Finite element solution improved by full clamping element functions

Finite element solution improved by full clamping element functions

Presents a procedure for obtaining an improved finite element solution of boundary problems by estimating the principle of exact displacement method in the finite element technique. The displacement field is approximated by two types of functions: the shape functions satisfying the homogeneous diffe...

Full description

Saved in:
Bibliographic Details
Published in:Engineering computations Vol. 18; no. 5/6; pp. 786 - 801
Main Authors: Nikolic, Zoeljana, Mihanovic, Ante, Marovic, Pavao
Format: Journal Article
Language:English
Published: Bradford MCB UP Ltd 01-01-2001
Emerald Group Publishing Limited
Subjects:
Accuracy
Clamping functions
Engineering
Equilibrium
Finite element analysis
Principles
Shape functions
Studies
Shape functions
Clamping functions
Finite element analysis
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Presents a procedure for obtaining an improved finite element solution of boundary problems by estimating the principle of exact displacement method in the finite element technique. The displacement field is approximated by two types of functions: the shape functions satisfying the homogeneous differential equilibrium equation and the full clamping element functions as a particular solution of the differential equation between the nodes. The full clamping functions represent the solution of the full clamping state on finite elements. An improved numerical solution of displacements, strains, stresses and internal forces, not only at nodes but over the whole finite element, is obtained without an increase of the global basis, because the shape functions are orthogonal with the full clamping functions. This principle is generally applicable to different finite elements. The contribution of introducing two types of functions based on the principle of the exact displacement method is demonstrated in the solution procedure of frame structures and thin plates.
Bibliography:filenameID:1820180504
istex:19C1AC244D5DC1AE6D5FC2700EF82300ADE682C5
href:eum0000000005787.pdf
ark:/67375/4W2-QM9PZN9L-0
original-pdf:1820180504.pdf
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0264-4401
1758-7077
DOI:10.1108/EUM0000000005787