Flutter suppression of an aircraft wing with a flexibly mounted mass using magneto-rheological damper

Abstract

Flutter analysis and suppression of an aircraft wing with a flexibly mounted external store using a magneto-rheological damper are investigated. The wing performs as a cantilever beam and the structural model, which incorporates bending-torsion flexibility, is used. A modified Bouc–Wen model is utilized in order to model the elastic connection between the store and the wing. The modified Peter’s finite-state loading is also considered to simulate the aerodynamic force and moment. The governing equations are obtained via Hamilton’s principle and assumed modes method is subsequently applied to transform the resulting partial differential equations into a set of ordinary differential equations. Numerical simulations are validated against several previously published papers by using a clean Goland wing. In order to control the vertical and rotational vibrations of the store and the wing, a state feedback controller and a compensator with full-order observer are designed. The performance of these controllers is compared together in several situations. Eventually, the performances are treated when disturbance is applied to the system. The results show that magneto-rheological damper’s performance is suitable for controlling the limit cycle oscillations of the wing and external store, in flutter condition.

Keywords

Flutter suppression aircraft wing magneto-rheological damper flexibly mounted mass

Get full access to this article

View all access options for this article.

References

Goland

Buffalo

. The Flutter of a uniform cantilever wing. J Appl Mech 1945; 12: 197–208.

Runyan HL and Sewall JL. Experimental investigation of the effects of concentrated weights on flutter characteristics of a straight cantilever wing. Report for NACA. Report no. TN 1594, National Aeronautics and Space Administration, Washington, 1974.

Goland

Luke

. The flutter of a uniform wing with tip weights. J Appl Mech 1948; 15: 13–20.

Runyan HL and Watkins CE. Flutter of a uniform wing with an arbitrarily placed mass according to a differential-equation analysis and a comparison with experiment. Report for NACA. Report no. TN 1848, National Aeronautics and Space Administration, Washington, 1949.

Housner JM and Stein M. Flutter analysis of swept-wing subsonic aircraft with parameter studies of composite wings. Report for NASA. Report no. TN D-7539, National Aeronautics and Space Administration, Washington, 1974.

Hodges DH and Dowell EH. Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades. Report for NASA. Report no. TN D-7818, National Aeronautics and Space Administration, Washington, 1974.

Lottati

. Aeroelastic stability characteristics of a composite swept wing with tip weight for an unrestrained vehicle. J Aircr 1987; 24: 793–802.

Pourshamsi

Mazidi

Fazelzadeh

. Flutter analysis of an aircraft wing carrying, elastically, an external store. Modares Mech Eng 2015; 15: 49–58.

Fazelzadeh

Marzocca

Mazidi

, et al. Divergence and flutter of shear deformable aircraft swept wings subjected to roll angular velocity. Acta Mech 2010; 212: 151–165.

10.

Mazidi

Fazelzadeh

Marzocca

. Flutter of aircraft wings carrying a powered engine under roll maneuver. J Aircr 2011; 48: 874–883.

11.

Fazelzadeh

Ghasemikaram

Mazidi

. Aeroelastic analysis of unrestrained aircraft wing/stores under roll maneuver. J Acoust Vib 2016; 21: 327–333.

12.

Triplett

. A feasibility study of active wing/store flutter control. J Aircr 1972; 9: 438–444.

13.

Reed WH, Cazier FW and Foughner JT. Passive control of wing/store flutter. Report for NASA. Report no. TM 81865, 1980.

14.

Yang

Zhao

. Wing-store Flutter analysis of an airfoil in incompressible flow. J Aircr 1989; 26: 583–587.

15.

Gade

Prasad

Inman

. Two-dimensional active wing/store flutter suppression using H∞ theory. J Guid Control Dyn 1997; 20: 949–955.

16.

Fazelzadeh

Azadi

. Suppression of nonlinear aeroelastic vibration of a wing/store under gust effects using an adaptive-robust controller. J Vib Control 2017; 23: 1206–1217.

17.

Rabinov

. Magnetic fluid clutch. J AIEE Trans 1948; 67: 1308–1313.

18.

Stanway

Sprston

Stevens

. Non-linear modeling of an electro-rheological vibration damper. J Electrostat 1987; 20: 167–184.

19.

Gamato

Filisko

. High frequency dynamic mechanical study of an aluminosilicate electro-rheological material. J Rheol 1991; 35: 1411–1425.

20.

Spencer

Dyke

Sain

. Phenomenological model for magneto-rheological dampers. J Eng Mech 1996; 123: 230–238.

21.

Sapinski

Filus

. Analysis of parametric models of MR linear. J Theor Appl Mech 2003; 41: 215–240.

22.

Zhu

Luo

Dong

. Semi-active control of wind excited building structures ER/MR dampers. J Probab Eng Mech J 2004; 19: 279–285.

23.

Lau

Liao

. Design and analysis of magneto-rheological dampers for train suspension. Proc IMechE, Part F: J Rail and Rapid Transit 2005, pp. 219: 261–276–219: 261–276.

24.

Choi

Han

. Non-dimensional analysis and design of a magneto-rheological damper. J Sound Vib 2005; 288: 863–874.

25.

Wei L. Vibration control of large scale flexible structures using magneto-rheological dampers. PhD Thesis, University of Massachusetts, USA, 2005.

26.

Cai

Araujo

. Cable vibration control with a TMD-MR damper system experimental exploration. J Struct Eng 2006, pp. 133: 629–637–133: 629–637.

27.

Karkoub

Zribi

. Active/semi-active suspension control using magneto-rheological actuators. J Syst Sci 2006; 37: 35–44.

28.

Pranoto

Nagaya

Hosoda

. Vibration suppression of plate using linear MR fluid passive damper. J Sound Vib 2007; 276: 919–932.

29.

Murray RM. Optimization-based control. Report for Control and Dynamical Systems. Report no. DRAFT v2.1a, California Institute of Technology, California, 2010.

30.

Rui

Zho

. Semi-active vibration control using a magneto-rheological damper and a magneto-rheological elastomer based on the Bouc–Wen model. J Shock Vib 2014; 2014: 1–10.

31.

Kazakov

Morozov

Nesterov

. Development of models of magneto-rheological fluid damper. J Magn Magn Mater 2017; 431: 269–272.