scholarly journals Two-Dimensional Shape Optimization with Nearly Conformal Transformations

2018 ◽  
Vol 40 (6) ◽  
pp. A3807-A3830 ◽  
Author(s):  
José A. Iglesias ◽  
Kevin Sturm ◽  
Florian Wechsung
Keyword(s):  
Shape Optimization ◽  
Conformal Transformations ◽  
Two Dimensional ◽  
Dimensional Shape

Shape Optimization Using a Variable Number of Conic Patches

1993 ◽  
Author(s):  
James M. Widmann ◽  
Sheri D. Sheppard
Keyword(s):  
Shape Optimization ◽  
Design Space ◽  
Variable Number ◽  
Optimization Process ◽  
Optimized Design ◽  
Two Dimensional ◽  
Geometric Description ◽  
Design Representation ◽  
Design Variables ◽  
Dimensional Shape

Abstract Shape Optimization is a branch of structural optimization in which the boundaries of geometry are varied. The shape of the boundary is determined by optimizing a set of design variables that form the geometric description of the shape. This paper presents a method of two dimensional shape optimization in which the number of design variables is allowed to change during the optimization process. First an initial design representation is chosen and optimized. Next a new mathematical description of the optimized design is created with an increased number of design variables. This new design is subsequently optimized. This allows the optimization process to work within a larger design space that includes a greater variety of shapes. The process of adding design variables is repeated until no additional improvements in the design are made. Several design examples are solved with this procedure and presented.

Sign in / Sign up

Export Citation Format

Share Document