The optimal active flutter control of supersonic composite laminated panels is studied using the distributed piezoelectric actuators/sensors pairs. The supersonic piston theory is used to calculate the unsteady aerodynamic pressure, and Hamilton’s principle with the assumed mode method is employed to develop the equation of motion of the structural system. The controllers are designed by the proportional feedback control method and the linear quadratic Gauss (LQG) algorithm. The optimal locations of the actuator/sensor pairs are determined by the genetic algorithm (GA). The aeroelastic properties of the structural system are mainly analyzed using the frequency-domain method. The time-domain responses of the structure are also computed using the Runge–Kutta method. The influences of ply angle on the flutter bound of the laminated panel with different length–width ratios are analyzed. The optimal design for the locations for different numbers of piezoelectric patches used in the proportional feedback control is carried out through the GA. Meanwhile, the control effects using different numbers of actuator/sensor pairs are investigated. The flutter suppression by the LQG algorithm is also carried out. The control effects using the two different controllers are compared. Numerical simulations show that the optimal locations obtained by the GA can increase the critical flutter aerodynamic pressure significantly, and the LQG algorithm is more effective in flutter suppression for supersonic structures than the proportional feedback controller.
BruantIGallimardLNikoukarS (2010) Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithm. Journal of Sound and Vibration329(10): 1615–1635.
2.
CarnahanJJRichardsCM (2008) A modification to filtered-X LMS control for airfoil vibration and flutter suppression. Journal of Vibration and Control14(6): 831–848.
3.
ChattopadhyayAKimJSLiuQ (2002) Aeromechanical stability analysis and control of smart composite rotor blades. Journal of Vibration and Control8(6): 847–860.
DaiKYLiuGRLimKM (2004) A mesh-free method for static and free vibration analysis of shear deformation laminated composite plate. Journal of Sound and Vibration269(3): 633–652.
6.
EastepFEMcintoshSCJR (1971) Analysis of nonlinear panel flutter and response under random excitation or nonlinear aerodynamic loading. AIAA Journal9(3): 411–418.
7.
FakhariVOhadiA (2010) Nonlinear vibration control of functionally graded plate with piezoelectric layers in thermal environment. Journal of Vibration and Control17(3): 449–469.
8.
FarhadiSHashemiSHH (2011) Active vibration suppression of moderately thick rectangular plates. Journal of Vibration and Control17(3): 2040– 2049.
GaoJXLiaoWH (2005) Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments. Journal of Sound and Vibration280(1): 329–357.
11.
HanJHTaniJQiuJ (2006) Active flutter suppression of a lifting surface using piezoelectric actuation and modern control theory. Journal of Sound and Vibration291(3): 706–722.
12.
IbrahimHHTawfikM (2010) Limit-cycle oscillations of functionally graded material plates subject to aerodynamic and thermal loads. Journal of Vibration and Control16(14): 2147– 2166.
13.
IbrahimHHTawfikMNegmHM (2010) Thermal buckling and nonlinear flutter behavior of shape memory alloy hybrid composite plates. Journal of Vibration and Control17(3): 321– 333.
14.
KimHWKimJH (2005) Effect of piezoelectric damping layers on the dynamic stability of plate under a thrust. Journal of Sound and Vibration284(3): 597–612.
15.
KooKNHwangWS (2004) Effects of hysteretic and aerodynamic damping on supersonic panel flutter of composite plates. Journal of Sound and Vibration273(3): 569–583.
16.
KouchakzadehMARasekhMHaddadpourH (2010) Panel flutter analysis of general laminated composite plates. Composite Structures92(12): 2906–2915.
17.
LeeYSVakakisAFBergmanLA (2007) Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1: Theory. AIAA Journal45(3): 693–711.
LiFMKishimotoKHuangWH (2009) The calculations of natural frequencies and forced vibration responses of conical shell using the Rayleigh-Ritz method. Mechanics Research Communications36(5): 595–602.
20.
LiQMeiCHuangJK (2007) Suppression of thermal postbuckling and nonlinear panel flutter motions using piezoelectric actuators. AIAA Journal45(8): 1861–1873.
21.
