Studies on Fluid-Thermal-Structural Coupling for Aerothermoelasticity in Hypersonic Flow

The field of aerothermoelasticity plays an important role in the analysis and optimization of airbreathing hypersonic vehicles, impacting the design of the aerodynamic, structural, control, and propulsion systems at both the component and multidisciplinary levels. This study aims to expand the fundamental understanding of hypersonic aerothermoelasticity by performing systematic investigations into fluid-thermal-structural coupling. A focus is on the targeted use of simplified coupling procedures in order to abate the computational effort associated with comprehensive aerothermoelastic analysis. Because of the fundamental nature of this work, the analysis is limited to cylindrical bending of a simply supported, von Karman panel. Multiple important effects are included in the analysis: namely, 1) mutual coupling between elastic deformation and aerodynamic heating, 2) transient arbitrary in-plane and through-thickness temperature distributions, and 3) the associated thermal stresses and material property degradations. It is found that including elastic deformations in the aerodynamic heating computations results in nonuniform heat flux, which produces nonuniform temperature distributions and material property degradations. This results in localized regions in which material temperature limits may be exceeded; it also impacts flutter boundary predictions and nonlinear flutter response. Additionally, the tradeoff between computational cost and accuracy is evaluated for aerothermoelastic analysis based on either quasi-static or time-averaged dynamic coupling. It is determined that these approaches offer substantial reductions in computational expense, with negligible loss of accuracy, for aerothermoelastic analysis over long-duration hypersonic trajectories.

[1]  Carlos E. S. Cesnik,et al.  Enhanced Modal Solutions for Structural Dynamics in Aerothermoelastic Analysis , 2011 .

[2]  John Dugundji,et al.  Similarity Laws for Aerothermoelastic Testing , 1962 .

[3]  Peretz P. Friedmann,et al.  Three-Dimensional Aeroelastic and Aerothermoelastic Behavior in Hypersonic Flow , 2005 .

[4]  David J. Lucia,et al.  Reduced Order Modeling For High Speed Flows with Moving Shocks , 2001 .

[5]  Seid H. Pourtakdoust,et al.  NONLINEAR AEROTHERMOELASTIC BEHAVIOR OF SKIN PANEL WITH WALL SHEAR STRESS EFFECT , 2005 .

[6]  Harry L Runyan,et al.  Effect of aerodynamic heating on the flutter of a rectangular wing at a Mach number of 2 , 1958 .

[7]  Michael E. Tauber,et al.  A review of high-speed, convective, heat-transfer computation methods , 1989 .

[8]  Charles V. Spain,et al.  An experimental and analytical study of a lifting-body wind-tunnel model exhibiting body-freedom flutter , 1993 .

[9]  Chuh Mei,et al.  Finite Element Modal Formulation for Hypersonic Panel Flutter Analysis with Thermal Effects , 2003 .

[10]  Satyajit S. Ghoman,et al.  Frequency Domain Method for Flutter Analysis of Curved Panels under Yawed Supersonic Flow at Elevated Temperature , 2008 .

[11]  Giuseppe Surace,et al.  Enhanced Aeroelastic Analysis of Panels Under Transitory Hypersonic Flow Conditions , 2000 .

[12]  Peretz P. Friedmann,et al.  Hypersonic Aerothermoelastic Studies for Reusable Launch Vehicles , 2004 .

[13]  W. E. Bruce,et al.  Techniques for aerothermal tests of large, flightweight thermal protection panels in a Mach 7 wind tunnel , 1974 .

[14]  Thomas A. Zeiler,et al.  Aeroelastic character of a National Aerospace Plane demonstrator concept , 1993 .

[15]  Andrew R. Crowell,et al.  Model Reduction of Computational Aerothermodynamics for Hypersonic Aerothermoelasticity , 2012 .

[16]  Chuh Mei,et al.  Finite Element Time Domain - Modal Formulation for Nonlinear Flutter of Composite Curved Panels , 2006 .

[17]  Maurice A. Biot,et al.  Influence of Thermal Stresses on the Aeroelastic Stability of Supersonic Wings , 1957 .

[18]  Dewey H. Hodges,et al.  Introduction to Structural Dynamics and Aeroelasticity , 2002 .

[19]  E. Dowell.  Nonlinear oscillations of a fluttering plate. II. , 1966 .

[20]  T. Y. Yang,et al.  Flutter of thermally buckled finite element panels , 1976 .

[21]  Raphael T. Haftka,et al.  Surrogate-based Analysis and Optimization , 2005 .

[22]  P. Beran,et al.  Reduced-order modeling: new approaches for computational physics , 2004 .

