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Original Articles

Piezo Control of Free Vibrations of Damped Beams with Time Delay in the Sensor Feedback

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Pages 345-355 | Received 25 Dec 2007, Accepted 29 Apr 2009, Published online: 19 Jun 2009

REFERENCES

  • Liao , J.-J. , Wang , A.-P. , Ho , C.-M. and Hwang , Y. D. 2002 . A Robust Control of a Dynamic Beam Structure with Time Delay Effect . J. Sound Vib. , vol. 252 ( 5 ) : 835 – 847 .
  • Basin , M. , Rodriguez-Gonzalez , J. and Martinez-Zuniga , R. 2004 . Optimal Control for Linear Systems with Time Delay in Control Input . J. Franklin I , vol. 341 ( 3 ) : 267 – 278 .
  • Elbeyli , O. and Sun , J. Q. 2004 . On the Semi-Discretization Method for Feedback Control Design of Linear Systems with Time Delay . J. Sound Vib. , vol. 273 ( 1–2 ) : 429 – 440 .
  • Bianco , S. A. , Sadek , I. S. and Kambule , M. T. 1998 . Optimal Control of a Class of Time-Delayed Distributed Systems by Orthogonal Functions . J. Franklin I , vol. 335 ( 8 ) : 1477 – 1492 .
  • Hu , H. Y. and Wang , Z. H. 1998 . Stability Analysis of Damped Sdof Systems with Two Time-Delays in State Feedback . J. Sound Vib. , vol. 214 : 213 – 225 .
  • Hu , H. Y. , Dowell , E. H. , Virgin , L. N. and Stability , L. N. 1998 . Estimation of High Dimensional Vibrating Systems under State Delayed Feedback Control . J. Sound Vib. , vol. 214 : 497 – 511 .
  • Maccari , A. 2001 . The Response of a Parametrically Excited van der Pol Oscillator to a Time Delay State Feedback . Nonlinear Dynam. , vol. 26 : 105 – 119 .
  • Maccari , A. 2003 . Vibration Control for the Primary Resonance of a Cantilever Beam by a Time Delay State Feedback . J. Sound Vib. , vol. 259 ( 2 ) : 241 – 251 .
  • Maccari , A. 2003 . Vibration Control for the Primary Resonance of the van der Pol Oscillator by a Time Delay State Feedback . Int. J. Nonlinear Mech. , vol. 38 : 123 – 131 .
  • Cai , G. and Huang , J. 2003 . Instantaneous Optimal Method for Vibration Control of Linear Sampled-Data Systems with Time Delay in Control . J Sound Vib , vol. 262 : 1057 – 1071 .
  • Farajian , T. S. and Esfandiari , R. S. 2007 . Optimal Time-Delayed Open/Closed-Loop Control of a Damped Beam . J. Franklin I , vol. 344 : 426 – 438 .
  • Ramesh , M. and Narayanan , S. 2001 . Controlling Chaotic Motions in a Two-Dimensional Airfoil using Time-Delayed Feedback . J. Sound Vib. , vol. 239 : 1037 – 1049 .
  • Yuan , Y. , Yu , P. , Librescu , L. and Marzocca , P. . Analysis of a 2-D Supersonic Lifting Surface with Time Delayed Feedback Control, AIAA Paper 2003-1733 . 44th AIAA/ASME/ASCE/ASC Structures, Structural Dynamics, and Materials Conference . April 7–10 2003 , Norfolk, VA, USA.
  • Librescu , L. , Marzocca , P. and Silva , W. A. 2005 . Aeroelasticity of 2-D Lifting Surfaces with Time-Delayed Feedback Control . J. Fluid Struct. , vol. 20 ( 2 ) : 197 – 215 .
  • Sloss , J. M. , Sadek , I. S. , Bruch , J. C. Jr. and Adali , S. 1995 . The Effects of Time Delayed Active Displacement Control on Damped Structures . Contr-Theor. Adv. Tech. , vol. 10 ( 4 ) : 973 – 992 . Part 2
  • Banks , H. T. , Del Rosario , R. C. H. and Tran , H. T. 2002 . Proper Orthogonal Decomposition-Based Control of Transverse Beam Vibrations: Experimental Implementation . IEEE T. Contr. Syst. T. , vol. 10 ( 5 ) : 717 – 726 .
