کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
303713 512752 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Efficient finite element analysis by graph-theoretical force method; rectangular and triangular plate bending elements
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
Efficient finite element analysis by graph-theoretical force method; rectangular and triangular plate bending elements
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Scientia Iranica - Volume 18, Issue 5, October 2011, Pages 1045–1053
نویسندگان
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