scholarly journals The Analysis of Thin Wires Using Higher Order Elements and Basis Functions

2006 ◽  
Vol 54 (12) ◽  
pp. 3815-3821 ◽  
Author(s):  
Nathan J. Champagne ◽  
Donald R. Wilton ◽  
John D. Rockway
Keyword(s):  
Higher Order ◽  
Basis Functions ◽  
Thin Wires

scholarly journals Parameterization of Large Variability Using the Hyper-Dual Meta-Model

2018 ◽  
Vol 3 (1) ◽  
Author(s):  
Matthew S. Bonney ◽  
Daniel C. Kammer
Keyword(s):  
Uncertainty Quantification ◽  
Material Properties ◽  
Response Curve ◽  
Higher Order ◽  
Design Analysis ◽  
Basis Functions ◽  
Computational Power ◽  
Traditional Methods ◽  
Large Variability ◽  
Meta Model

One major problem in the design of aerospace components is the nonlinear changes in the response due to a change in the geometry and material properties. Many of these components have small nominal values and any change can lead to a large variability. In order to characterize this large variability, traditional methods require either many simulation runs or the calculations of many higher-order derivatives. Each of these paths requires a large amount of computational power to evaluate the response curve. In order to perform uncertainty quantification (UQ) analysis, even more simulation runs are required. The hyper-dual meta-model (HDM) is introduced and used to characterize the response curve with the use of basis functions. The information of the response is generated with the utilization of the hyper-dual (HD) step to determine the sensitivities at a few number of simulation runs to greatly enrich the response space. This paper shows the accuracy of this method for two different systems with parameterizations at different stages in the design analysis.

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