Skip to main content
SpringerLink
Log in

Control and exploitation of nonlinearity in smart structures

  • Chapter
Exploiting Nonlinear Behavior in Structural Dynamics

Part of the book series: CISM Courses and Lectures ((CISM,volume 536))

Abstract

In this Chapter the control and exploitation of nonlinearity are considered when applied to so called ‘smart structures’. Here we consider how active control can be applied to structures particularly in the presence of nonlinearity. We also consider how snap-through structures can potentially be exploited as hinges in morphing applications.

The author would also like to acknowledge the work of Simon Neild, Peter Gawthrop, Jack Potter, Andres Arrieta Diaz, Nihal Malik and Lin Yang, who contributed to the results shown in this chapter. JP and NM were supported for PhD studies by EPSRC studentships; AAD and LY were supported by ORS scholarships.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • K. J. Åström and B. Wittenmark. Adaptive Control. Addison Wesley: Menlo Park, CA, 1995.

    MATH  Google Scholar 

  • M Ahmadian. On the isolation properties of semiactive dampers. Journal of Vibration & Control, 5(2):217–232, MAR 1999. ISSN 1077-5463.

    Article  MathSciNet  Google Scholar 

  • N. A. Alexander and F. Schilder. Exploring the performance of a nonlinear tuned mass damper. Journal of Sound and Vibration, 319(1–2):445–462, JAN 9 2009. ISSN 0022-460X. doi: 10.1016/j.jsv.2008.05.018.

    Article  Google Scholar 

  • O. N. Ashour and A. H. Nayfeh. Adaptive control of flexible structures using a nonlinear vibration absorber. Nonlinear Dynamics, 28(3–4):309–322, MAY 2002. ISSN 0924-090X.

    Article  MATH  Google Scholar 

  • J. S. Bae, T. M. Seigler, and D. J. Inman. Aerodynamic and static aeroelastic characteristics of a variable-span morphing wing. Journal of Aircraft, 42(2):528–534, 2005.

    Article  Google Scholar 

  • A. Bahar, F. Pozo, L. Acho, J. Rodellar, and A. Barbat. Hierarchical semiactive control of base-isolated structures using a new inverse model of magnetorheological dampers. Computers & Structures, 88(7–8):483–496, APR 2010. ISSN 0045-7949. doi: 10.1016/j.compstruc.2010.01.006.

    Article  Google Scholar 

  • D. Baker and M. I. Friswell. Determinate structures for wing camber control. Smart Materials & Structures, 18(3):1–13, MAR 2009. ISSN 0964-1726. doi: 10.1088/0964-1726/18/3/035014.

    Article  Google Scholar 

  • M. J. Balas. Stable feedback control of linear distributed parameter systems: Time and frequency domain conditions. Journal of Mathematical Analysis and Applications, 225(1):144–167, SEP 1 1998. ISSN 0022-247X.

    Article  MathSciNet  MATH  Google Scholar 

  • M. J. Balas. Feedback control of flexible systems. IEEE Transactions on Automatic Control, 23(4):673–679, 1978. ISSN 0018-9286.

    Article  MathSciNet  MATH  Google Scholar 

  • K. A. Bani-Hani and M. A. Sheban. Semi-active neuro-control for baseisolation system using magnetorheological (mr) dampers. Earthquake Engineering & Structural Dynamics, 35(9):1119–1144, July 2006.

    Article  Google Scholar 

  • A. H. Barbat, J. Rodellar, E. P. Ryan, and N. Molinares. Active control of nonlinear base-isolated buildings. Journal of Engineering Mechanics— ASCE, 121(6):676–684, JUN 1995. ISSN 0733-9399.

    Article  Google Scholar 

  • C. F. Beards. Vibration analysis and control system dynamics. Ellis Horwood: Chichester, 1981.

    Google Scholar 

  • F. H. Besinger, D. Cebon, and D. J. Cole. An experimental investigation into the use of semi-active dampers on heavy lorries. Vehicle System Dynamics, 20:57–71, 1992.

    Article  Google Scholar 

  • S Bharti, M Frecker, G Lesieutre, and D Ramrakhyani. Active and passive material optimization in a tendon actuated morphing aircraft structure. In Flatau, AB, editor, Smart Structures and Materials 2004: Smart Structures and Integrated Systems, volume 5390 of (SPIE), pages 247–257, 2004. ISBN 0-8194-5307-2. doi: 10.1117/12.540198. Smart Structures and Materials 2004 Conference, San Diego, CA, MAR 15-18, 2004.

