Initial Design of Mechanical Structures : A Shape Optimization Method of Cross-section Using Genetic Algorithms

2002 ◽  
Vol 2002.5 (0) ◽  
pp. 53-58
Author(s):  
Kazuhiro Izui ◽  
Shinji Nishiwaki ◽  
Masataka Yoshimura
Author(s):  
Ashraf O. Nassef ◽  
Hesham A. Hegazi ◽  
Sayed M. Metwalli

Abstract The hybridization of different optimization methods have been used to find the optimum solution of design problems. While random search techniques, such as genetic algorithms and simulated annealing, have a high probability of achieving global optimality, they usually arrive at a near optimal solution due to their random nature. On the other hand direct search methods are efficient optimization techniques but linger in local minima if the objective function is multi-modal. This paper presents the optimization of C-frame cross-section using a hybrid optimization algorithm. Real coded genetic algorithms are used as a random search method, while Nelder-Mead is used as a direct search method, where the result of the genetic algorithm search is used as the starting point of direct search. Traditionally, the cross-section of C-frame belonged to a set of primitive shapes, which included I, T, trapezoidal, circular and rectangular sections. The cross-sectional shape is represented by a non-uniform rational B-Splines (NURBS) in order to give it a kind of shape flexibility. The results showed that the use of Nelder-Mead with Real coded Genetic Algorithms has been very significant in improving the optimum shape of a solid C-frame cross-section subjected to a combined tension and bending stresses. The hybrid optimization method could be extended to more complex shape optimization problems.


2002 ◽  
Vol 2002.12 (0) ◽  
pp. 384-387
Author(s):  
Kazuhiro Izui ◽  
Shinji Nishiwaki ◽  
Masataka Yoshimura

1997 ◽  
Vol 119 (2) ◽  
pp. 380-388 ◽  
Author(s):  
Jens von Wolfersdorf ◽  
E. Achermann ◽  
B. Weigand

A shape optimization method for convective cooling channels within a two-dimensional heat conduction region is presented. This method combines genetic algorithms with a point heat sink approach that is used to model the heat removal of the cooling channels during the optimization process. The method can be easily combined with the Finite Element Method (FEM) for the calculation of the optimized temperature field distribution.


AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 51-61 ◽  
Author(s):  
M. C. Sharatchandra ◽  
Mihir Sen ◽  
Mohamed Gad-el-Hak

1999 ◽  
Vol 35 (3) ◽  
pp. 1686-1689 ◽  
Author(s):  
Y. Yokose ◽  
V. Cingoski ◽  
K. Kaneda ◽  
H. Yamashita

2019 ◽  
Vol 13 (1) ◽  
pp. 195-199 ◽  
Author(s):  
Alexandre Hubert ◽  
Jean-Philippe Colonna ◽  
Stéphane Bécu ◽  
Cécilia Dupré ◽  
Virginie Maffini-Alvaro ◽  
...  

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