Abstract
This brings the discussion of nonlinear aeroelasticity up to date. See the earlier discussion in Chap. 11. Much of the recent advances are based on new understanding of such subjects as limit cycle oscillations due to structural non-linearities, including freeplay, and fluid nonlinearities associated with unsteady separated flow including self excited flow oscillations variously called buffet or non-synchronous vibration.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This chapter is based upo a AIAA SDM lecture given in 2010.
- 2.
This section is an abbreviated and revised version of [1]
References
Dowell EH, Edwards JW, Strganac TW (2003) Nonlinear aeroelasticity. J Aircr 40(5):857–874
Dowell EH, Tang DM (2002) Nonlinear aeroelasticity and unsteady aerodynamics. AIAA J 40(9):1697–1707
Dowell EH, Hall KC (2001) Modeling of fluid-structure interaction. Annu Rev Fluid Mech 33:445–490
Lucia DJ, Beran PS, Silva WA (2004) Reduced-order modeling: new approaches for computational physics. Prog Aerosp Sci 40(1–2):51–117
Dowell EH, Clark R, Cox D, Curtiss HC Jr, Edwards JW, Hall KC, Peters DA, Scanlan R, Simiu E, Sisto F, Strganac TW (2004) A modern course in aeroelasticity, 4th edn. Kluwer Academic, Boston
Dowell EH, Tang DM (2003) Dynamics of very high dimensional systems. World Scientific, Singapore (See especially Chaps. 4, 13 and 14)
Hashimoto A, Aoyama T, Nakamura Y (2009) Effects of turbulent boundary layer on panel flutter. AIAA J 47(12):2785–2791
Dowell EH (1973) Aerodynamic boundary layer effects on flutter and damping of plates. J Aircr 10(12):734–738
Muhlstein L, Gaspers P, Riddle D (1968) An experimental study of the influence of the turbulent boundary layer on panel flutter. NASA TN D4486
Dugundji J, Dowell E, Perkin B (1963) Subsonic flutter of panels on a continuous elastic foundation. AIAA J 1(5):1146–1154
Dowell EH (1975) Aeroelasticity of plates and shells. Kluwer Academic Publishers, Dordrecht (See Appendix II)
Tang DM, Yamamoto H, Dowell EH (2003) Flutter and limit cycle oscillations of twodimensional panels in a three- dimensional axial flow. J Fluids Struct 17:225–242
Tang L, Paidoussis M, Jiang J (2009) Cantilevered flexible plates in axial flow: energy transfer and the concept of a Flutter-Mill. J Sound Vib 326:263–276
Hoffman NR (1955) Subsonic flutter model tests of an all-movable stabilizer with 35 degree sweepback. WADC Tech Note 55-623
Tang D, Dowell EH, Virgin LN (1998) Limit cycle behavior of an airfoil with a control surface. J Fluids Struct 12(7):839–858
Tang D, Dowell EH (2010) Aeroelastic airfoil with freeplay at angle of attack with gust excitation. AIAA J 48(2):427–442
Lee D, Chen P, Tang D, Dowell E (2010) Nonlinear gust response of a control surface with freeplay. AIAA 2010-3116, presented at the 51st AIAA SDM conference, Orlando
Schlomach C (2009) All-moveable control surface freeplay. NASA Langley Research Center, Hampton (Presentation to the Aerospace Flutter and Dynamics Council)
Lieu T, Farhat C, Lesoinne A (2006) Reduced-order fluid/structure modeling of a complete aircraft configuration. Comput Methods Appl Mech Eng 195(41–43):5730–5742
Lieu T, Farhat C (2007) Adaptation of aeroelastic reduced-order models and application to an F-16 configuration. AIAA J 45(6):1244–1257
Amsallem D, Farhat C (2008) Interpolation method for adapting reduced-order models and application to aeroelasticity. AIAA J 46(7):1803–1813
Romanowski MC (1996) Reduced order unsteady aerodynamic and aeroelastic models using kahunen-loeve eigenmodes [pod modes], AIAA paper 96-3981, presented at the AIAA/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Bellevue, Washington
Hall KC, Thomas JP, Dowell EH (2000) Proper orthogonal decomposition technique for transonic unsteady aerodynamic flows. AIAA J 38(10):1853–1862
Thomas JP, Dowell EH, Hall KC (2003) Three-dimensional aeroelasticity using proper orthogonal decomposition based reduced order models. J Aircr 40(3):544–551
