Reduced-order analysis of aeroelastic systems with freeplay using an augmented modal basis

Journal of Aircraft

Volumn 52, Issue 4, 2015, Pages 1312-1325

  Silva, Gustavo H C ^a,c   Ben Rossetto, Gustavo Dal ^a,c   Dimitriadis, Grigorios ^b,d  

^a EMBRAER S A   (Brazil)

^b UNIVERSITY OF LIÈGE   (Belgium)

^c Technology Development Department   (Brazil)

^d Aerospace and Mechanical Engineering Department Chemin des Chevreuils   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; AEROELASTICITY; AIRCRAFT; AIRCRAFT CONTROL; LINEARIZATION; NONLINEAR ANALYSIS; PIECEWISE LINEAR TECHNIQUES;

AEROELASTIC INSTABILITIES; AEROELASTIC PHENOMENON; CERTIFICATION AUTHORITIES; EQUIVALENT LINEARIZATION; INDISPENSABLE TOOLS; INDUSTRIAL STANDARDS; REDUCED ORDER MODELS; REDUCED-ORDER ANALYSIS;

CONTROL SURFACES;

EID: 84945941821     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.C032912     Document Type: Conference Paper

References (37)

1. "Policy for Certification and Continued Airworthiness of Unbalanced and Mass-Balanced Control Surfaces, " Federal Aviation Administration Policy Memorandum ANM-05-115-019, Washington, D.C., 2007.
2. Brase, L. O., and Eversman, W., "Application of Transient Aerodynamics to the Structural Nonlinear Flutter Problem, " Journal of Aircraft, Vol. 25, No. 11, 1988, pp. 1060-1068. doi:10.2514/3.45703
3. Hauenstein, A. J., Zara, J. A., Eversman, W., and Qumei, K., "Chaotic and Nonlinear Dynamic Response of Aerosurfaces with Structural Nonlinearities, " 33rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 1992-2547, May 1992.
4. Price, S. J., Lee, B. H. K., and Alighanbari, H., "Poststability Behavior of aTwo-Dimensional Airfoil with a StructuralNonlinearity, " Journal of Aircraft, Vol. 31, No. 6, Nov. 1994, pp. 1395-1401. doi:10.2514/3.46664
5. Conner, M. D., Tang, D. M., Dowell, E. H., and Virgin, L., "Nonlinear Behavior of a Typical Airfoil Section with Control Surface Freeplay: A Numerical and Experimental Study, " Journal of Fluids and Structures, Vol. 11, No. 1, Jan. 1997, pp. 89-109. doi:10.1006/jfls.1996.0068
6. Kholodar, D. B., and Dowell, E. H., "Behavior of Airfoil with Control Surface Freeplay for Nonzero Angles of Attack, " AIAA Journal, Vol. 37, No. 5, May 1999, pp. 651-653. doi:10.2514/2.766
7. Virgin, L. N, Dowell, E. H., and Conner, M. D., "On the Evolution of Deterministic Non-Periodic Behavior of an Airfoil, " International Journal of Non-Linear Mechanics, Vol. 34, No. 3, 1999, pp. 499-514. doi:10.1016/S0020-7462(98)00038-9
8. Yang, Z. C, and Zhao, L. C, "Analysis of Limit Cycle Flutter of an Airfoil in Incompressible Flow, " Journal of Sound and Vibration, Vol. 123, No. 1, May 1988, pp. 1-13. doi:10.1016/S0022-460X(88)80073-7
9. Gordon, J. T, Meyer, E. E., and Minogue, R. L., "Nonlinear Stability Analysis of Control Surface Flutter with Free-Play Effects, " Journal of Aircraft, Vol. 45, No. 6, Nov. 2008, pp. 1904-1916. doi:10.2514/1.31901
10. Lee, B. H. K., Price, S. J., and Wong, Y. S., "Nonlinear Aeroelastic Analysis of Airfoils: Bifurcation and Chaos, " Progress in Aerospace Sciences, Vol. 35, No. 3, 1999, pp. 205-334. doi:10.1016/S0376-0421(98)00015-3
11. Kryloff, N, and Bogoliuboff, N, Introduction to Nonlinear Mechanics, Princeton Univ. Press, Princeton, NJ, 1947, pp. 8-28.
12. Tang, D., Dowell, E. H., and Virgin, L. N, "Limit Cycle Behavior of an Airfoil with a Control Surface, " Journal of Fluids and Structures, Vol. 12, No. 7, Oct. 1998, pp. 839-858. doi:10.1006/jfls.1998.0174
13. Liu, L., and Dowell, E. H., "Harmonic Balance Approach for an Airfoil with a Freeplay Control Surface, " AIAA Journal, Vol. 43, No. 4, April 2005, pp. 802-815. doi:10.2514/1.10973
14. Alighanbari, H., and Price, S. J., "The Post-Hopf-Bifurcation Response of an Airfoil in Incompressible Two-Dimensional Flow, " Nonlinear Dynamics, Vol. 10, No. 4, 1996, pp. 381-400. doi:10.1007/BF00045483
15. Roberts, I., Jones, D., Lieven, N., Bernardo, M. D., and Champneys, A., "Analysis of Piecewise Linear Aeroelastic Systems Using Numerical Continuation, " Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 216, No. 1, 2002, pp. 1-11. doi:10.1243/0954410021533382
