Non-parametric shape optimization method for natural vibration design of stiffened shells

2015 ◽  
Vol 146 ◽  
pp. 20-31 ◽  
Author(s):  
Yang Liu ◽  
Masatoshi Shimoda
Keyword(s):  
Shape Optimization ◽  
Natural Vibration ◽  
Optimization Method ◽  
Stiffened Shells ◽  
Non Parametric

A Design Method of Beads in Shell Structure Using Non-Parametric Shape Optimization Method

2014 ◽  
Author(s):  
Kohei Shintani ◽  
Hideyuki Azegami
Keyword(s):  
Shape Optimization ◽  
Shell Structure ◽  
Parametric Design ◽  
Design Method ◽  
Optimization Method ◽  
Adjoint Problem ◽  
Sigmoid Function ◽  
Out Of Plane ◽  
Mean Compliance ◽  
Non Parametric

The present paper describes a method finding bead shapes in shell structure to increase the stiffness using a solution to shape optimization method. Variation of the shell structure in out-of-plane direction is chosen as a non-parametric design variable. To create beads, the out-of-plane variation is restricted by using the sigmoid function. Mean compliance is used as objective function. The main problem is defined as a linear elastic problem for shell structure. The Fréchet derivative with respect to the out-of-plane variation of the mean compliance is evaluated with the solutions of the main problem and an adjoint problem which is derived theoretically by the adjoint variable method. To solve the bead design problem, an iterative algorithm based on the H1 gradient method is used. Numerical results show the effectiveness of the method.

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