Dowell EH, Thomas JP, Hall KC (2004) Transonic limit cycle oscillation analysis using reduced order models. J Fluids Struct 19(1):17–27
Beran PS, Lucia DJ (2004) Reduced-order modeling of limit-cycle oscillation for aeroelastic systems. J Fluids Struct 19(5):575–590
Lucia DJ, Beran PS (2004) Reduced-order model development using proper orthogonal decomposition and Volterra theory. AIAA J 42(6):1181–1190
Mortara SA, Slater J, Beran P (2004) Analysis of nonlinear aeroelastic panel response using proper orthogonal decomposition. J Vib Acoust 126(3):416–421
Anttonen JSR, King PI, Beran PS (2005) Applications of multi-POD to a pitching and plunging airfoil. Math Comput Model 42(3–4):245–259
McMullen M, Jameson A (2006) The computational efficiency of non-linear frequency domain methods. J Comput Phys 212(2):637–661
McMullen M, Jameson A, Alonzo J (2006) Demonstration of nonlinear frequency domain methods. AIAA J 44(7):1428–1435
Timme S, Badcock K (2009) Implicit harmonic balance solver for transonic flow with forced motions. AIAA J 47(4):893–901
Hall KC, Thomas JP, Clark WS (2002) Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA J 40(5):879–886
Thomas JP, Dowell EH, Hall KC (2004) Modeling viscous transonic limit cycle oscillations behavior using a harmonic balance approach. J Aircr 41(6):1266–1274
Beran PS, Lucia DJ (2005) A reduced order cyclic method for computation of limit cycles. Nonlinear Dyn 39(1–2):143–158
Liu L, Thomas JP, Dowell EH, Attar PJ, Hall KC (2006) A comparison of classical and high dimensional harmonic balance approaches for a duffing oscillator. J Comput Phys 215(1):298–320
Dowell EH, Hall KC, Thomas JP, Kielb RE, Spiker MA, Denegri Jr CM (2007) A new solution method for unsteady flows around oscillating bluff bodies. In: Proceedings of the IUTAM symposium on fluid-structure interaction in ocean engineering, Springer
Custer CH, Thomas JP, Dowell EH, Hall KC (2009) A nonlinear harmonic balance method for the CFD code OVERFLOW 2. In: International forum on aeroelasticity and structural dynamics, Seattle, paper 2009-050
Thomas JP, Custer CH, Dowell EH, Hall KC (2009) Unsteady flow computations using a harmonic balance approach implemented about the OVERFLOW 2 flow solver. In: 19th AIAA computational fluid dynamics conference, San Antonio, paper 2009-4270
Thomas JP, Dowell EH, Hall KC (2010) Using automatic differentiation to create nonlinear reduced order model aerodynamic solver. AIAA J 48(1):19–24
Thompson JMT, Stewart HB (1988) Nonlinear dynamics and chaos. Wiley, New York
Denegri CM Jr (1997) Correlation of classical flutter analyses and nonlinear flutter responses characteristics. In: International forum on aeroelasticity and structural dynamics, Rome, pp 141-148
Denegri CM Jr, Cutchins MA (1997) Evaluation of classical flutter analysis for the prediction of limit cycle oscillations. AIAA paper 97-1021
Denegri CM Jr (2000) Limit cycle oscillation flight test results of a fighter with external stores. J Aircr 37(5):761–769
Denegri CM Jr, Johnson MR (2001) Limit cycle oscillation prediction using artificial neural networks. J Guidance Control Dyn 24(5):887–895
(1974) AGARD Specialists meeting on wings-with-stores flutter, 39th meeting of the structures and materials panel, AGARD conference proceedings no 162, Munich
Bunton RW, Denegri CM Jr (2000) Limit cycle oscillation characteristics of fighter aircraft. J Aircr 37(5):916–918
Cunningham AM Jr (1999) A generic nonlinear aeroelastic method with semi-empirical nonlinear unsteady aerodynamics, vol 1 and 2, AFRL-VA-WP-R-1999-3014
Cunningham AM Jr (1998) The role of nonlinear aerodynamics in fluid-structure interactions, AIAA paper 98-2423
Cunningham AM Jr, Geurts EGM (1998) Analysis of limit cycle oscillation/transonic high alpha flow visualization, AFRL-vA-WP-TR-1998-3003, Part I
Dobbs SK, Miller GD, Stevenson JR (1985) Self induced oscillation wind tunnel test of a variable sweep wing, AIAA paper 85-0739-CP presented at 26th AIAA/ASME/ASCE/AHS structures, structural dynamics and materials conference, Orlando, pp 15–17