16. Liu, L., Wong, Y., andLee, B., "Non-Linear Aeroelastic Analysis Using the Point Transformation Method, Part 1: Freeplay Model, " Journal of Sound and Vibration, Vol. 253, No. 2, 2002, pp. 447-469. doi:10.1006/jsvi.2001.4064
17. Jones, D. P., Roberts, I., and Gaitonde, A. L., "Identification of Limit Cycles For Piecewise Nonlinear Aeroelastic Systems, " Journal of Fluids and Structures, Vol. 23, No. 7, Oct. 2007, pp. 1012-1028. doi:10.1016/j.jfluidstructs.2007.03.007
18. Dimitriadis, G., "Shooting-Based Complete Bifurcation Prediction for Aeroelastic Systems with Freeplay, " Journal of Aircraft, Vol. 48, No. 6, Nov. 2011, pp. 1864-1877. doi:10.2514/1.C031139
19. Henshaw, M., Badcock, K., Vio, G., Allen, C, Chamberlain, J., Kaynes, I., Dimitriadis, G., Cooper, J., Woodgate, M., Rampurawala, A., Jones, D., Fenwick, C, Gaitonde, A., Taylor, N., Amor, D., Eccles, T, and Denley, C, "Non-Linear Aeroelastic Prediction for Aircraft Applications, " Progress in Aerospace Sciences, Vol. 43, Nos. 4-6, 2007, pp. 65-137. doi:10.1016/j.paerosci.2007.05.002
20. Anderson, W., and Mortara, S., "Maximum Control Surface Freeplay, Design and Flight Testing Approach on the F-22, " 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2007-1767, April 2007.
21. Dimitriadis, G., "Continuation of Higher Order Harmonic Balance Solutions for Nonlinear Aeroelastic Systems, " Journal of Aircraft, Vol. 45, No. 2, March 2008, pp. 523-537. doi:10.2514/1.30472
22. Dimitriadis, G., "Bifurcation Analysis of Aircraft with Structural Nonlinearity and Freeplay Using Numerical Continuation, " Journal of Aircraft, Vol. 45, No. 3, May 2008, pp. 805-893. doi:10.2514/1.28759
23. Banavara, N. K., and Newsom, J. R., "Framework for Aeroservoelastic Analyses Involving Nonlinear Actuators, " Journal of Aircraft, Vol. 49, No. 3, May 2012, pp. 774-780. doi:10.2514/1.C031246
24. Zentner, I., and Poirion, F, "Non-Smooth Modeling of Control Surfaces Featuring a Freeplay Nonlinearity in Aeroelasticity, " 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2007-2107, April 2007.
25. Gold, P., and Karpel, M., "Reduced-Size Aeroservoelastic Modeling and Limit-Cycle-Oscillation Simulations with Structurally Nonlinear Actuators, " Journal of Aircraft, Vol. 45, No. 2, March 2008, pp. 471-477. doi: 10.2514/1.28933
26. Lozano, F A., Nuñez, P. G.-F, and Climent, H., "Nonlinear Time-Domain Structure/Aerodynamics Coupling in Systems with Concentrated Structural Nonlinearities, " Proceedings of 27th International Congress of the Aeronautical Sciences, International Council of the Aeronautical Sciences Paper 2010-9.9.4, Nice, France, 2010.
27. Smith, T, Hakanson, J., Nair, S., and Yurkovich, R., "State-Space Model Generation for Flexible Aircraft, " Journal of Aircraft, Vol. 41, No. 6, Nov. 2004, pp. 1473-1481. doi:10.2514/1.14433
28. Leine, R. I., and Nijmeijer, H., Dynamics and Bifurcations of Non-Smooth Mechanical Systems, Springer-Verlag, Berlin, 2004, pp. 4-5.
29. ZAERO Theoretical Manual, 21st ed., Zona Technology, Scottsdale, AZ, 2011, Chap. 16-4.
30. Roy, N., and Girard, A., "Impact of Residual Modes in Structural Dynamics, " Proceedings of the European Conference on Spacecraft Structures, Materials and Mechanical Testing, edited by Fletcher, K., ESA SP-581, ESA Publ., Noordwijk, The Netherlands, May 2005.
31. Rose, T, "Using Load-Based Ritz Vectors for Dynamic Analysis of Structures, " 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA Paper 2006-1929, May 2006.
32. Lanczos, C, Applied Analysis, Dover Books on Mathematics, Dover, New York, 1988, pp. 49-70.
33. Rodden, W., and Johnson, E., MSC/NASTRAN Aeroelastic Analysis: User's Guide, Ver. 68, MSC Software, Newport Beach, CA, 1994, pp. 49-70.
34. ZAERO User's Manual, 21st ed., Zona Technology, Scottsdale, AZ, 2011.
35. Oliphant, T E., "Python for Scientific Computing, " Computing in Science and Engineering, Vol. 9, No. 3, 2007, pp. 10-20. doi:10.1109/MCSE.2007.58
36. Reschke, C, and Looye, G., "Comparison of Model Integration Approaches for Flexible Aircraft Flight Dynamics Modelling, " Proceedings of the International Forum on Aeroelasticity and Structural Dynamics, Deutsche Gesellschaft für Luft-und Raumfahrt, Munich, Germany, 2005.
37. di Bernardo, M., Budd, C. J., Champneys, A. R., and Kowalczyk, P., Piecewise-Smooth Dynamical Systems: Theory and Applications, Springer-Verlag, London, 2008.