محمد سجاد مسعودی
استادیار عمران

# Efficient Graph-Theoretical Force Method: Wedge-Shaped Finite Element

نویسندگان F. Haji Ebrahim Araghi-M. S. Massoudi-A. Kaveh Iranian Journal of Science and Technology, Transactions of Civil Engineering Department of Civil Engineering, West Tehran Branch, Islamic Azad University, Tehran, Iran 0.8 Full Paper 2020-05-13 ISI چاپی ایران

## چکیده مقاله

<p>&lt;p dir=&quot;ltr&quot; style=&quot;text-align: justify;&quot;&gt;&lt;span style=&quot;display: inline !important; float: none; background-color: rgb(252, 252, 252); color: rgb(51, 51, 51); font-family: Georgia,Palatino,serif; font-size: 18px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; line-height: 1.8; orphans: 2; overflow-wrap: break-word; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;&quot;&gt;Formation of a suitable null basis (static basis) for equilibrium matrix is the main part of finite element analysis via force method. For an optimal analysis, the selected null basis matrices should be sparse, well-structured, e.g., banded, and well-conditioned flexibility matrices. In this paper, an efficient method is developed for the formation of null bases of wedge element, 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 on these subgraphs. The efficiency of the presented method is illustrated through three examples.&lt;/span&gt;&lt;/p&gt;</p>

لینک ثابت مقاله

tags: Finite element force method- Null (static) basis- Flexibility matrix- Graph theory -Wedge elements