A Multi-disiplinary Code Coupling Approach for Analysis and Optimization of Aeroelastic Systems

We consider the static aeroelastic analysis and optimization of aircraft wings for steadystate conditions while both aerodynamic and structural parameters can be used as optimization variables. The core eort of this work lies on developing a robust methodology to couple commercial codes for a full aeroelastic optimization purpose to yield a convenient adaptation to engineering applications in industry. A commercial nite volume based ow solver Fluent-6.3.26 is used to solve inviscid 3D Euler equations, Gambit as the uid domain mesh generator and Catia-V5-R16 as a parametric 3D solid modeler. Abaqus-6.7.1, a structural nite element method solver, is used to compute the structural response of the aeroelastic system. Mesh based parallel code coupling interface MPCCI-3.0.6 is used to exchange the pressure and displacement information between Fluent and Abaqus to perform a loosely coupled aeroelastic analysis by employing a staggered algorithm. Modefrontier-4.0 is used as a multi-objective and multidisiplinary optimization software with both gradientbased and gradient-free optimization algorithms. Aeroelastic optimization is performed for a basic experimental wing model based on AGARD 445.6 elastic wing conguration with multi-objectives of maximum lift over drag ratio and minimum weight of the wing. Static aeroelastic criteria on maximum tip deection are given as design constraints. Optimization variables are chosen as sweep angle at the quarter chord and the taper ratio of the wing. A genetic algorithm NSGA-II is used to control the optimization process. The aeroelastic analysis results produced a good agreement with the experimental data given in literature and the the aeroelastic optimization study resulted with a set of pareto optimal values.

[1]  Anthony A. Giunta,et al.  A NOVEL SENSITIVITY ANALYSIS METHOD FOR HIGH FIDELITY MULTIDISCIPLINARY OPTIMIZATION OF AERO-STRUCTURAL SYSTEMS , 2000 .

[2]  Kurt Maute,et al.  Aeroelastic design optimization for laminar and turbulent flows , 2008 .

[3]  Oktay Baysal,et al.  Three-dimensional aerodynamic shape optimization using discrete sensitivity analysis , 1996 .

[4]  R. D. Firouz-Abadi,et al.  Reduced-order aerodynamic model for aeroelastic analysis of complex configurations in incompressible flow , 2007 .

[5]  P. A. Newman,et al.  Aerodynamic optimization studies using a 3-D supersonic Euler code with efficient calculation of sensitivity derivatives , 1994 .

[6]  Mordechay Karpel,et al.  Integrated solution for computational static aeroelastic problems , 1996 .

[7]  Kazuhiro Nakahashi,et al.  Navier-Stokes Optimization of Supersonic Wings with Four Objectives Using Evolutionary Algorithm , 2002 .

[8]  P. A. Newman,et al.  Efficient nonlinear static aeroelastic wing analysis , 1999 .

[9]  Erik Lund,et al.  Shape Sensitivity Analysis of Strongly Coupled Fluid-Structure Interaction Problems , 2000 .

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

[11]  Afzal Suleman,et al.  Fluid–structure interaction modelling of nonlinear aeroelastic structures using the finite element corotational theory , 2006 .

[12]  C. Farhat,et al.  Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems , 2000 .

[13]  C. Farhat,et al.  Coupled Analytical Sensitivity Analysis and Optimization of Three-Dimensional Nonlinear Aeroelastic Systems , 2001 .

[14]  Myles Baker,et al.  A practical approach to MDO and its application to an HSCT aircraft (Multidisciplinary Design Optimization) , 1995 .

[15]  Guru P. Guruswamy,et al.  Transonic-buffet associated aeroelasticity of a supercritical wing , 1996 .

[16]  Antony Jameson,et al.  Re-engineering the design process through computation , 1997 .

[17]  Peretz P. Friedmann,et al.  Helicopter vibration reduction using structural optimization with aeroelastic/multidisciplinary constraints - A survey , 1991 .

