scholarly journals Design sensitivity analysis for shape optimization based on the Lie derivative

2017 ◽  
Vol 317 ◽  
pp. 702-722 ◽  
Author(s):  
Erin Kuci ◽  
François Henrotte ◽  
Pierre Duysinx ◽  
Christophe Geuzaine
Keyword(s):  
Sensitivity Analysis ◽  
Shape Optimization ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Lie Derivative

Numerical Considerations in Structural Component Shape Optimization

1985 ◽  
Vol 107 (3) ◽  
pp. 334-339 ◽  
Author(s):  
R. J. Yang ◽  
K. K. Choi ◽  
E. J. Haug
Keyword(s):  
Sensitivity Analysis ◽  
Finite Element ◽  
Shape Optimization ◽  
Structural Component ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Test Problems ◽  
Material Derivative ◽  
Boundary Shape ◽  
Component Shape

A unified design sensitivity analysis theory and a linearization method of optimization are employed for structural component shape optimization. A material derivative method for shape design sensitivity analysis, using the variational formulation of the equations of elasticity and the finite element method for numerical analysis, is used to calculate derivatives of stress and other structural response measures with respect to boundary shape. Alternate methods of boundary shape parameterization are investigated, through solution of two test problems that have been treated previously by other methods: a fillet and a torque arm. Numerical experiments with these examples and a variety of finite element models show that component shape optimization requires careful selection of boundary parameterization, finite element model, and finite element grid refinement techniques.

CAD based design sensitivity analysis and shape optimization of scaffolds for bio-root regeneration in swine

Biomaterials ◽  
2015 ◽  
Vol 57 ◽  
pp. 59-72 ◽  
Author(s):  
Xiangyou Luo ◽  
Bo Yang ◽  
Lei Sheng ◽  
Jinlong Chen ◽  
Hui Li ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Shape Optimization ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Root Regeneration

Shape Optimization of a Large-Scale BLDC Motor Using an Adaptive RSM Utilizing Design Sensitivity Analysis

2007 ◽  
Vol 43 (4) ◽  
pp. 1653-1656 ◽  
Author(s):  
Pan Seok Shin ◽  
Han-Deul Kim ◽  
Gyo-Bum Chung ◽  
Hee Sung Yoon ◽  
Gwan-Soo Park ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Shape Optimization ◽  
Large Scale ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Bldc Motor
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