    Google Scholar 

  • D. Bornengo, F. Scarpa, and C. Remillat. Evaluation of hexagonal chiral structure for morphing airfoil concept. Proceedings of the Institution of Mechanical Engineers Part G-Journal of Aerospace Engineering, 219(G3):185–192, JUN 2005. ISSN 0954-4100. doi: 10.1243/095441005x30216.

    Article  Google Scholar 

  • F. Casciati, G. Magonette, and F. Marazzi. Semiactive devices and applications in vibration mitigation. Wiley: Chichester, 2006.

    Book  Google Scholar 

  • G. D. Chen and C. Q. Chen. Semiactive control of the 20-story benchmark building with piezoelectric friction dampers. Journal of Engineering Mechanics—ASCE, 130(4):393–400, APR 2004. ISSN 0733-9399.

    Article  Google Scholar 

  • R. L. Clark, W. R. Saunders, and G. P. Gibbs. Adaptive structures; dynamics and control. John Wiley: New York, 1998.

    Google Scholar 

  • D. J. Cole and D. Cebon. Truck suspension design to minimize road damage. Proceedings of the Institution of Mechanical Engineers Part D—Journal of Automobile Engineering, 210(2):95–107, 1996. ISSN 0954-4070.

    Article  Google Scholar 

  • D. Coutu and P. Brailovski, V. and Terriault. Promising Benefits of an Active-Extrados Morphing Laminar Wing. Journal of Aircraft, 46(2): 730–731, MAR-APR 2009. ISSN 0021-8669. doi: 10.2514/1.40657.

    Google Scholar 

  • S. Daynes, S. J. Nall, P. M. Weaver, K. D. Potter, P. Margaris, and P. H. Mellor. Bistable Composite Flap for an Airfoil. Journal of Aircraft, 47 (1):334–338, JAN-FEB 2010. ISSN 0021-8669. doi: 10.2514/1.45389. AIAA/ASME/ASCE/AHS/ASC 50th Structures, Structural Dynamics and Materials Conference, Palm Springs, CA, MAY 02-07, 2009.

    Article  Google Scholar 

  • B. de Marneffe and A. Preumont. Vibration damping with negative capacitance shunts: theory and experiment. Smart Materials & Structures, 17 (3), JUN 2008. ISSN 0964-1726. doi: 10.1088/0964-1726/17/3/035015.

    Google Scholar 

  • J. P. Den Hartog. Mechanical Vibrations. McGraw-Hill: New York, 1934.

    Google Scholar 

  • A. Deraemaeker, H. Nasser, A. Benjeddou, and A. Preumont. Mixing Rules for the Piezoelectric Properties of Macro Fiber Composites. Journal of Intelligent Material Systems & Structures, 20(12):1475–1482, AUG 2009. ISSN 1045-389X. doi: 10.1177/1045389X09335615.

    Article  Google Scholar 

  • C. G. Diaconu, P. M. Weaver, and F. Mattioni. Concepts for morphing airfoil sections using bi-stable laminated composite structures. Thin-Walled Structures, 46(6):689–701, JUN 2008. ISSN 0263-8231. doi: 10.1016/j.tws.2007.11.002.

    Article  Google Scholar 

  • A. F. Arrieta Diaz, F. Mattioni, S. A. Neild, P. M. Weaver, D. J. Wagg, and K. Potter. Nonlinear dynamics of a bi-stable composite laminate plate with applications to adaptive structures. In M. R. Vetrano and G. Degrez, editors, Proceedings of the Second European Conference for Aerospace Sciences, number 4.03.01, Brussels, July 2007. 2nd European Conference for Aerospace Sciences.

    Google Scholar 

  • I. J. Fialho and G. J. Balas. Design of nonlinear controllers for active vehicle suspensions using parameter-varying control synthesis. Vehicle System Dynamics, 33(5):351–370, 2000. ISSN 0042-3114.

    Article  Google Scholar 

  • M. Fliess, J. L. Lévine, P. Martin, and P. Rouchon. Flatness and defect of non-linear systems: introductory theory and examples. International Journal of Control, 61(6):1327–1361, 1995.

