Structural shape optimization for the torsion problem using direct integration and B-splines

1993 ◽  
Vol 107 (1-2) ◽  
pp. 251-268 ◽  
Author(s):  
Uwe Schramm ◽  
Walter D. Pilkey
2012 ◽  
Vol 562-564 ◽  
pp. 1575-1582
Author(s):  
Sheng Li Gu ◽  
Fu Ming Wang

This paper presents a structural shape optimization algorithm based on the evolutionary structural optimization (ESO) method in conjunction with element error estimate and adaptive FEM. B-splines are used to describe the boundary of the design domain; the shape of these B-splines is governed by a set of master nodes which can be taken as the design variables. The optimal shape of the design boundary with constant stress is achieved iteratively by the movement and update of the position of the master nodes based on nodal stress leveling. The result quality, in terms of accuracy and efficiency, is tested and discussed with an analytical solution.


Author(s):  
Pierre Duysinx ◽  
WeiHong Zhang ◽  
HaiGuang Zhong ◽  
Pierre Beckers ◽  
Claude Fleury

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.


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

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