Sensitivity Analysis for Coupled Aero-structural Systems

A novel method has been developed for calculating gradients of aerodynamic force and moment coefficients for an aeroelastic aircraft model. This method uses the Global Sensitivity Equations (GSE) to account for the aero-structural coupling, and a reduced-order modal analysis approach to condense the coupling bandwith between the aerodynamic and structural models. Parallel computing is applied to reduce the computational expense of the numerous high fidelity aerodynamic analyses needed for the coupled aero-structural system. Good agreement is obtained between aerodynamic force and moment gradients computed with the GSE/modal analysis approach and the same quantities computed between the computational expense of the GSE/modal analysis method and a pure finite difference approach is presented. These results show that the GSE/modal analysis approach is the more computationally efficient technique if sensitivity analysis is to be performed for two or more aircraft design parameters.

[1]  Gary L. Giles,et al.  Equivalent plate analysis of aircraft wing box structures with general planform geometry , 1986 .

[2]  Eli Livne,et al.  Integrated aeroservoelastic optimization - Status and direction , 1997 .

[3]  Eugene M. Cliff,et al.  Direct calculation of aerodynamic force derivatives - A sensitivity-equation approach , 1998 .

[4]  Marilyn J. Smith,et al.  An Evaluation of Computational Algorithms to Interface Between CFD and CSD Methodologies. , 1996 .

[5]  Gary L. Giles Further Generalization of an Equivalent Plate Representation for Aircraft Structural Analysis , 1989 .

[6]  Rakesh K. Kapania,et al.  Sensitivity analysis of aeroelastic response of a wing using piecewise pressure representation , 1993 .

[7]  Jaroslaw Sobieszczanskisobieski,et al.  On the sensitivity of complex, internally coupled systems , 1988 .

[8]  K. Bathe Finite Element Procedures , 1995 .

[9]  Gene Hou,et al.  First- and Second-Order Aerodynamic Sensitivity Derivatives via Automatic Differentiation with Incremental Iterative Methods , 1996 .

[10]  John R. Olds,et al.  System Sensitivity Analysis Applied to the Conceptual Design of a Dual-Fuel Rocket SSTO , 1994 .

[11]  Vladimir Olegovich Balabanov,et al.  Development of Approximations for HSCT Wing Bending Material Weight using Response Surface Methodology , 1997 .

[12]  Moti Karpel,et al.  Reduced-order models for integrated aeroservoelastic optimization , 1999 .

[13]  L Krist Sherrie,et al.  CFL3D User''s Manual (Version 5.0) , 1998 .

[14]  R. Chipman,et al.  Numerical computation of aeroelastically corrected transonic loads , 1979 .

[15]  Sobieszczanski Jaroslaw,et al.  Progress Toward Using Sensitivity Derivatives in a High-Fidelity Aeroelastic Analysis of a Supersonic Transport , 1998 .

[16]  P. G. Coen,et al.  Supersonic transport wing minimum weight design integrating aerodynamics and structures , 1994 .

[17]  Eli Livne,et al.  Integrated Aeroservoelastic Optimization: Status and Direction , 1999 .

[18]  Peretz P. Friedmann,et al.  Renaissance of Aeroelasticity and Its Future , 1999 .

[19]  Stephen Wolfram,et al.  The Mathematica Book , 1996 .

[20]  T. Cebeci,et al.  A general method for calculating aeros-structure interaction on aircraft configurations , 1996 .

[21]  Gary L. Giles,et al.  Equivalent plate analysis of aircraft wing box structures with general planform geometry , 1986 .

[22]  Rakesh K. Kapania,et al.  Sensitivity analysis of a wing aeroelastic response , 1991 .

[23]  P. G. Coen,et al.  Multidisciplinary Design Integration Methodology for a Supersonic Transport Aircraft , 1995 .

[24]  Jean Duchon,et al.  Splines minimizing rotation-invariant semi-norms in Sobolev spaces , 1976, Constructive Theory of Functions of Several Variables.

[25]  Rakesh K. Kapania,et al.  TRIM ANGLE OF ATTACK OF FLEXIBLE WINGS USING NON-LINEAR AERODYNAMICS , 1998 .

[26]  F. Yuan,et al.  SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) , 1999 .