    Article  MathSciNet  MATH  Google Scholar 

  • A. L. Fradkov, I. M. Miroshnik, and V. O. Nikiforov. Nonlinear and adaptive control of complex systems. Kluwer: Dordrecht, 1999.

    MATH  Google Scholar 

  • C. R. Fuller, S. J. Elliot, and P. A. Nelson. Active control of vibration. Academic Press, 1996.

    Google Scholar 

  • F. Gandhi and P. Anusonti-Inthra. Skin design studies for variable camber morphing airfoils. Smart Materials & Strucures, 17(1), FEB 2008. ISSN 0964-1726. doi: 10.1088/0964-1726/17/01/015025.

    Google Scholar 

  • W. K. Gawronski. Advanced Structural Dynamics and Active Control of Structures. Springer-Verlag: New York, 2004.

    Book  Google Scholar 

  • F. H. Gern, D. J. Inman, and R. K. Kapania. Structural and aeroelastic modeling of general planform wings with morphing airfoils. AIAA Journal, 40(4):628–637, APR 2002. ISSN 0001-1452.

    Article  Google Scholar 

  • Apama Ghosh and Biswajit Basu. Seismic vibration control of nonlinear structures using the liquid column damper. Journal of Structural Engineering—ASCE, 134(1):146–153, JAN 2008. ISSN 0733-9445. doi: 10.1061/(ASCE)0733-9445(2008)134:1(146).

    Article  Google Scholar 

  • N Giorgetti, A Bemporad, HE Tseng, and D Hrovat. Hybrid model predictive control application towards optimal semi-active suspension. International Journal of Control, 79(5):521–533,MAY 2006. ISSN 0020-7179. doi: 10.1080/00207170600593901.

    Article  MathSciNet  MATH  Google Scholar 

  • G. C. Goodwin, S. F. Graebe, and M. E. Salgado. Control System Design. Pearson, 2000.

    Google Scholar 

  • S. Harari, C. Richard, and L. Gaudiller. New Semi-active Multi-modal Vibration Control Using Piezoceramic Components. Journal of Intelligent Material Systems & Structures, 20(13):1603–1613, SEP 2009. ISSN 1045-389X. doi: 10.1177/1045389X09102561.

    Article  Google Scholar 

  • K. S. Hong, H. C. Sohn, and J. K. Hedrick. Modified skyhook control of semi-active suspensions: A new model, gain scheduling, and hardware-in-the-loop tuning. Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, 124(1):158–167, March 2002.

    Article  Google Scholar 

  • G. W. Housner, L. A. Bergman, T. K. Caughey, A. G. Chassiakos, R. O. Claus, S. F. Masri, R. E. Skelton, T. T. Soong, B. F. Spencer, and J. T. P. Yao. Structural control: Past, present, and future. Journal of Engineering Mechanics—ASCE, 123(9):897–971, SEP 1997. ISSN 0733-9399.

    Article  Google Scholar 

  • D Hrovat. Survey of advanced suspension developments and related optimal control applications. Automatica, 33(10):1781–1817, OCT 1997. ISSN 0005-1098.

    Article  MathSciNet  MATH  Google Scholar 

  • J. E. Hubbard. Dynamic shape control of a morphing airfoil using spatially distributed transducers. Journal of Guidance Control and Dynamics, 29 (3):612–616, MAY-JUN 2006. ISSN 0731-5090.

    Article  Google Scholar 

  • M. W. Hyer. Stress analysis of fibre-reinforced composite materials. McGraw Hill, 1998.

    Google Scholar 

  • D. J. Inman. Vibration with control. Wiley: Chichester, 2006.

    Book  Google Scholar 

  • D. Inoyama, B. P. Sanders, and J. J. Joo. Topology synthesis of distributed actuation systems for morphing wing structures. Journal of Aircraft, 44 (4):1205–1213, JUL-AUG 2007. ISSN 0021-8669. doi: 10.2514/1.25535. A. Isidori. Nonlinear Control Systems. Springer, 1995.

    Article  Google Scholar 

  • N Jalili. A comparative study and analysis of semi-active vibration-control systems. Journal of Vibration & Acoustics-Transactions of the ASME, 124(4):593–605, OCT 2002. ISSN 1048-9002. doi: 10.1115/1.1500336.

