scholarly journals On the need for the use of error-controlled finite element analyses in structural shape optimization processes

2011 ◽  
Vol 87 (11) ◽  
pp. 1105-1126 ◽  
Author(s):  
J. J. Ródenas ◽  
G. Bugeda ◽  
J. Albelda ◽  
E. Oñate
Keyword(s):  
Finite Element ◽  
Shape Optimization ◽  
Finite Element Analyses ◽  
Structural Shape ◽  
Structural Shape Optimization

scholarly journals Efficient Finite Element Methodology Based on Cartesian Grids: Application to Structural Shape Optimization

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
E. Nadal ◽  
J. J. Ródenas ◽  
J. Albelda ◽  
M. Tur ◽  
J. E. Tarancón ◽  
...  
Keyword(s):  
Finite Element ◽  
Shape Optimization ◽  
Computational Efficiency ◽  
Error Estimator ◽  
Structural Shape ◽  
Structural Shape Optimization ◽  
Commercial Code ◽  
Elasticity Problems ◽  
Increase In Accuracy ◽  
Conforming Meshes

This work presents an analysis methodology based on the use of the Finite Element Method (FEM) nowadays considered one of the main numerical tools for solving Boundary Value Problems (BVPs). The proposed methodology, so-called cg-FEM (Cartesian grid FEM), has been implemented for fast and accurate numerical analysis of 2D linear elasticity problems. The traditional FEM uses geometry-conforming meshes; however, in cg-FEM the analysis mesh is not conformal to the geometry. This allows for defining very efficient mesh generation techniques and using a robust integration procedure, to accurately integrate the domain’s geometry. The hierarchical data structure used in cg-FEM together with the Cartesian meshes allow for trivial data sharing between similar entities. The cg-FEM methodology uses advanced recovery techniques to obtain an improved solution of the displacement and stress fields (for which a discretization error estimator in energy norm is available) that will be the output of the analysis. All this results in a substantial increase in accuracy and computational efficiency with respect to the standard FEM. cg-FEM has been applied in structural shape optimization showing robustness and computational efficiency in comparison with FEM solutions obtained with a commercial code, despite the fact that cg-FEM has been fully implemented in MATLAB.

Structural Shape Optimization Wth Error Control

1994 ◽  
Author(s):  
Pierre Duysinx ◽  
WeiHong Zhang ◽  
HaiGuang Zhong ◽  
Pierre Beckers ◽  
Claude Fleury
Keyword(s):  
Shape Optimization ◽  
Computer Aided Design ◽  
Adaptive Mesh Refinement ◽  
Error Control ◽  
Optimization Procedure ◽  
Adaptive Mesh ◽  
Structural Shape ◽  
Structural Shape Optimization ◽  
Design Variables ◽  
Recent Developments

Abstract A robust and automatic shape optimization procedure is presented in this paper, which incorporates recent developments in the field of computer-aided design (CAD) of mechanical structures, such as geometric modelling, automatic selection of independent design variables, sensitivity analysis using reliable mesh perturbation schemes, error estimation and adaptive mesh refinement. A numerical example is given to show the efficiency of the procedure.

Structural Shape Optimization with MSC/NASTRAN

1990 ◽  
Author(s):  
SRINIVAS KODIYALAM ◽  
GARRET VANDERPLAATS ◽  
HIROKAZU MIURA ◽  
GOPAL NAGENDRA ◽  
DAVID WALLERSTEIN
Keyword(s):  
Shape Optimization ◽  
Structural Shape ◽  
Structural Shape Optimization
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