A Two-Level Approach for the Optimal Design of Morphing Wings Based On Compliant Structures

The great interest in developing morphing airfoils is mainly based on their capability to adapt their shape to optimize some specific aircraft performance indices during the mission. Nevertheless, the design of these kinds of devices requires the availability of ad hoc-developed procedures able to tackle the conflicting requirements such as the high deformability requested to change the airfoil shape coupled to the load-carrying capability and to the low weight. The article proposes an approach for optimal airfoil-morphing design based on a compactapproach to describe the airfoil geometry coupled to a two-level optimization procedure. In the first one, the best deformed airfoil configuration is determined as the most efficient aerodynamic shape which at the same time limits the requested energy to deform the airfoil skin. In the second optimization level, the best internal structural configuration is obtained using an ad hoc-developed topology optimization tool based on genetic algorithms that synthesize a compliant structure able to adapt itself in order to match the optimal shape coming out from the first level. The procedure has been applied to design the morphing leading and trailing edges for an NACA 63_2215 airfoil.

[1]  Janet Sater,et al.  Smart air and space structure demonstrations - Status and technical issues , 2000 .

[2]  Holger Hanselka,et al.  An adaptive spoiler to control the transonic shock , 2000 .

[3]  David J. Wagg,et al.  Adaptive Structures: Engineering Applications , 2007 .

[4]  Walter Kröll,et al.  European aeronautics: a vision for 2020 - a synopsis , 2001 .

[5]  Edmund Pendleton,et al.  Active Aeroelastic Wing Flight Research Program: Technical Program and Model Analytical Development , 2000 .

[6]  Sridhar Kota,et al.  Adaptive structures: Moving into the mainstream , 2006 .

[7]  Hans Peter Monner,et al.  Realization of an optimized wing camber by using formvariable flap structures , 2001 .

[8]  Jayanth N. Kudva,et al.  Development of Next Generation Morphing Aircraft Structures , 2007 .

[9]  Jonathan D. Bartley-Cho,et al.  Development of High-rate, Adaptive Trailing Edge Control Surface for the Smart Wing Phase 2 Wind Tunnel Model , 2004 .

[10]  William A. Crossley,et al.  AIRCRAFT SIZING WITH MORPHING AS AN INDEPENDENT VARIABLE: MOTIVATION, STRATEGIES AND INVESTIGATIONS , 2002 .

[11]  P. Mantegazza,et al.  Multibody Implementation of Finite Volume C-0 Beams , 2000 .

[12]  Mark A. Hopkins,et al.  Structures technology for future aerospace systems , 1998 .

[13]  O. Amoignon,et al.  Mesh Deformation using Radial Basis Functions for Gradient-based Aerodynamic Shape Optimization , 2007 .

[14]  S. Kota,et al.  An Effective Method of Synthesizing Compliant Adaptive Structures using Load Path Representation , 2005 .

[15]  Gareth A. Vio,et al.  Adaptive aeroelastic concept applied to a civil jet aircraft model , 2010 .

[16]  J. J. Spillman,et al.  The use of variable camber to reduce drag, weight and costs of transport aircraft , 1992, The Aeronautical Journal (1968).

[17]  Anna-Maria Rivas McGowan,et al.  The Aircraft Morphing Program , 1998 .

[18]  B. Kulfan A Universal Parametric Geometry Representation Method - "CST" , 2007 .

[19]  Osvaldo M. Querin,et al.  Growth method for size, topology, and geometry optimization of truss structures , 2006 .

[20]  Gian Luca Ghiringhelli,et al.  Preliminary Sizing of the Wing-Box Structure by Multi-Level Approach , 2005 .

[21]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .

[22]  M. Bendsøe,et al.  Optimization methods for truss geometry and topology design , 1994 .

[23]  H. Wendland,et al.  Multivariate interpolation for fluid-structure-interaction problems using radial basis functions , 2001 .

[24]  Brian D. Roth,et al.  APPLICATION OF OPTIMIZATION TECHNIQUES IN THE CONCEPTUAL DESIGN OF MORPHING AIRCRAFT , 2003 .

[25]  Sridhar Kota,et al.  An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms , 1999 .

[26]  Sergio Ricci,et al.  Application of MDO techniques to the preliminary design of morphed aircraft , 2006 .

[27]  I. H. Abbott,et al.  Theory of Wing Sections , 1959 .