  • Clark , R. L. , Saunders , W. R. and Gibbs , G. P. 1998 . Adaptive Structures: Dynamics and Control , New York : John Wiley and Sons .
  • Lee , Y.-S. , Elliott , S. J. and Gardonio , P. 2003 . Matched Piezoelectric Double Sensor/Actuator Pairs for Beam Motion Control . Smart Mater. Struct. , vol. 12 ( 4 ) : 541 – 548 .
  • Liu , G. R. , Dai , K. Y. and Lim , K. M. 2004 . Static and Vibration Control of Composite Laminates Integrated with Piezoelectric Sensors and Actuators using the Radial Point Interpolation Method . Smart Mater. Struct. , vol. 13 ( 6 ) : 1438 – 1447 .
  • Thakkar , D. and Ganguli , R. 2004 . Helicopter Vibration Reduction in Forward Flight with Induced-Shear Based Piezoceramic Actuation . Smart Mater. Struct. , vol. 13 ( 3 ) : 599 – 608 .
  • Thakkar , D. and Ganguli , R. 2004 . Dynamic Response of Rotating Beams with Piezoceramic Actuation . J. Sound Vibr. , vol. 270 ( 4–5 ) : 729 – 753 .
  • Choi , S.-C. , Park , J.-S. and Kim , J.-H. 2006 . Active Damping of Rotating Composite Thin-Walled Beams using MFC Actuators and PVDF Sensors . Compos Struct , vol. 76 : 362 – 374 .
  • Gardonio , P. and Elliott , S. J. 2005 . Modal Response of a Beam with a Sensor–Actuator Pair for the Implementation of Velocity Feedback Control . J. Sound Vib. , vol. 284 ( 1–2 ) : 1 – 22 .
  • Lin , J.-C. and Nien , M. H. 2005 . Adaptive Control of a Composite Cantilever Beam with Piezoelectric Damping-Modal Actuators/Sensors . Compos. Struct. , vol. 70 ( 2 ) : 170 – 176 .
  • Viswamurthy , S. R. and Ganguli , R. 2006 . Effect of Piezoelectric Hysteresis on Helicopter Vibration Control using Trailing-Edge Flaps . J. Guid. Control Dynam. , vol. 29 ( 5 ) : 1201 – 1209 .
  • Thakkar , D. and Ganguli , R. 2007 . Induced Shear Actuation of Helicopter Rotor Blade for Active Twist Control . Thin Wall Struct. , vol. 45 ( 1 ) : 111 – 121 .
  • Yan , W. , Chen , W. Q. Lim , C. W. 2008 . Application of EMI Technique for Crack Detection in Continuous Beams Adhesively Bonded with Multiple Piezoelectric Patches . Mech. Adv. Mater. Struc. , vol. 15 ( 1 ) : 1 – 11 .
  • Sloss , J. M. , Adali , S. , Sadek , I. S. and Bruch , J. C. Jr. . Piezoelectric Displacement Feedback Control with Time Delay . Proceedings of the SPIE Conference on Mathematics and Control in Smart Structures . Edited by: Varadan , V. V. vol. 3667 , pp. 649 – 656 . Newport Beach, CA
  • Roos , J. , Bruch , J. C. Jr. , Sloss , J. M. , Adali , S. and Sadek , I. S. . Velocity Feedback Control with Time Delay using Piezoelectrics . Proceedings of the SPIE Conference, Smart Structures and Materials 2003: Modeling, Signal Processing, and Control . Edited by: Smith , R. C. vol. 5049 , pp. 233 – 240 . San Diego, CA
  • Smith , R. C. 2005 . Smart Material systems: Model Development , Philadelphia : SIAM .
  • Banks , H. T. , Smith , R. C. and Wang , Y. 1996 . Smart Material Structures: Modeling, Estimation, and Control , Paris/Chichester : Masson/John Wiley .
  • Tzou , H. S. 1993 . Piezoelectric shells , Dordrecht, , The Netherlands : Kluwer Academic Publishers .
  • Banks , H. T. and Inman , D. J. 1991 . On Damping Mechanisms in Beams . ASME Journal of Applied Mechanics , vol. 58 : 716 – 723 .

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