[23]  Steven C. Chapra,et al.  Numerical Methods for Engineers , 1986 .

[24]  R. C. Zhou,et al.  Finite element time domain : modal formulation for nonlinear flutter of composite panels , 1994 .

[25]  Woodrow Whitlow,et al.  An overview of aeroelasticity studies for the National Aero-Space Plane , 1993 .

[26]  Lei Tang,et al.  Proper orthogonal decomposition and response surface method for TPS/RLV structural Design and optimization: X-34 case study , 2005 .

[27]  Steven Walker,et al.  Falcon Hypersonic Technology Overview , 2005 .

[28]  Earl H. Dowell,et al.  Modeling of Fluid-Structure Interaction , 2001 .

[29]  Jack J. McNamara,et al.  Impact of Fluid-Thermal-Structural Coupling on Response Prediction of Hypersonic Skin Panels , 2011 .

[30]  Christopher L. Rumsey,et al.  Assessment of two-equation turbulence models for transonic flows , 1994 .

[31]  John P. Rodgers,et al.  Aerothermoelastic Analysis of a NASP-Like Vertical Fin , 1992 .

[32]  Juan J. Alonso,et al.  Comparison of Approximation Models with Merit Functions for Design Optimization , 2000 .

[33]  John Cornelius Houbolt,et al.  A Study of several aerothermoelastic problems of aircraft structures in high-speed flight , 1958 .

[34]  V. V. Bolotin,et al.  Nonconservative problems of the theory of elastic stability , 1963 .

[35]  J. Hedgepeth,et al.  Flutter of Rectangular Simply Supported Panels at High Supersonic Speeds , 1957 .

[36]  I. E. Garrick,et al.  A SURVEY OF AEROTHERMOELASTICITY , 1963 .

[37]  Joseph Hilsenrath,et al.  Tables of thermal properties of gases : comprising tables of thermodynamic and transport properties of air, argon, carbon dioxide, carbon monoxide, hydrogen, nitrogen, oxygen, and steam , 2019 .

[38]  M. Ganapathi,et al.  Supersonic flutter characteristics of functionally graded flat panels including thermal effects , 2006 .

[39]  P. Marzocca,et al.  A Review of Nonlinear Aero-Thermo-Elasticity of Functionally Graded Panels , 2011 .

[40]  R. Ibrahim,et al.  Nonlinear flutter of orthotropic composite panel under aerodynamic heating , 1992 .

[41]  David B. Doman,et al.  Nonlinear Longitudinal Dynamical Model of an Air-Breathing Hypersonic Vehicle , 2007 .

[42]  Earl H. Dowell,et al.  Comparison of theory and experiment for nonlinear flutter of loaded plates , 1970 .

[43]  Peretz P. Friedmann,et al.  Aeroelastic and Aerothermoelastic Analysis in Hypersonic Flow: Past, Present, and Future , 2011 .

[44]  Peter K. Shih,et al.  Thermostructural concepts for hypervelocity vehicles , 1991 .

[45]  Anthony S. Pototzky,et al.  Impact of aeroelasticity on propulsion and longitudinal flight dynamics of an air-breathing hypersonic vehicle , 1993 .

[46]  Scott A. Berry,et al.  X-33 hypersonic boundary layer transition , 1999 .

[47]  Y. C. Fung,et al.  On Two-Dimensional Panel Flutter , 1958 .

[48]  Liviu Librescu,et al.  Supersonic/Hypersonic Flutter and Postflutter of Geometrically Imperfect Circular Cylindrical Panels , 2002 .

[49]  Chuh Mei,et al.  Finite Element Nonlinear Flutter and Fatigue Life of Two-Dimensional Panels with Temperature Effects , 1993 .

[50]  Fred R. Dejarnette,et al.  A review of some approximate methods used in aerodynamic heating analyses , 1985 .

[51]  Chuh Mei,et al.  Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds , 1999 .

[52]  J. Anderson,et al.  Modern Compressible Flow: With Historical Perspective , 1982 .

[53]  Xiaoting Rui,et al.  A parametric study on supersonic/hypersonic flutter behavior of aero-thermo-elastic geometrically imperfect curved skin panel , 2011 .

[54]  John Dugundji,et al.  Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation , 1971 .

[55]  Peretz P. Friedmann,et al.  Aeroelastic and Aerothermoelastic Behavior in Hypersonic Flow , 2008 .

[56]  Earl A. Thornton,et al.  Thermal Structures for Aerospace Applications , 1996 .

[57]  Richard R. Kazmar.  Airbreathing Hypersonic Propulsion at Pratt & Whitney - Overview , 2005 .

