Design sensitivity analysis with polynomial chaos for robust optimization

2020 ◽  
Vol 63 (1) ◽  
pp. 357-373
Author(s):  
Chengkun Ren ◽  
Fenfen Xiong ◽  
Bo Mo ◽  
Anik Chawdhury ◽  
Fenggang Wang
Keyword(s):  
Sensitivity Analysis ◽  
Robust Optimization ◽  
Polynomial Chaos ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis

Configuration design sensitivity analysis for dynamic systems using CAD-based velocity field

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1241-1244
Author(s):  
S. Wang ◽  
S. Ki ◽  
K. Lee
Keyword(s):  
Sensitivity Analysis ◽  
Velocity Field ◽  
Dynamic Systems ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Configuration Design

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

Adjoint Design Sensitivity Analysis of Molecular Gas Film Lubrication Sliders

2002 ◽  
Vol 125 (1) ◽  
pp. 145-151 ◽  
Author(s):  
Sang-Joon Yoon ◽  
Dong-Hoon Choi
Keyword(s):  
Sensitivity Analysis ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Finite Difference Approximation ◽  
Molecular Gas ◽  
Air Bearings ◽  
Adjoint Variable ◽  
Topological Parameters ◽  
Molecular Gas Film Lubrication ◽  
Film Lubrication

This paper proposes an analytical design sensitivity analysis (DSA) to topological parameters of MGL (molecular gas film lubrication) sliders by introducing an adjoint variable method. For the analysis of slider air bearings, we used the spatial discretization of the generalized lubrication equation based on a control volume formulation. The residual functions for inverse analysis of the slider are considered as the equality constraint functions. The slider rail heights of all grid cells are chosen as design variables since they are the topological parameters determining air bearing surface (ABS). Then, a complicated adjoint variable equation is formulated to directly handle the highly nonlinear asymmetric coefficient matrix and vector in the discrete system equations of slider air bearings. An alternating direction implicit (ADI) scheme is utilized to efficiently solve large-scale problem in special band storage. The simulation results of DSA are directly compared with those of finite-difference approximation (FDA) to show the effectiveness and accuracy of the proposed approach. The overall sensitivity distribution over the ABS is reported, and clearly shows to which section of the ABS the special attention should be given during the manufacturing process. It is demonstrated that the proposed method can reduce more than 99 percent of the CPU time in comparison with FDA, even though both methods give the same results.

Design sensitivity analysis for nonlinear thermal systems

1989 ◽  
Vol 77 (1-2) ◽  
pp. 61-77 ◽  
Author(s):  
Daniel A. Tortorelli ◽  
Robert B. Haber ◽  
Stephen C-Y. Lu
Keyword(s):  
Sensitivity Analysis ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Thermal Systems
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