A novel method of structural shape optimization coupling BEM with an optimization method based on biological growth

1998 ◽  
Vol 15 (3-4) ◽  
pp. 296-300
Author(s):  
R. Cai ◽  
S. Cai ◽  
X. Yang ◽  
F. Lu
2013 ◽  
Vol 327 ◽  
pp. 271-275 ◽  
Author(s):  
Zhi Xue Wu

A gradientless method for two-dimensional shape optimization is developed based on the magnitude of local relative-stress difference along the design boundary. The design boundary is modeled by using cubic splines, which are determined by a number of control points. The optimal shape of a design boundary with constant stress is achieved iteratively by moving control points consecutively (correspondingly, changing the shape of the design boundary) by an amount depending on the relative-stress difference between two neighboring boundary points. The key feature of the optimization method is that no arbitrary threshold stress is required. The result quality in terms of accuracy and efficiency are tested and discussed with several finite element analysis examples.


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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