[18]  Eric Charlton.  COMPUTATIONAL AEROELASTICITY IN HIGH PERFORMANCE AIRCRAFT FLIGHT LOADS , 2000 .

[19]  Donald E. Grierson,et al.  Emergent Computing Methods in Engineering Design: Applications of Genetic Algorithms, Neural Networks , 1996 .

[20]  Ratneshwar Jha,et al.  Multidisciplinary Optimization of Composite Wings Using Refined Structural and Aeroelastic Analysis Methodologies , 1997, 4th International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise: Volume III.

[21]  William H. Mason,et al.  Variable-complexity aerodynamic-structural design of a high-speed civil transport wing , 1992 .

[22]  Melike Nikbay,et al.  Multidisciplinary Code Coupling for Analysis and Optimization of Aeroelastic Systems , 2009 .

[23]  Robert Fithen,et al.  Coupling of a nonlinear finite element structural method with a Navier–Stokes solver , 2003 .

[24]  C. Farhat,et al.  Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution , 1995 .

[25]  Oktay Baysal,et al.  Wing-section optimization for supersonic viscous flow , 1998 .

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

[27]  Jeffrey P. Thomas,et al.  Transonic Limit Cycle Oscillation Analysis Using Reduced Order Aerodynamic Models , 2001 .

[28]  Azzeddine Soulaïmani,et al.  Nonlinear Aeroelasticity Computations in Transonic Flows Using Tightly Coupling Algorithms , 2006 .

[29]  Satchidananda Dehuri,et al.  Evolutionary Algorithms for Multi-Criterion Optimization: A Survey , 2004 .

[30]  Ramji Kamakoti,et al.  Computational aeroelasticity using a pressure-based solver , 2002 .

[31]  George Em Karniadakis,et al.  HIGH-ORDER FINITE ELEMENTS FOR FLUID-STRUCTURE INTERACTION PROBLEMS , 2003 .

[32]  J. Cai,et al.  Static aero-elastic computation with a coupled CFD and CSD method , 2001 .

[33]  Paolo Mantegazza,et al.  Preliminary Assessment of the Complete Aeroelastic Simulation of the M-346 in Transonic Condition with a CFD Navier-Stokes Solver , 2005 .

[34]  Ramana V. Grandhi,et al.  Structural optimization of lifting surfaces with divergence and control reversal constraints , 1989 .

[35]  Manoj Kumar Bhardwaj,et al.  A CFD/CSD interaction methodology for aircraft wings , 1998 .

[36]  Charbel Farhat,et al.  Reduced-order fluid/structure modeling of a complete aircraft configuration , 2006 .

[37]  A. Chattopadhyay,et al.  A multidisciplinary optimization using semi-analytical sensitivity analysis procedure and multilevel decomposition , 1995 .

[38]  Melike Nikbay,et al.  Coupled sensitivity analysis by discrete-analytical direct and adjoint methods with applications to aeroelastic optimization and sonic boom minimization , 2002 .

[39]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[40]  Joaquim R. R. A. Martins,et al.  High-Fidelity Aerostructural Design Optimization of a Supersonic Business Jet , 2002 .

[41]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[42]  Charbel Farhat,et al.  Sensitivity analysis and design optimization of three‐dimensional non‐linear aeroelastic systems by the adjoint method , 2003 .

[43]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[44]  T Haftka Raphael,et al.  Multidisciplinary aerospace design optimization: survey of recent developments , 1996 .

[45]  Thomas Bäck,et al.  A Survey of Evolution Strategies , 1991, ICGA.

[46]  Guru P. Guruswamy,et al.  Static aeroelastic characteristics of an advanced wing with a control surface using Navier-Stokes equations , 1999 .

[47]  Her Mann Tsai,et al.  Calculation of Wing Flutter by a Coupled CFD-CSD Method , 2000 .

[48]  Yongsheng Lian,et al.  Computational Aeroelasticity Using a Pressure-based Solver , 2002 .

[49]  E C Yates,et al.  AGARD Standard Aeroelastic Configurations for Dynamic Response I - Wing 445.6 , 1988 .

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