتشار2011-10-31
رتبه نشریهعلمی - پژوهشی
نوع نشریهچاپی
کشور محل چاپایران
چکیده مقاله

Abstract. The calculation of null basis for equilibrium matrix is the main part of the 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. There are many algorithms for the formation of null basis among which the algebraic methods benefit from the generality. However, the efficiency of these methods is highly dependent on the size of problems, and their computational times are very high for such problems. In this paper, a graph-theoretical method is presented for the formation of sparse, banded and highly accurate null basis matrices for finite element models with triangular and rectangular bending elements. These bases are generated much faster than those obtained by the algebraic methods. The efficiency of the present method is illustrated through some example.

لینک ثابت مقاله

کلید واژه ها: Finite elementsForce methodPlate bendingTriangular and rectangular elements