MatsumotoMMastsumiyaHFujiwara (2010) New consideration on flutter properties based on step-by-step analysis. Journal of Wind Engineering and Industrial Aerodynamics98(8): 429–437.
MukherjeeAJoshiSPGanguliA (2002) Active vibration control of piezolaminated stiffened plates. Composite Structures55(4): 435–443.
24.
MuratGEsrefE (2008) Optimal actuator and sensor placement in flexible structures using closed-loop criteria. Journal of Sound and Vibration312(1): 210–233.
25.
NaSSLibrescuLKimMH (2006) Robust aeroelastic control of flapped wing systems using a sliding mode observer. Aerospace Science and Technology10(2): 120–126.
26.
OhIKKimDH (2009) Vibration characteristics and supersonic flutter of cylindrical composite panels with large thermoelastic deflections. Composite Structures90(2): 208–216.
27.
OhIKLeeI (2006) Supersonic flutter suppression of piezolaminated cylindrical panels based on multifield layerwise theory. Journal of Sound and Vibration291(3): 1186–1201.
28.
OnawolaOOSinhaSC (2011) A feedback linearization approach for panel flutter suppression with piezoelectric actuation. Journal of Computational and Nonlinear Dynamics6(3): 031006–031006.
29.
ParkCHBazA (1999) Vibration control of bending modes of plates using active constrained layer damping. Journal of Sound and Vibration227(4): 711–734.
30.
PengFAlfredNGHuYR (2005) Actuator placement optimization and adaptive vibration control of plate smart structures. Journal of Intelligent Material Systems and Structures16(3): 263–271.
31.
PrakashTGanapathiM (2006) Supersonic flutter characteristics of functionally graded flat panels including thermal effects. Composite Structures72(1): 10–18.
32.
RajaSPashilkarAASreedeepR (2006) Flutter control of a composite plate with piezoelectric multilayered actuators. Aerospace Science and Technology10(5): 435–441.
33.
RameshKKNarayananS (2007) The optimal location of piezoelectric actuators and sensors for vibration control of plates. Smart Material and Structures16(6): 2680–2691.
34.
RameshKKNarayananS (2008) Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs. Smart Material and Structures17(5): 055008–055008.
35.
RaoVMBehalAMarzoccaP (2006) Adaptive aeroelastic vibration suppression of a supersonic airfoil with flap. Aerospace Science and Technology10(4): 309–315.
36.
RayMCBatraRC (2007) Vertically reinforced 1-3 piezoelectric composites for active damping of functionally graded plates. AIAA Journal45(7): 1779–1783.
37.
RayMCPradhanAK (2006) The performance of vertically reinforced 1-3 piezoelectric composites in active damping of smart structures. Smart Material and Structures15(2): 631–641.
38.
ReddyJN (1999) On laminated composite plates with integrated sensors and actuators. Engineering Structures21(7): 568–593.
39.
ReddyKKChenJBehalA (2007) Multi-input/multi-output adaptive output feedback control design for aeroelastic vibration suppression. Journal of Guidance Control and Dynamics30(4): 1040–1048.
40.
ShinWHOhIKHanJH (2006) Aeroelastic characteristics of cylindrical hybrid composite panels with viscoelastic damping treatments. Journal of Sound and Vibration296(1): 99–116.
41.
ShinWHOhIKLeeI (2009) Nonlinear flutter of aerothermally buckled composite shells with damping treatments. Journal of Sound and Vibration324(3): 556–569.
42.
SongZGLiFM (2011) Active aeroelastic flutter analysis and vibration control of supersonic beams using the piezoelectric actuator/sensor pairs. Smart Material and Structures20(5): 055013–055013.
43.
SongZGLiFM (2012) Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate. Composite Structures94(2): 702–713.
44.
TrindadeMA (2010) Experimental analysis of active passive vibration control using viscoelastic materials and extension and shear piezoelectric actuators. Journal of Vibration and Control17(6): 917– 929.
45.
WhitneyJM (1987) Structural Analysis of Laminated Anisotropic Plate. Lancaster, PA: Technomic Publishing Company Inc.
46.
ZhouRCXueDYMeiC (1994) Finite element time domain-modal formulation for nonlinear flutter of composite panels. AIAA Journal32(10): 2044–2052.
