Parameterization Framework for Aeroelastic Design Optimization of Bio-Inspired Wing Structural Layout

Traditionally, most efforts for improving aircraft aerodynamic efficiency have focused on shape optimization for a given structural concept. As a result, numerous new aircraft shapes have been proposed, but the basic structural layout of wings has remained mostly unchanged for decades. Today, progress in manufacturing techniques and the advent of disruptive technologies such as additive manufacturing in general and 3D printing in particular have opened the door for conceiving more sophisticated layouts of built-up wings. However, due to its many-queries nature, the optimization of a structural layout is difficult to perform experimentally, but can be conveniently simulated numerically. To this effect, this paper presents an approach for laying out the internal structure of a wing and a corresponding numerical optimization framework for supporting it. A key component of this approach is a parameterization scheme for the stiffeners that draws inspiration from nature. It enables the modeling of a vast array of topological structures using a limited number of parameters. Furthermore, it can be easily implemented in a given model generator, interfaced with high-fidelity flow solvers and structural analyzers, and incorporated in a global multidisciplinary optimization framework. This overall framework is discussed in this paper and illustrated with the multi disciplinary optimization of a wing for minimum weight using the positioning of spars and ribs and their thicknesses as optimization parameters, and aeroelastic characteristics as constraints.

[1]  Wei Wang,et al.  Simultaneous partial topology and size optimization of a wing structure using ant colony and gradient based methods , 2011 .

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

[3]  Alan Morris,et al.  The multi-disciplinary design of a large-scale civil aircraft wing taking account of manufacturing costs , 2004 .

[4]  A. Jameson,et al.  Aerodynamic Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation , 1996 .

[5]  Joaquim R. R. A. Martins,et al.  Aerodynamic Shape Optimization of a Blended-Wing-Body Aircraft , 2013 .

[6]  Gregory W. Brown,et al.  Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter , 2003 .

[7]  Charbel Farhat,et al.  A three-dimensional torsional spring analogy method for unstructured dynamic meshes , 2002 .

[8]  Charbel Farhat,et al.  The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids , 2001 .

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

[10]  Carol D. Wieseman,et al.  Internal Structural Design of the Common Research Model Wing Box for Aeroelastic Tailoring , 2015 .

[11]  Charbel Farhat,et al.  Matching fluid and structure meshes for aeroelastic computations : a parallel approach , 1995 .

[12]  Kevin G. Wang,et al.  Algorithms for interface treatment and load computation in embedded boundary methods for fluid and fluid–structure interaction problems , 2011 .

[13]  Nhan Nguyen,et al.  Elastically Shaped Wing Optimization and Aircraft Concept for Improved Cruise Efficiency , 2013 .

[14]  R. M. Hicks,et al.  Wing Design by Numerical Optimization , 1977 .

[15]  Raphael T. Haftka,et al.  Topology optimization of transport wing internal structure , 1996 .

[16]  R. M. Kolonay,et al.  On a cellular division method for aircraft structural design , 2009 .

[17]  Rakesh K. Kapania,et al.  Wing-Box Weight Optimization Using Curvilinear Spars and Ribs (SpaRibs) , 2011 .

[18]  P. Tallec,et al.  Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity , 1998 .

[19]  E. Toro,et al.  Restoration of the contact surface in the HLL-Riemann solver , 1994 .

[20]  Bernd Einfeld On Godunov-type methods for gas dynamics , 1988 .

[21]  Charbel Farhat,et al.  Aeroelastic Dynamic Analysis of a Full F-16 Configuration for Various Flight Conditions , 2003 .

[22]  Rakesh K. Kapania,et al.  Parameterization of Curvilinear Spars and Ribs for Optimum Wing Structural Design , 2014 .

[23]  Paul Marks,et al.  3D printing takes off with the world's first printed plane , 2011 .

[24]  J K Shang,et al.  Artificial insect wings of diverse morphology for flapping-wing micro air vehicles , 2009, Bioinspiration & biomimetics.

[25]  Shaker A. Meguid,et al.  Shape morphing of aircraft wing: Status and challenges , 2010 .

[26]  Robert Haimes,et al.  On Structural Layout using Multidelity Geometry in Aircraft Conceptual Design , 2010 .

[27]  J. Samareh Survey of Shape Parameterization Techniques for High-Fidelity Multidisciplinary Shape Optimization , 2001 .

[28]  Charbel Farhat,et al.  Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations , 2003 .

[29]  C. Farhat,et al.  Torsional springs for two-dimensional dynamic unstructured fluid meshes , 1998 .

[30]  Sujin Bureerat,et al.  Aircraft morphing wing design by using partial topology optimization , 2013 .

[31]  Peter Ifju,et al.  Aeroelastic topology optimization of membrane structures for micro air vehicles , 2008 .

[32]  David Lentink,et al.  Structural Analysis of a Dragonfly Wing , 2010 .