    Article  Google Scholar 

  • D. Karnopp. Active and semiactive vibration isolation. Journal of Mechanical Design, 117(Sp. Iss. B):177–185, JUN 1995. ISSN 1050-0472.

    Article  Google Scholar 

  • K. Kasai, Y. M. Fu, and A. Watanabe. Passive control systems for seismic damage mitigation. Journal of Structural Engineering—ASCE, 124(5): 501–512, MAY 1998. ISSN 0733-9445.

    Article  Google Scholar 

  • A Khajepour and MF Golnaraghi. Experimental control of flexiblestructures using nonlinear modal coupling: Forced and free vibration. Journal of Intelligent Materials Systems & Structures, 8(8):697–710, AUG 1997. ISSN 1045-389X.

    Article  Google Scholar 

  • H. K. Khalil. Nonlinear Systems. Macmillan: New York, 1992.

    MATH  Google Scholar 

  • K. J. Kitching, D. J. Cole, and D. Cebon. Performance of a semi-active damper for heavy vehicles. Journal of Dynamic Systems Measurement & Control—Transactions of the ASME, 122(3):498–506, SEP 2000. ISSN 0022-0434.

    Article  Google Scholar 

  • Miroslav Krstić, Ioannis Kanellakopoulos, and Petar Kokotović. Nonlinear and adaptive control design. John Wiley, 1995.

    Google Scholar 

  • D. Lentink, U. K. Muller, E. J. Stamhuis, R. de Kat, W. van Gestel, L. L. M. Veldhuis, P. Henningsson, A. Hedenstrom, J. J. Videler, and J. L. van Leeuwen. How swifts control their glide performance with morphing wings. Nature, 446(7139):1082–1085, APR 26 2007. ISSN 0028-0836. doi: 10.1038/nature05733.

    Google Scholar 

  • D. J. Leo. Smart material systems. Wiley: New York, 2007.

    Google Scholar 

  • Y Liu, TP Waters, and MJ Brennan. A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances. Journal of Sound & Vibration, 280(1–2):21–39, FEB 7 2005. ISSN 0022-460X. doi: 10.1016/j.jsv.2003.11.048.

    Article  MathSciNet  MATH  Google Scholar 

  • SLDSE Lucato, J Wang, P Maxwell, RM McMeeking, and AG Evans. Design and demonstration of a high authority shape morphing structure. International Journal of Solids & Structures, 41(13):3521–3543, JUN 2004. ISSN 0020-7683.

    Article  MATH  Google Scholar 

  • F. Mattioni, P. M. Weaver, K. Potter, and M. I. Friswell. Multi-stable composites application concept for morphing aircraft. In M. Bernadou, J. Cagnol, and R. Ohayon, editors, Proceedings of the 16th International Conference on Adaptive Structures and Technologies, pages 45–52, 2006. ISBN 978-1-932078-57-2. 16th International Conference on Adaptive Structures and Technologies, Paris, FRANCE, OCT 09-12, 2005.

    Google Scholar 

  • F. Mattioni, P. M. Weaver, K. D. Potter, and M. I. Friswell. Analysis of thermally induced multistable composites. International Journal of Solids & Structures, 45(2):657–675, JAN 15 2008. ISSN 0020-7683. doi: 10.1016/j.ijsolstr.2007.08.031.

    Article  MATH  Google Scholar 

  • Y. V. Mikhlin and S. N. Reshetnikova. Dynamical interaction of an elastic system and a vibro-impact absorber. Mathematical Problems in Engineering, 2006:1–15, 2006. Article ID 37980.

    Article  MathSciNet  Google Scholar 

  • Z. Milovanovic, I. Kovacic, and M. J. Brennan. On the Displacement Transmissibility of a Base Excited Viscously Damped Nonlinear Vibration Isolator. Journal of Vibration and Acoustics-Transactions of the ASME, 131 (5), OCT 2009. ISSN 1048-9002. doi: 10.1115/1.3147140.

    Google Scholar 

  • S. O. R. Moheimani and A. J. Fleming. Piezoelectric transducers for vibration control and damping. Springer-Verlag: London, 2006.

