A consistent grayscale-free topology optimization method using the level-set method and zero-level boundary tracking mesh

2014 ◽  
Vol 101 (10) ◽  
pp. 744-773 ◽  
Author(s):  
Shintaro Yamasaki ◽  
Atsushi Kawamoto ◽  
Tsuyoshi Nomura ◽  
Kikuo Fujita
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Boundary Tracking ◽  
Zero Level ◽  
Topology Optimization Method

scholarly journals 1111 Construction of a New Boundary Tracking Type Level-set Topology Optimization Method

2013 ◽  
Vol 2013.23 (0) ◽  
pp. _1111-1_-_1111-8_
Author(s):  
Shintaro YAMASAKI ◽  
Atsushi KAWSMOTO ◽  
Tsuyoshi NOMURA ◽  
Kikuo FUJITA
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Optimization Method ◽  
Boundary Tracking ◽  
Topology Optimization Method

3301 A topology optimization method based on the level set method Using shell elements

2014 ◽  
Vol 2014.24 (0) ◽  
pp. _3301-1_-_3301-3_
Author(s):  
Kenta YAMAGATA ◽  
Takayuki YAMADA ◽  
Kazuhiro IZUI ◽  
Shinji NISHIWAKI ◽  
Atsushi KAWAMOTO
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Shell Elements ◽  
Topology Optimization Method

Parametric Structural Shape and Topology Optimization Method With Radial Basis Functions and Level-Set Method

2006 ◽  
Author(s):  
Peng Wei ◽  
Michael Yu Wang
Keyword(s):  
Topology Optimization ◽  
Radial Basis Functions ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Basis Functions ◽  
Structural Shape ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Topology Optimization Method

In this paper, a parametric structural shape and topology optimization method is presented. To solving structure optimization problems, the level-set method has become a powerful design tool and been widely used in many fields. Combined with the Radial Basis Functions (RBF), which is a popular tool in function approximation, the method of level-set can be represented in a parametric way with a set of advantages comparing with the conventional discrete means. Some numerical examples are presented to illustrate its advantages.

Electromagnetic Design of In-Vehicle Reactor Using a Level-Set Based Topology Optimization Method

2014 ◽  
Author(s):  
Shintaro Yamasaki ◽  
Atsushi Kawamoto ◽  
Akira Saito ◽  
Masakatsu Kuroishi ◽  
Kikuo Fujita
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Design Problem ◽  
Design Method ◽  
Reactor Core ◽  
Optimization Method ◽  
State Variables ◽  
Boundary Tracking ◽  
Level Set Function ◽  
Topology Optimization Method

In this paper, we propose a level-set based topology optimization method for designing a reactor, which is used as a part of the DC-DC converter in electric and hybrid vehicles. Since it realizes a high-power driving motor and its performance relies on its component, i.e., reactor core, it is valuable to establish a reasonable design method for the reactor core. Boundary tracking type level-set topology optimization is suitable for this purpose, because the shape and topology of the target structure is clearly represented by the zero boundary of the level-set function, and the state variables are accurately computed using the zero boundary tracking mesh. We formulate the design problem on the basis of electromagnetics, and derive the design sensitivities. The derived sensitivities are linked with boundary tracking type level-set topology optimization, and as a result, a useful structural optimization method for the reactor core design problem is developed.

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