[58]  Charbel Farhat,et al.  Partitioned analysis of coupled mechanical systems , 2001 .

[59]  K. Zaman,et al.  Nonlinear oscillations of a fluttering plate. , 1966 .

[60]  J. A. Bailie,et al.  Panel flutter in hypersonic flow. , 1967 .

[61]  In Lee,et al.  AEROTHERMOELASTIC PHENOMENA OF AEROSPACE AND COMPOSITE STRUCTURES , 2003 .

[62]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[63]  Jack J. McNamara,et al.  Aeroelastic and Aerothermoelastic Analysis of Hypersonic Vehicles: Current Status and Future Trends , 2007 .

[64]  Xiaolin Zhong,et al.  Hypersonic flutter of a curved shallow panel with aerodynamic heating , 1993 .

[65]  L. R. Hunt,et al.  Loading and heating of a large flat plate at Mach 7 in the Langley 8-foot high-temperature structures tunnel , 1973 .

[66]  Liviu Librescu,et al.  Linear/Nonlinear Supersonic Panel Flutter in a High-Temperature Field , 2004 .

[67]  Jack J. McNamara,et al.  The impact of flow induced loads on snap-through behavior of acoustically excited, thermally buckled panels , 2011 .

[68]  Baris Fidan,et al.  Flight Dynamics and Control of Air-Breathing Hypersonic Vehicles: Review and New Directions , 2003 .

[69]  Dewey H. Hodges,et al.  Introduction to Structural Dynamics and Aeroelasticity: Contents , 2002 .

[70]  Joseph J. Hollkamp,et al.  On the Use of Reduced-Order Models for a Shallow Curved Beam Under Combined Loading , 2008 .

[71]  Robert C. Scott,et al.  A method of predicting quasi-steady aerodynamics for flutter analysis of high speed vehicles using steady CFD calculations , 1993 .

[72]  Farrokh Mistree,et al.  Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization , 2001 .

[73]  David E. Myers,et al.  Parametric Weight Comparison of Advanced Metallic, Ceramic Tile, and Ceramic Blanket Thermal Protect , 2000 .

[74]  In-Won Lee,et al.  Non-Linear Transient Response of Fluttering Stiffened Composite Plates Subject to Thermal Load , 2001 .

[75]  L. R. Hunt,et al.  Aerothermal tests of spherical dome protuberances on a flat plate at a Mach number of 6.5 , 1986 .

[76]  Layne T. Watson,et al.  Multidisciplinary Design Optimization , 2009, Encyclopedia of Optimization.

[77]  David J. Kinney,et al.  Predicted Convective and Radiative Aerothermodynamic Environments for Various Reentry Vehicles Using CBAERO , 2006 .

[78]  Chuh Mei,et al.  Large-amplitude finite element flutter analysis of composite panels in hypersonic flow , 1992 .

[79]  Randolph A. Graves,et al.  Comparison of Turbulent Prediction Methods with Ground and Flight Test Heating Data , 1977 .

[80]  Eric L. Blades,et al.  AEROELASTIC ANALYSIS OF THE X-34 LAUNCH VEHICLE , 1999 .

[81]  Peretz P. Friedmann,et al.  Modeling approaches to hypersonic aerothermoelasticity with application to reusable launch vehicles , 2003 .

[82]  Earl A. Thornton,et al.  Coupled flow, thermal, and structural analysis of aerodynamically heated panels , 1986 .

[83]  Fred R. Dejarnette,et al.  An engineering aerodynamic heating method for hypersonic flow , 1992 .

[84]  J Riley Christopher,et al.  An Engineering Aerodynamic Heating Method For Hypersonic Flow , 1992 .

[85]  Michael G. Gilbert,et al.  Active Control of Aerothermoelastic Effects for a Conceptual Hypersonic Aircraft , 1990 .

[86]  Philippe H. Geubelle,et al.  Development and validation of a first principles fluid-thermal multi-physics solver for hypersonic boundary layer heat transfer problems , 2011 .

[87]  Yiu-Yin Lee,et al.  Flow Angle, Temperature, and Aerodynamic Damping on Supersonic Panel Flutter Stability Boundary , 2003 .

[88]  Jack J. McNamara,et al.  Aeroelastic and aerothermoelastic behavior of two and three dimensional lifting surfaces in hypersonic flow. , 2005 .

[89]  Ramana V. Grandhi,et al.  Thermal-Structural Analysis of Engine Exhaust-Washed Structures , 2010 .

