scholarly journals Structural optimization using sensitivity analysis and a level-set method

2004 ◽  
Vol 194 (1) ◽  
pp. 363-393 ◽  
Author(s):  
Grégoire Allaire ◽  
François Jouve ◽  
Anca-Maria Toader
Keyword(s):  
Sensitivity Analysis ◽  
Structural Optimization ◽  
Level Set Method ◽  
Level Set

scholarly journals Aspects of sensitivity analysis using the level-set method in structural optimization

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 4040041-4040042 ◽  
Author(s):  
Monika Rotthaus ◽  
Franz-Joseph Barthold
Keyword(s):  
Sensitivity Analysis ◽  
Structural Optimization ◽  
Level Set Method ◽  
Level Set

A structural optimization method based on the level set method using a new geometry-based re-initialization scheme

2010 ◽  
Vol 83 (12) ◽  
pp. 1580-1624 ◽  
Author(s):  
Shintaro Yamasaki ◽  
Shinji Nishiwaki ◽  
Takayuki Yamada ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Structural Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Optimization Method ◽  
Initialization Scheme

Design of Compliant Thermal Actuators Using Structural Optimization Based on the Level Set Method

2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Takayuki Yamada ◽  
Shintaro Yamasaki ◽  
Shinji Nishiwaki ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Structural Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Compliant Mechanisms ◽  
Optimization Method ◽  
Equilibrium Equations ◽  
Thermal Actuators ◽  
Level Set Function ◽  
Initialization Scheme ◽  
Set Function

Compliant mechanisms are designed to be flexible to achieve a specified motion as a mechanism. Such mechanisms can function as compliant thermal actuators in micro-electromechanical systems by intentionally designing configurations that exploit thermal expansion effects in elastic material when appropriate portions of the mechanism structure are heated or are subjected to an electric potential. This paper presents a new structural optimization method for the design of compliant thermal actuators based on the level set method and the finite element method (FEM). First, an optimization problem is formulated that addresses the design of compliant thermal actuators considering the magnitude of the displacement at the output location. Next, the topological derivatives that are used when introducing holes during the optimization process are derived. Based on the optimization formulation, a new structural optimization algorithm is constructed that employs the FEM when solving the equilibrium equations and updating the level set function. The re-initialization of the level set function is performed using a newly developed geometry-based re-initialization scheme. Finally, several design examples are provided to confirm the usefulness of the proposed structural optimization method.

scholarly journals Structural Optimization of Mechanical Structures Targeting Vibration Characteristics Based on the Level Set Method

2010 ◽  
Vol 5 (1) ◽  
pp. 60-71
Author(s):  
Shintaro YAMASAKI ◽  
Shinji NISHIWAKI ◽  
Kazuhiro IZUI ◽  
Masataka YOSHIMURA
Keyword(s):  
Structural Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Vibration Characteristics
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