[28]  Sridhar Kota,et al.  Design of Compliant Mechanisms for Morphing Structural Shapes , 2003 .

[29]  Pierangelo Masarati,et al.  Comprehensive Multibody AeroServoElastic Analysis of Integrated Rotorcraft Active Controls , 1999 .

[30]  Afzal Suleman,et al.  Design of a Morphing Airfoil Using Aerodynamic Shape Optimization , 2006 .

[31]  B. Kulfan Universal Parametric Geometry Representation Method , 2008 .

[32]  William A. Crossley,et al.  Comparison of Morphing Wing Strategies Based Upon Aircraft Performance Impacts , 2004 .

[33]  Sergio Ricci,et al.  Active Aeroelastic Control Over a Multisurface Wing: Modeling and Wind-Tunnel Testing , 2007 .

[34]  Sridhar Kota,et al.  Synthesis of Adaptive and Controllable Compliant Systems With Embedded Actuators and Sensors , 2006 .

[35]  Jamshid A. Samareh,et al.  Status and Future of Geometry Modeling and Grid Generation for Design and Optimization , 1999 .

[36]  Jon Trevelyan,et al.  Evolutionary structural optimisation based on boundary representation of NURBS. Part I: 2D algorithms , 2005 .

[37]  Sridhar Kota,et al.  Static Shape Control of Smart Structures Using Compliant Mechanisms , 1999 .

[38]  Sergio Ricci,et al.  Design, Manufacturing and Preliminary Test Results of an Adaptive Wing Camber Model , 2006 .

[39]  Sridhar Kota,et al.  Topology and Dimensional Synthesis of Compliant Mechanisms Using Discrete Optimization , 2006 .

[40]  Ahmed K. Noor,et al.  FRONTIERS OF THE MATERIAL WORLD , 1998 .

[41]  Andrew,et al.  Design Optimization of a Controllable Camber Rotor Airfoil , 2005 .

[42]  Sergio Ricci,et al.  Multilevel Structural Optimization for Preliminary Wing-Box Weight Estimation , 2010 .

[43]  Brenda M. Kulfan,et al.  New Supersonic Wing Far-Field Composite-Element Wave-Drag Optimization Method , 2009 .

[44]  Gregory F Ervin,et al.  Mission Adaptive Compliant Wing – Design , Fabrication and Flight Test , 2009 .

[45]  Sridhar Kota,et al.  Flight testing of Mission Adaptive Compliant Wing , 2007 .

[46]  Donald Paul,et al.  THE X-53 A SUMMARY OF THE ACTIVE AEROELASTIC WING FLIGHT RESEARCH PROGRAM , 2007 .

[47]  Sergio Pellegrino,et al.  Topological Optimization of Compliant Adaptive Wing Structure , 2009 .

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

[49]  Terrence A. Weisshaar,et al.  Aeroelastic tailoring - Creative uses of unusual materials , 1987 .

[50]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[51]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[52]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[53]  Daniel P. Raymer,et al.  Aircraft Design: A Conceptual Approach , 1989 .

[54]  Sergio Ricci,et al.  Application of Adaptive Camber Mechanism to Morphing Wings , 2009 .

[55]  Daniella E. Raveh,et al.  Structural Optimization Using Computational Aerodynamics , 2000 .

[56]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[57]  Jamshid A. Samareh,et al.  Novel Multidisciplinary Shape Parameterization Approach , 2001 .

[58]  Holger Wendland,et al.  Scattered Data Approximation: Conditionally positive definite functions , 2004 .

[59]  Mary Frecker,et al.  Design of a Comfortable Rotor Airfoil Using Distributed Piezoelectric Actuators , 2005 .

[60]  Sridhar Kota,et al.  PARAMETERIZATION STRATEGY FOR OPTIMIZATION OF SHAPE MORPHING COMPLIANT MECHANISMS USING LOAD PATH REPRESENTATION , 2003, DAC 2003.

[61]  Noboru Kikuchi,et al.  TOPOLOGY OPTIMIZATION OF COMPLIANT MECHANISMS USING THE HOMOGENIZATION METHOD , 1998 .

[62]  John E. Bussoletti,et al.  "Fundamental" Parameteric Geometry Representations for Aircraft Component Shapes , 2006 .

[63]  A. S. Brown NEW CERAMIC MAY FIND REAL-WORLD USES , 1998 .