Hartwich pM, Dobbs SK, Arslan AE, Kim SC (2000) Navier-stokes computations of limit cycle oscillations for a B-1-like configuration, AIAA paper 2000-2338, AIAA Fluids 2000, Denver
Dreim DR, Jacobson SB, Britt RT (1999) Simulation of non-linear transonic aeroelastic behavior on the B-2, NASA CP-1999-209136. CEAS/AIAA/ICASE/NASA Langley international forum on aeroelasticity and structural, Dynamics, pp 511–521
Croft J (2001) Airbus elevator flutter: annoying or dangerous? Aviation week and space technology
Dowell EH (1975) Aeroelasticity of plates and shell. Kluwer Academic, Dordrecht
Dowell EH (1972) Panel flutter. NASA Special Publication, Washington (SP-8004)
Yurkovich RN, Liu DD, Chen PC (2001) The state-of-the-art of unsteady aerodynamics for high performance aircraft, AIAA paper 2001-0428, aerospace sciences conference
Bennett RM, Edwards JW (1998) An overview of recent developments in computational aeroelasticity, AIAA paper no. 98-2421, presented at the AIAA fluid dynamics conference, Albuquerque
Farhat C, Lesoinne M (1998) Enhanced partitioned procedures for solving nonlinear transient aeroelastic problems. AIAA Paper 98-1806
Raveh DE, Levy Y, KarpelM, (2001) Efficient aeroelastic analysis using computational unsteady aerodynamics. J Aircr 38(3):547–556
Thomas JP, Dowell EH, Hall KC (2001) Three-dimensional transonic aeroelasticity using proper orthogonal decomposition based reduced order models, AIAA Paper 2001-1526, presented at 42nd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference and exhibit, Seattle, pp 16-19
Gupta KK (1996) Development of a finite element aeroelastic analysis capability. J Aircr 33(5):995–1002
Scott RC, Silva WA, Florance JR, Keller DF (2010) Measurement of unsteady pressure data on a large HSCT semi-span wing and comparison with analysis, AIAA, pp 2002–1648
Silva WA, Keller DF, Florance JR, Cole SR, Scott RC (2000) Experimental steady and unsteady aerodynamic and flutter results for HSCT semi-span models. In: 41st structures, structural dynamics and materials conference, AIAA, no 2000–1697
Bennett RM, Eckstrom CV, Rivera JA Jr, Danberry BE, Farmer MG, Durham MH (1991) The benchmark aeroelastic models program: description and highlights of initial results, NASA TM 104180
Bennett RM, Scott RC, Wieseman CD (2000) Computational test cases for the benchmark active controls model. J Guidance Control Dyn 23(5):922–929
Kholodar DE, Dowell EH, Thomas JP, Hall KC (2004) Limit-Cycle oscillations of a typical airfoil in transonic flow. J Aircr 41(5):911-917 (AIAA)
Schwarz JB, Dowell EH, Thomas JP, Hall KC, Rausch RD, Bartels RE (2009) Improved flutter boundary prediction for an isolated two degree of freedom airfoil. J Aircr 46(6):2069–2076
Thomas JP, Dowell EH, Hall KC (2009) Theoretical predictions of limit cycle oscillations for flight flutter testing of the f-16 fighter. J Aircr 46(5):1667–1672
Dowell EH, Tang D (2002) Nonlinear aeroelasticity and unsteady aerodynamics. AIAA J 40(9):1697–1707
Gordnier RE, Melville RB (1999) Physical mechanisms for limit-cycle oscillations of a cropped delta wing. AIAA Paper, Norfolk
Gordnier RE, Melville RB (2001) Numerical simulation of limit-cycle oscillations of a cropped delta wing using the full Navier-stokes equations. Int J Comput Fluid Dyn 14(3):211–224
Schairer ET, Hand LA (1997) Measurement of unsteady aeroelastic model deformation by stereo photogrammetry, AIAA Paper 97-2217
Thomas JP, Dowell EH, Hall KC (2002) A harmonic balance approach for modeling threedimensional nonlinear unsteady aerodynamics and aeroelasticity, IMECE-2002-32532. Presented at the ASME international mechanical engineering conference and exposition, New Orleans, Louisiana
Edwards JW (1998) Calculated viscous and scale effects on transonic aeroelasticity, paper no.1 in Numerical unsteady aerodynamic and aeroelastic simulation. AGARD Report 822
