Dynamic Aeroelasticity of Structurally Nonlinear Configurations Using Linear Modally Reduced Aerodynamic Generalized Forces

Steady state and time domain methods for integrating commonly used frequency-domain unsteady aerodynamic modeling based on a modal approach with full order flnite element models for structures with geometric nonlinearities are introduced. The methods are aimed at airplane conflgurations where geometric stifiness efiects are important but where deformations are moderate, ∞ow is attached, and linear unsteady aerodynamic modeling is adequate, such as joined-wing and strut-braced wings at small to moderate angles of attack or low aspect ratio wing. Results obtained using full order nonlinear structural modeling and full order aerodynamic modeling (including aerodynamic in∞uence coe‐cients for all aerodynamic panels) are compared to results obtained using full order structural modeling with generalized aerodynamic matrices obtained using a modal approach.

[1]  Carlos E. S. Cesnik,et al.  Nonlinear Aeroelastic Analysis of Complete Aircraft in Subsonic Flow , 2000 .

[2]  Mayuresh J. Patil.  NONLINEAR AEROELASTIC ANALYSIS OF JOINED-WING AIRCRAFT , 2003 .

[3]  Robert A. Canfield,et al.  Aero-Structural Coupling and Sensitivity of a Joined-Wing SensorCraft , 2003 .

[4]  E. Livne,et al.  Aeroelasticity of joined-wing airplane configurations - Past work and future challenges - a survey , 2001 .

[5]  Luciano Demasi,et al.  Exploratory Studies of Joined Wing Aeroelasticity , 2005 .

[6]  Earl H. Dowell,et al.  Modeling delta wing limit-cycle oscillations using a high-fidelity structural model , 2005 .

[7]  J. Wolkovitch,et al.  The joined wing - An overview , 1985 .

[8]  Carlos E. S. Cesnik,et al.  Nonlinear Aeroelastic Modeling and Analysis of Fully Flexible Aircraft , 2005 .

[9]  Mark Drela,et al.  INTEGRATED SIMULATION MODEL FOR PRELIMINARY AERODYNAMIC, STRUCTURAL, AND CONTROL-LAW DESIGN OF AIRCRAFT , 1999 .

[10]  Mark James Johnson,et al.  Finite-State Airloads for Deformable Airfoils on Fixed and Rotating Wings , 1994 .

[11]  Luciano Demasi,et al.  Aeroelasticity of Structurally Nonlinear Lifting Surfaces Using Linear Modally Reduced Aerodynamic Generalized Forces , 2006 .

[12]  Alfred E. Magnus,et al.  PAN AIR: A Computer Program for Predicting Subsonic or Supersonic Linear Potential Flows About Arbitrary Configurations Using a Higher Order Panel Method. Volume 1; Theory Document (Version 1.1) , 1981 .

[13]  Danny D. Liu,et al.  Unsteady subsonic aerodynamics for bodies and wings with external stores including wake effect , 1993 .

[14]  E. Nissim,et al.  Three-Dimensional Oscillatory Piecewise Continuous-Kernel Function Method-Part II: Geometrically Continuous Wings , 1981 .

[15]  Luciano Demasi,et al.  The Structural Order Reduction Challenge in the Case of Geometrically Nonlinear Joined-Wing Configurations , 2007 .

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

[17]  Carlos E. S. Cesnik,et al.  Nonlinear Aeroelasticity and Flight Dynamics of High-Altitude Long-Endurance Aircraft , 2001 .

[18]  Robert A. Canfield,et al.  Optimization process for configuration of flexible joined-wing , 2004 .

[19]  Sven G Hedman.  VORTEX LATTICE METHOD FOR CALCULATION OF QUASI STEADY STATE LOADINGS ON THIN ELASTIC WINGS IN SUBSONIC FLOW , 1966 .

[20]  E. C. Yates,et al.  A kernel-function formulation for nonplanar lifting surfaces oscillating in subsonic flow. , 1966 .

[21]  Robert Levy,et al.  Triangular Shell Element for Large Rotations Analysis , 2003 .

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

[23]  H. Dunn.  An analytical technique for approximating unsteady aerodynamics in the time domain , 1980 .

[24]  W. Rodden,et al.  A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows. , 1969 .

[25]  Philip S. Beran,et al.  Aeroelastic Analysis of a High-Altitude Long-Endurance Joined-Wing Aircraft , 2005 .

[26]  Terrence A. Weisshaar,et al.  Aeroelasticity of Nonconventional Airplane Configurations-Past and Future , 2003 .

[27]  William R. Spillers,et al.  Analysis of Geometrically Nonlinear Structures , 1994 .

