scholarly journals An inverse approach for airfoil design

Author(s):  
M. T. Rahmati ◽  
G. A. Aggidis ◽  
M. Zangeneh
Keyword(s):  
2006 ◽  
Vol 40 (3) ◽  
pp. 269-290 ◽  
Author(s):  
Eric Bideaux ◽  
Jérôme Laffite ◽  
Wilfrid Marquis-Favre ◽  
Serge Scavarda ◽  
Franck Guillemard

2004 ◽  
Vol 24 (18) ◽  
pp. 2167-2185 ◽  
Author(s):  
M.G.G. Foreman ◽  
G. Sutherland ◽  
P.F. Cummins

Author(s):  
Felipe Lima dos Reis Marques ◽  
Claudio Floridia ◽  
Thayane Alves Almeida ◽  
Ariovaldo Antonio Leonardi ◽  
Fabiano Fruett

Author(s):  
Marvin Hardt ◽  
Thomas Bergs

AbstractAnalyzing the chip formation process by means of the finite element method (FEM) is an established procedure to understand the cutting process. For a realistic simulation, different input models are required, among which the material model is crucial. To determine the underlying material model parameters, inverse methods have found an increasing acceptance within the last decade. The calculated model parameters exhibit good validity within the domain of investigation, but suffer from their non-uniqueness. To overcome the drawback of the non-uniqueness, the literature suggests either to enlarge the domain of experimental investigations or to use more process observables as validation parameters. This paper presents a novel approach merging both suggestions: a fully automatized procedure in conjunction with the use of multiple process observables is utilized to investigate the non-uniqueness of material model parameters for the domain of cutting simulations. The underlying approach is two-fold: Firstly, the accuracy of the evaluated process observables from FE simulations is enhanced by establishing an automatized routine. Secondly, the number of process observables that are considered in the inverse approach is increased. For this purpose, the cutting force, cutting normal force, chip temperature, chip thickness, and chip radius are taken into account. It was shown that multiple parameter sets of the material model can result in almost identical simulation results in terms of the simulated process observables and the local material loads.


2014 ◽  
Vol 17 (03) ◽  
pp. 1450018 ◽  
Author(s):  
ALEXANDER M. G. COX ◽  
DAVID HOBSON ◽  
JAN OBłÓJ

We pursue an inverse approach to utility theory and associated consumption and investment problems. Instead of specifying a utility function and deriving the actions of an agent, we assume that we observe the actions of the agent (i.e. consumption and investment strategies) and ask if it is possible to derive a utility function for which the observed behavior is optimal. We work in continuous time both in a deterministic and stochastic setting. In the deterministic setup, we find that there are infinitely many utility functions generating a given consumption pattern. In the stochastic setting of a geometric Brownian motion market it turns out that the consumption and investment strategies have to satisfy a consistency condition (PDE) if they are to come from a classical utility maximization problem. We show further that important characteristics of the agent such as risk attitudes (e.g., DARA) can be deduced directly from the agent's consumption and investment choices.


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