    MATH  Google Scholar 

  • S. O. R. Moheimani and B. J. G. Vautier. Resonant control of structural vibration using charge-driven piezoelectric actuators. IEEE Transactions on Control Systems Technology, 13(6):1021–1035, NOV 2005. ISSN 1063-6536. doi: 10.1109/TCST.2005.857407.

    Article  Google Scholar 

  • S. O. R. Moheimani, D. Halim, and A. J. Fleming. Spatial control of vibration. World Scientific, 2003.

    Google Scholar 

  • J. E. Mottershead and Y. M. Ram. Inverse eigenvalue problems in vibration absorption: Passive modification and active control. Mechanical Systems and Signal Processing, 20(1):5–44, JAN 2006. ISSN 0888-3270. doi: 10.1016/j.ymssp.2005.05.006.

    Article  Google Scholar 

  • S. Nagarajaiah and S. Narasimhan. Seismic control of smart base isolated buildings with new semiactive variable damper. Earthquake Engineering & Structural Dynamics, 36(6):729–749,MAY 2007. ISSN 0098-8847. doi: 10.1002/eqe.650.

    Article  Google Scholar 

  • P. B. Nair and A. J. Keane. Passive vibration suppression of flexible space structures via optimal geometric redesign. AIAA Journal, 39(7):1338–1346, July 2001.

    Article  Google Scholar 

  • H. Nijmeijer and A. van der Schaft. Nonlinear Dynamical Control Systems. Springer-Verlag: New York, 1990.

    Book  MATH  Google Scholar 

  • B. Panda, E. Mychalowycz, and F. J. Tarzanin. Application of passive dampers to modern helicopters. Smart Materials & Structures, 5(5): 509–516, October 1996.

    Article  Google Scholar 

  • K. D. Papoulia and J. M. Kelly. Visco-hyperelastic model for filled rubbers used in vibration isolation. Journal of Engineering Materials and Technology-Transactions of the ASME, 119(3):292–297, July 1997.

    Article  Google Scholar 

  • A. V. Popov, M. Labib, J. Fays, and R. M. Botez. Closed-Loop Control Simulations on a Morphing Wing. Journal of Aircraft, 45(5):1794–1803, SEP-OCT 2008. ISSN 0021-8669. doi: 10.2514/1.37073.

    Article  Google Scholar 

  • J. N. Potter, S. A. Neild, and D. J. Wagg. Generalisation and optimisation of semi-active, onoff switching controllers for single degree-of-freedom systems. Journal of Sound & Vibration, 329:2450–2462, 2010.

    Article  Google Scholar 

  • A. Preumont. Vibration control of active structures. Kluwer Academic Publishers: Dordrecht, 1997.

    Book  MATH  Google Scholar 

  • A. Preumont and K. Seto. Active Control of Structures. WileyBlackwell, 2008.bl]

    Google Scholar 

  • A. Preumont, J. P. Dufour, and C. Malekian. Active damping by a local force feedback with piezoelectric actuators. Journal of Guidance Control and Dynamics, 15(2):390–395, MAR-APR 1992. ISSN 0731-5090.

    Article  Google Scholar 

  • A Preumont, A Francois, F Bossens, and A Abu-Hanieh. Force feedback versus acceleration feedback in active vibration isolation. Journal of Sound & Vibration, 257(4):605–613, OCT 31 2002. ISSN 0022-460X. doi: 10.1006/jsvi.5047.

    Article  Google Scholar 

  • A. Preumont, A. Francois, P. De Man, and V. Piefort. Spatial filters in structural control. Journal of Sound & Vibration, 265(1):61–79, JUL 31 2003. ISSN 0022-460X. doi: 10.1016/S0022-460X(02)01440-2.

    Article  MATH  Google Scholar 

  • A. Preumont, A. Francois, P. De Man, N. Loix, and K. Henrioulle. Distributed sensors with piezoelectric films in design of spatial filters for structural control. Journal of Sound & Vibration, 282(3-5):701–712, APR 22 2005. ISSN 0022-460X. doi: 10.1016/j.jsv.2004.03.056.

    Article  Google Scholar 

  • J. C. Ramallo, E. A. Johnson, and B. F. Spencer. “smart” base isolation systems. JOURNAL OF ENGINEERING MECHANICS-ASCE, 128(10): 1088–1099, October 2002.

