@article{MAKHILLJEAS2018131216331,
    title = {Optimal Systematical Nodes Numbering Technique in the
Three Dimensional Analysis of Structural Elements},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {12},
    pages = {4250-4259},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.4250.4259},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.4250.4259},
    author = {Hayder},
    keywords = {Nodes numbering,bandwidth,finite elements,three dimensional analysis,SML,beam},
    abstract = {This scientific study involves a comparative study of eighteen systematical technique that can be
used in numbering the nodes of finite elements meshes in the three dimensional analysis of structural elements
which have a rectangular section. The BandWidth (BW) equations of these techniques were derived by using
8-nodes linear brick element and the optimal technique, called as (SML, Small Medium Large) is selected
according to the minimum BW. Besides, the general equations of computing the BW for 8, 20 and 32-nodes
brick element are derived depending on the SML technique. The research produces a simple optimal
systematical nodes numbering technique that can be understood and used by engineers and researchers easily.
The optimal systematical technique SML avoids the computational effort required for reordering the coefficients
of matrix or renumbering the nodes which are usually used in traditional techniques. The study proves that the
numbering technique SML is efficient, applicable and easy to be implemented. The technique also reduces the
execution time to about 99% in some cases. For practical benefit, nodes mesh generation program for straight
beam or wall is prepared according to the numbering technique SML.}
    }