Sensitivity Analysis Using Direct Differentiation and Adjoint Vector Methods for Helicopter Rotor Flow In Hover

Author(s):  
Antoine Dumont ◽  
Arnaud Le Pape ◽  
Jacques Peter ◽  
Serge Huberson
Author(s):  
Radu Serban ◽  
Jeffrey S. Freeman

Abstract Methods for formulating the first-order design sensitivity of multibody systems by direct differentiation are presented. These types of systems, when formulated by Euler-Lagrange techniques, are representable using differential-algebraic equations (DAE). The sensitivity analysis methods presented also result in systems of DAE’s which can be solved using standard techniques. Problems with previous direct differentiation sensitivity analysis derivations are highlighted, since they do not result in valid systems of DAE’s. This is shown using the simple pendulum example, which can be analyzed in both ODE and DAE form. Finally, a slider-crank example is used to show application of the method to mechanism analysis.


AIAA Journal ◽  
1990 ◽  
Vol 28 (6) ◽  
pp. 1089-1097 ◽  
Author(s):  
Joon W. Lim ◽  
Inderjit Chopra

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