Volume 14, Issue 1 (1-2024)
IJOCE 2024, 14(1): 115-138 |
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Karimi I, Masoudi M S. INTRODUCTION OF SHELL ELEMENT FOR FINITE ELEMENT ANALYSIS USING GRAPH-THEORETICAL FORCE METHOD. IJOCE 2024; 14 (1) :115-138
URL: http://ijoce.iust.ac.ir/article-1-578-en.html
URL: http://ijoce.iust.ac.ir/article-1-578-en.html
1- School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran
2- Department of civil engineering, West Tehran branch, Islamic Azad University, Tehran, Iran
2- Department of civil engineering, West Tehran branch, Islamic Azad University, Tehran, Iran
Abstract: (5118 Views)
The main part of finite element analysis via the force method involves the formation of a suitable null basis for the equilibrium matrix. For an optimal analysis, the chosen null basis matrices should exhibit sparsity and banding, aligning with the characteristics of sparse, banded, and well-conditioned flexibility matrices. In this paper, an effective method is developed for the formation of null bases of finite element models (FEMs) consisting of shell elements. This leads to highly sparse and banded flexibility matrices. This is achieved by associating specific graphs to the FEM and choosing suitable subgraphs to generate the self-equilibrating systems (SESs) on these subgraphs. The effectiveness of the present method is showcased through two examples.
Keywords: Finite element force method, graph theory, shell element, null basis matrix, flexibility matrix.
Type of Study: Research |
Subject:
Optimal analysis
Received: 2024/02/9 | Accepted: 2024/01/1 | Published: 2024/01/1
Received: 2024/02/9 | Accepted: 2024/01/1 | Published: 2024/01/1
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