[90]  Peretz P. Friedmann,et al.  Hypersonic panel flutter studies on curved panels , 1995 .

[91]  David Y. Xue,et al.  Finite element nonlinear panel flutter with arbitrary temperatures in supersonic flow , 1992 .

[92]  Timothy Wadhams,et al.  A Computational Analysis of Ground Test Studies of the HIFiRE-1 Transition Experiment , 2008 .

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

[94]  Peretz P. Friedmann,et al.  Aeroelastic analysis of hypersonic vehicles , 2004 .

[95]  Stanley R. Cole,et al.  Supersonic aeroelastic instability results for a NASP-like wing model , 1993 .

[96]  N. Mansour,et al.  Fundamental Aeronautics Hypersonics Project: Overview , 2007 .

[97]  Mohammad Tawfik,et al.  Thermal Buckling and Nonlinear Flutter Behavior of Functionally Graded Material Panels , 2007 .

[98]  Fred DeJarnette,et al.  Approximate method for calculating heating rates on three-dimensional vehicles , 1994 .

[99]  Earl A. Thornton,et al.  Thermal Structures Problems: Plates , 1996 .

[100]  Douglas J. Dolvin,et al.  Hypersonic International Flight Research and Experimentation (HIFiRE) Fundamental Sciences and Technology Development Strategy , 2008 .

[101]  S. Mcintosh,et al.  Effect of Hypersonic Nonlinear Aerodynamic Loading on Panel Flutter , 1972 .

[102]  Scott A. Berry,et al.  X-33 Hypersonic Boundary Layer Transition , 1999 .

[103]  J. Anderson,et al.  Hypersonic and High-Temperature Gas Dynamics , 2019 .

[104]  E. Dowell.  Panel flutter - A review of the aeroelastic stability of plates and shells , 1970 .

[105]  Dean Kontinos,et al.  Coupled Thermal Analysis Method with Application to Metallic Thermal Protection Panels , 1997 .

[106]  Earl A. Thornton,et al.  Flow-thermal-structural study of aerodynamically heated leading edges , 1988 .

[107]  Krishnan Mahesh,et al.  Modeling the effect of shock unsteadiness in shock/ turbulent boundary-layer interactions , 2005 .

[108]  William L. Kleb,et al.  Aeroheating Predictions for X-34 Using an Inviscid Boundary-Layer Method , 1999 .

[109]  Bernard Budiansky,et al.  Influence of Aerodynamic Heating on the Effective Torsional Stiffness of Thin Wings , 1956 .

[110]  R. L. Bisplinghoff,et al.  Some Structural and Aeroelastic Considerations of High-Speed Flight The Nineteenth Wright Brothers Lecture , 1956 .

[111]  Peretz P. Friedmann,et al.  Aeroelasticity of a Generic Hypersonic Vehicle , 2002 .

[112]  Robert V. Doggett,et al.  Structural dynamic and aeroelastic considerations for hypersonic vehicles , 1991 .

[113]  Thomas A. Zeiler,et al.  A flutter investigation of all-moveable NASP-like wings at hypersonic speeds , 1993 .

[114]  K. Sutton,et al.  Approximate Convective-Heating Equations for Hypersonic Flows , 1981 .

[115]  Thomas J. Santner,et al.  The Design and Analysis of Computer Experiments , 2003, Springer Series in Statistics.

[116]  Carlos E. S. Cesnik,et al.  Reduced-Order Aerothermoelastic Framework for Hypersonic Vehicle Control Simulation , 2010 .

[117]  D. Gee,et al.  Coupled Thermal Model for Nonlinear Panel Flutter , 1999 .

[118]  Kajal Gupta,et al.  CFD-based aeroelastic analysis of the X-43 hypersonic flight vehicle , 2001 .

[119]  B. J. Thuruthimattam,et al.  Fundamental studies in hypersonic aeroelasticity using computational methods. , 2005 .

[120]  H. G. Schaeffer,et al.  Flutter of a flat panel subjected to a nonlinear temperature distribution. , 1965 .

[121]  Chuh Mei,et al.  Finite element method for large-amplitude two-dimensional panel flutter at hypersonic speeds , 1991 .

[122]  Russell M. Cummings,et al.  Fifty years of hypersonics: where we've been, where we're going , 2003 .

[123]  D. G. Liaw.  Nonlinear supersonic flutter of laminated composite plates under thermal loads , 1997 .

[124]  Holt Ashley,et al.  Piston Theory-A New Aerodynamic Tool for the Aeroelastician , 1956 .

[125]  Walter C. Engelund,et al.  Aerothermoelastic analysis of a NASP demonstrator model , 1993 .