scholarly journals Numerical instabilities in structural optimization – analogy between topology & shape design problems

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 229-230
Author(s):  
Gregor Kotucha ◽  
Klaus Hackl
Keyword(s):  
Structural Optimization ◽  
Shape Design ◽  
Design Problems ◽  
Numerical Instabilities

Sensitivity analysis for optimal shape design problems

1989 ◽  
Vol 1 (4) ◽  
pp. 241-251 ◽  
Author(s):  
P. Neittaanmäki ◽  
K. Salmenjoki
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design ◽  
Design Problems

Structural Configuration Examples of an Integrated Optimal Design Process

1994 ◽  
Vol 116 (4) ◽  
pp. 997-1004 ◽  
Author(s):  
M. Chirehdast ◽  
H.-C. Gea ◽  
N. Kikuchi ◽  
P. Y. Papalambros
Keyword(s):  
Structural Optimization ◽  
Design Process ◽  
Homogenization Method ◽  
Optimization Techniques ◽  
Phase Iii ◽  
Design Problems ◽  
Novel Approach ◽  
Three Phase ◽  
Bicycle Frame ◽  
Automated Procedures

Structural optimization procedures usually start from a given design topology and vary proportions or boundary shapes of the design to achieve optimality of an objective under various constraints. This article presents examples of the application of a novel approach for initiating formal structural optimization at an earlier stage, where the design topology is rigorously generated. A three-phase design process is used. In Phase I, an optimal initial topology is created by a homogenization method as a gray-scale image. In Phase II, the image is transformed to a realizable design using computer vision techniques. In Phase III, the design is parameterized and treated in detail by conventional size and shape optimization techniques. Fully-automated procedures for optimization of two-dimensional solid structures are outlined, and several practical design problems for this type of structures are solved using the proposed procedure, including a crane hook and a bicycle frame.

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