Edwards JW, Schuster DM, Spain CV, Keller DF, Moses RW (2001) MAVRIC flutter model transonic limit cycle oscillation test, AIAA p 2001-1291
Edwards JW (1996) Transonic shock oscillations and wing flutter calculated with an interactive boundary layer coupling method, NASA TM-110284
Parker EC, Spain CV, Soistmann DL (1991) Aileron buzz investigated on several generic NASP wing configurations, AIAA Paper 91-0936
Pak C, Baker ML (2001) Control surface buzz analysis of a generic NASP wing, AIAA Paper 2001-1581
Huttsell L, Schuster D, Volk J, Giesing J, Love M (2001) Evaluation of computational aeroelasticity codes for loads and flutter, AIAA Paper 2001-569
Edwards JW (2008) Calculated viscous and scale effects on transonic aeroelasticity. J Aircr 45(6):1863–1871
Barakos G, Drikakis D (2000) Numerical simulation of transonic buffet flows using various turbulence closures. Int J Heat Fluid Flow 21:620–626
Raveh D (2009) A numerical study of an oscillating airfoil in transonic buffeting flows. AIAA J 47(3):505–515
Raveh D, Dowell EH (2009) Aeroelastic response of airfoil in buffeting transonic flows. In: International forum on aeroelasticity and structural dynamics, Seattle, IFASD-2009-161
Raveh D, Dowell EH (2012) Frequency lock-in phenomenon for oscillating airfoils in buffeting flows. Accept Publ J Fluids Struct
McDevitt JB, Okuno AF (1985) Static and dynamic pressure measurements on a NACA 0012 airfoil in the AMES high Reynolds number facility, NASA TP 2485
Kielb R, Barter JT, Hall KC (2003) Blade excitation by aerodynamic instabilities-a compressor blade study, ASME GT-2003-38634, ASME Turbo Expo Conference
Sanders AJ (2005) Nonsynchronous vibration (NSV) due to a flow-induced aerodynamics instability in a composite fan stator. ASME
Spiker M (2008) Development of an efficient design methods for non-synchronous vibrations. Doctoral dissertation. Duke University
Clark S (2013) Design for coupled-mode flutter and non-synchronous vibration in turbomachinery. Doctoral dissertation. Duke University
Besem F (2015) Aeroelastic instabilities due to unsteady aerodynamics. Doctoral dissertation. Duke University
Besem F, Kamrass J, Thomas J, Tang D, Kielb R (2016) Vortex-induced vibration and frequency lock-in of an airfoil at high angles of attack. J Fluids Eng. ASME
Hollenbach, R, Kielb, R, Hall, K (2022) Extending a van der pol based reduced-order model for fluid-structure applied to non-synchronous vibrations in turbomachinery. J Turbomach. pp 1–14
Clark S, Kielb R, Hall K (2013) A Van Der Pol based reduced-order model for nonsynchronous vibration (NSV) in turbomachinery. ASME, Turbo Expo
Williams MH (1979) Linearization of unsteady transonic flows containing shocks. AIAA J 17(4):394–397
Woodgate MA, Badcock KJ (2009) Implicit harmonic balance solver for transonic flow with forced motions. AIAA J 47(4):893–901
Friedmann PO (2004) Rotary-wing aeroelasticity: current status and future trends. AIAA J 42(10):1953–1972
Hall KC, Kielb RE, Thomas JP (eds) (2003) Unsteady aerodynamic, aeroacoustics and aeroelasticity of turbomachines. In: Proceedings of the 10th international symposium held at Duke University. Springer
Attar P, Tang D, Dowell EH (2009) Nonlinear aeroelastic study for folding wing structures, presented at the NATO AVT-168 symposium on morphing structures
Batina J (2005) Introduction of the asp3d computer program for unsteady aerodynamics and aeroelastic analyses, NASA TM-2005-213909
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Dowell, E.H. (2022). Some Recent Advances in Nonlinear Aeroelasticity. In: Dowell, E.H. (eds) A Modern Course in Aeroelasticity. Solid Mechanics and Its Applications, vol 264. Springer, Cham. https://doi.org/10.1007/978-3-030-74236-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-030-74236-2_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-74235-5
Online ISBN: 978-3-030-74236-2
eBook Packages: EngineeringEngineering (R0)