    Article  Google Scholar 

  • D. Sammier, O. Sename, and L. Dugard. Skyhook and H-infinity control of semi-active suspensions: Some practical aspects. Vehicle System Dynamics, 39(4):279–308, APR 2003. ISSN 0042-3114.

    Article  Google Scholar 

  • S. Sastry. Nonlinear systems:Analysis, stability and control. Springer-Verlag: New York, 1999.

    MATH  Google Scholar 

  • M. R. Schultz and M. W. Hyer. Snap-through of unsymmetric cross-ply laminates using piezoceramic actuators. Journal of Intelligent Material Systems and Structures, 14(12):795–814, 2003.

    Article  Google Scholar 

  • K. A. Seffen and S. Pellegrino. Deployment dynamics of tape springs. Proceedings of the Royal Society of London A-Mathematical Physical and Engineering Sciences, 455(1983):1003–1048, MAR 8 1999. ISSN 1364-5021.

    Article  MathSciNet  MATH  Google Scholar 

  • S. E. Semercigil, F. Collette, and D Huyni. Experiments with tuned absorber — impact damper combination. Journal of Sound and Vibration, 256(1): 179-188, 2002.

    Google Scholar 

  • Y. Shen, M. F. Golnaraghi, and G. R. Heppler. Semi-active vibration control schemes for suspension systems using magnetorheological dampers. Journal of Vibration & Control, 12(1):3–24, January 2006.

    Article  MATH  Google Scholar 

  • Mohammad Shoeybi and Mehrdaad Ghorashi. Nonlinear vibration control of a system with dry friction and viscous damping using the saturation phenomenon. Nonlinear Dynamics, 45(3-4):249–272, AUG 2006. ISSN 0924-090X. doi: 10.1007/s11071-006-1438-2.

    Google Scholar 

  • J-J. E. Slotine and W Li. Applied nonlinear control. Prentice Hall: Englewood Cliffs, NJ, 1991.

    MATH  Google Scholar 

  • A. Y. N. Sofla, S. A. Meguid, K. T. Tan, and W. K. Yeo. Shape morphing of aircraft wing: Status and challenges. Materials & Design, 31(3):1284–1292, MAR 2010. ISSN 0261-3069. doi: 10.1016/j.matdes.2009.09.011.

    Article  Google Scholar 

  • G. Song, V. Sethi, and H. N. Li. Vibration control of civil structures using piezoceramic smart materials: A review. Engieering Structures, 28(11):1513–1524, SEP 2006. ISSN 0141-0296. doi: 10.1016/j.engstruct.2006.02.002.

    Article  Google Scholar 

  • T. T. Soong and G. F. Dargush. Passive energy dissipation systems in structural engineering. Wiley: Chichester, 1997.

    Google Scholar 

  • A. Spadoni and M. Ruzzene. Static aeroelastic response of chiral-core airfoils. Journal of Intelligent Materials Systems & Structures, 18(10):1067–1075, Oct 2007. ISSN 1045-389X. doi: 10.1177/1045389XO6072361. 16th International Conference on Adaptive Structures and Technologies, Paris, France, Oct 9-12, 2005.

    Article  Google Scholar 

  • B. F. Spencer and S. Nagarajaiah. State of the art of structural control. Journal of Structural Engineering-ASCE, 129(7):845–856, July 2003.

    Article  Google Scholar 

  • A. V. Srinivasan and D. M. McFarland. Smart structures. Cambridge: New York, 2001.

    Google Scholar 

  • J. A. Tamboli and S. G. Joshi. Optimum design of a passive suspension system of a vehicle subjected to actual random road excitations. Journal of Sound & Vibration, 219(2):193–205, JAN 14 1999. ISSN 0022-460X.

    Article  Google Scholar 

  • C. Thill, J. Etches, I. Bond, K. Potter, and P. Weaver. Morphing skins. Aeronautical Journal, 112(1129):117–139, MAR 2008. ISSN 0001-9240.

    Google Scholar 

  • J. M. T. Thompson. Instabilities and catastrophes in science and engineering. John Wiley & Sons, 1982.

    Google Scholar 

  • R. Vepa. Dynamics of Smart Structures. Wiley, 2010.

    Google Scholar 

  • G. Verros, S. Natsiavas, and C. Papadimitriou. Design optimization of quarter-car models with passive and semi-active suspensions under random road excitation. Journal of Vibration & Control, 11(5):581–606, MAY 2005. ISSN 1077-5463. doi: 10.1177/1077546305052315.