[28]  Rakesh K. Kapania,et al.  Parametric Studies of Flutter Speed in a Strut-Braced Wing , 2002 .

[29]  R. N. Desmarais,et al.  Interpolation using surface splines. , 1972 .

[30]  Giovanni Monegato,et al.  Numerical evaluation of hypersingular integrals , 1994 .

[31]  L. V. Andrew,et al.  UNSTEADY AERODYNAMICS FOR ADVANCED CONFIGURATIONS. PART 2. A TRANSONIC BOX METHOD FOR PLANAR LIFTING SURFACES , 1965 .

[32]  Max Blair,et al.  A Compilation of the Mathematics Leading to the Doublet Lattice Method , 1992 .

[33]  Earl H. Dowell,et al.  LIMIT CYCLE OSCILLATIONS OF DELTA WING MODELS IN LOW SUBSONIC FLOW , 1999 .

[34]  Mayuresh J. Patil,et al.  Time Domain Nonlinear Aeroelastic Analysis for HALE Wings , 2006 .

[35]  William P. Rodden,et al.  Further Refinement of the Subsonic Doublet-Lattice Method , 1998 .

[36]  Walter Eversman,et al.  Application of Transient Aerodynamics to the Structural Nonlinear Flutter Problem , 1988 .

[37]  E. Kreyszig,et al.  Advanced Engineering Mathematics. , 1974 .

[38]  Earl H. Dowell,et al.  Limit Cycle Oscillations of a Cantilevered Wing in Low Subsonic Flow , 1999 .

[39]  Dewey H. Hodges,et al.  On the importance of aerodynamic and structural geometrical nonlinearities in aeroelastic behavior of high-aspect-ratio wings , 2000 .

[40]  J. Giesing,et al.  Application of the Doublet-Lattice Method to Nonplanar Configurations in Subsonic Flow , 1970 .

[41]  R. E. Clemmons,et al.  Dynamic loads analysis system (DYLOFLEX) summary. Volume 1: Engineering formulation , 1979 .

[42]  Robert Levy,et al.  The geometric stiffness of triangular composite-materials shell elements , 2005 .

[43]  Mark Drela,et al.  Method for Simultaneous Wing Aerodynamic and Structural Load Prediction , 1989 .

[44]  Rakesh K. Kapania,et al.  EFFECT OF COMPRESSIVE FORCE ON FLUTTER SPEED OF A STRUT-BRACED WING , 2003 .

[45]  J. Giesing,et al.  Subsonic unsteady aerodynamics for general configurations , 1972 .

[46]  Erwin Sulaeman,et al.  Effect of Compressive Force on Aeroelastic Stability of a Strut-Braced Wing , 2001 .

[47]  Luciano Demasi,et al.  Aeroelastic coupling of geometrically nonlinear structures and linear unsteady aerodynamics: Two formulations , 2009 .

[48]  T. Ueda.  Expansion series of integral functions occurring in unsteady aerodynamics , 1982 .

[49]  William P. Rodden,et al.  Application of the Doublet-Lattice Method to Nonplanar Configurations in Subsonic Flow , 1971 .

[50]  B. A. Harrison,et al.  A program to compute three-dimensional subsonic unsteady aerodynamic characteristics using the doublet lattic method, L216 (DUBFLX). Volume 1: Engineering and usage , 1979 .

[51]  William Newsome Boyd.  Effect of chordwise forces and deformations and deformations due to steady lift on wing flutter , 1979 .

[52]  Earl H. Dowell,et al.  Experimental and Theoretical Study on Aeroelastic Response of High-Aspect-Ratio Wings , 2001 .

[53]  K. L. Roger,et al.  Airplane Math Modeling Methods for Active Control Design , 1977 .

[54]  M. Landahl,et al.  Kernel Function for Nonplanar Oscillating Surfaces in a Subsonic Flow , 1967 .

[55]  J. Katz,et al.  Low-Speed Aerodynamics , 1991 .

[56]  H. Saunders.  Book Reviews : NUMERICAL METHODS IN FINITE ELEMENT ANALYSIS K.-J. Bathe and E.L. Wilson Prentice-Hall, Inc, Englewood Cliffs, NJ , 1978 .

[57]  Earl H. Dowell,et al.  Modeling the LCO of a Delta Wing Using a High , 2004 .

[58]  Robert A. Canfield,et al.  Joined-Wing Sensor-Craft Configuration Design , 2004 .

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

[60]  D. Liu,et al.  Unsteady supersonic computations of arbitrary wing-body configurations including external stores , 1988 .

[61]  P. C. Chen,et al.  NONLINEAR AEROELASITIC STUDIES ON A JOINED-WING WITH WING BUCKLING EFFECTS , 2004 .