    Article  MATH  Google Scholar 

  • M. Vidyasagar. Nonlinear Systems Analysis. Society for Industrial and Applied Mathematics: SIAM, 2002.

    Book  MATH  Google Scholar 

  • L. N. Virgin. Vibration of Axially-Loaded Structures. Cambridge, 2007.

    Google Scholar 

  • R. Vos, R. Barrett, R. de Breuker, and P. Tiso. Post-buckled precompressed elements: a new class of control actuators for morphing wing UAVs. Smart Materials & Structures, 16(3):919–926, JUN 2007a. ISSN 0964-1726. doi: 10.1088/0964-1726/16/3/042.

    Article  Google Scholar 

  • R. Vos, R. De Breuker, R. Barrett, and P. Tiso. Morphing wing flight control via postbuckled precompressed piezoelectric actuators. Journal of Aircraft, 44(4):1060–1068, JUL-AUG 2007b. ISSN 0021-8669. doi: 10.2514/1.21292.

    Article  Google Scholar 

  • Ashwin Vyas, Anil K. Bajaj, and Arvind Raman. Dynamics of structures with wideband autoparametric vibration absorbers: experiment. Proceedings of the Royal Soceity of London A., 460:1857–1880, 2003.

    Article  Google Scholar 

  • D. Wagg, I. Bond, P Weaver, and M. Friswell, editors. Adaptive Structures: Engineering Applications. Wiley: Chichester, 2007.

    Google Scholar 

  • D. J Wagg and S. A. Neild. Nonlinear Vibration with Control. Springer-Verlag, 2009.

    Google Scholar 

  • J. Wang, A. Nausieda, S. L. dos Santos, E. Lucato, and A. G. Evans. Twisting of a high authority morphing structure. International Journal of Solids & Structures, 44(9):3076–3099, MAY 1 2007. ISSN 0020-7683. doi: 10.1016/j.ijsolstr.2006.09.008.

    Article  Google Scholar 

  • JF Wang, CC Lin, and BL Chen. Vibration suppression for high-speed raitway bridges using tuned mass dampers. International Journal of Solids & Structures, 40(2):465–491, JAN 2003. ISSN 0020-7683.

    Article  MATH  Google Scholar 

  • A. M. Wickenheiser and E. Garcia. Aerodynamic modeling of morphing wings using an extended lifthig-line analysis. Journal of Aircraft, 44(1): 10–16, JAN-FEB 2007. ISSN 0021-8669. doi: 10.2514/1.18323.

    Article  Google Scholar 

  • K. Worden, W. A. Bullough, and J. Haywood. Smart Technologies. World Scientific: Singapore, 2003.

    Book  Google Scholar 

  • H. Yoshioka, J. C. Ramallo, and B. F. Spencer. “smart” base isolation strategies employing magnetorheological dampers. Journal of Engineering Mechanics—ASCE, 128(5):540–551, May 2002.

    Article  Google Scholar 

  • A Zaremba, R Hampo, and D Hrovat. Optimal active suspension design using constrained optimization. Journal of Sound & Vibration, 207(3): 351–364, OCT 30 1997. ISSN 0022-460X.

    Article  Google Scholar 

  • Y. H. Zhou and J. Z. Wang. Vibration control of piezoelectric beam-type plates with geometrically nonlinear deformation. International Journal of Non-linear Mechanics, 39(6):909–920, AUG 2004. ISSN 0020-7462. doi: 10.1016/S0020-7462(03)00074-X.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Bristol, Bristol, UK

    David Wagg

Authors
  1. David Wagg
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Bristol, Great Britain

    David J. Wagg

  2. Duke University, Duham, NC, USA

    Lawrence Virgin

Rights and permissions

Reprints and permissions

Copyright information

© 2012 CISM, Udine

About this chapter

Cite this chapter

Wagg, D. (2012). Control and exploitation of nonlinearity in smart structures. In: Wagg, D.J., Virgin, L. (eds) Exploiting Nonlinear Behavior in Structural Dynamics. CISM Courses and Lectures, vol 536. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1187-1_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-1187-1_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1186-4

  • Online ISBN: 978-3-7091-1187-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation