Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers

International Journal of Circuit Theory and Applications

Volumn 32, Issue 4, 2004, Pages 167-198

  Porfiri, M ^a,b   Dell'Isola, F ^a   Mascioli, F M Frattale ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Distributed control; Electric analogs; Multimodal vibrations; Multiport synthesis; Passive damping; Passive electric networks; Piezoelectric transducers; Smart structures

Indexed keywords

BOUNDARY CONDITIONS; CAPACITORS; DAMPING; DISTRIBUTED PARAMETER CONTROL SYSTEMS; INTELLIGENT STRUCTURES; MATHEMATICAL MODELS; NETWORKS (CIRCUITS); PIEZOELECTRIC TRANSDUCERS; SIMULATION;

MULTIMODAL VIBRATIONS; MULTIPORT SYNTHESIS; PASSIVE DAMPING; PASSIVE ELECTRIC NETWORKS;

PASSIVE NETWORKS;

EID: 3242678971     PISSN: 00989886     EISSN: None     Source Type: Journal    
DOI: 10.1002/cta.273     Document Type: Article

References (34)

1. IEEE Std 176-1987 IEEE Standard on Piezoelectricity. The Institute of Electrical and Electronic Engineers: New York, 1987.
2. Chopra I. Review of state of art of smart structures and integrated systems. AIAA Journal 2002; 40(11): 2145-2187.
3. Niezreski C, Brei D, Balakrishnam S, Moskalik A. Piezoelectric actuation: state of the art. The Shock and Vibration Digest 2001; 33(4):269-280.
4. Boller C. State of the art and trends in using smart materials and systems in transportation vehicles. Proceedings of the Institute of Mechanical Engineers 1998; 212(Part 1):149-158.
5. Olsen HF. Electronic control of noise, vibration and reverberation. Journal of Acoustical Society 1956; 28: 976-972.
6. Forward RL, Swigert GJ. Electronic damping of orthogonal bending modes in a cylindrical mast-theory. Journal of Spacecraft and Rockets 1981; 18:5-10.
7. Hanagud S, Obal MW, Meyyappa M. Electronic damping techniques and active vibration control. Proceedings of the 26th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, Orlando, Florida, USA, AIAA Paper 85-0752, April 1985.
8. Hanagud S, Obal MW, Cause AJ. Optimal vibration control by the use of piezoceramic sensors and actuators. Journal of Guidance, Control and Dynamics 1992; 15(5):1199-1206.
9. Canon E, Lenczner M, Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuit. Models for inclusion that are small with respect to the thickness of the plate. Journal of Elasticity 1999; 55:111-141.
10. Hoffmann KH, Botkin ND. Homogenization of von Karman plates excited by piezoelectric patches. Zeitschrift fur Angewandte Mathematik und Mechanik 2000; 80(9):579-590.
11. Kader M, Lenczner M, Mrcarica Z. Distributed control based on distributed electronic circuits: application to vibration control. Microelectronics Reliability 2001; 41:1857-1866.
12. Bemadou M, Haenel C. Modelization and numerical analysis of active thin shell structures. Proceedings European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2000, Barcelona, 2000.
13. Hagood NW, von Flotow AH. 1991. Damping of structural vibrations with piezoelectric materials and passive electrical networks. Journal of Sound and Vibration 1991; 146(2):243-368.
14. Den Hartog J. Mechanical Vibrations. McGraw-Hill: New York, 1934.
15. Fleming AJ, Behrens S, Moheimani SOR. Synthetic impedance for implementation of piezoelectric shunt-damping circuits. Electronic Letters 2000; 36:1525-1526.
16. Keun-Ho R, In L. Adaptive shunting for vibration control of frequency-varying structures. Journal of Guidance, Control, and Dynamics 2001; 24(6): 1223-1225.
17. Hollkamp JJ. Multimodal passive vibration suppression with piezoelectric materials and resonant shunts. Journal of Intelligent Material Systems and Structures 1994; 5:49-57.
18. Fleming AJ, Behrens S, Moheimani SOR. Optimization and implementation of multimode piezoelectric shunt damping systems. IEEE/ASME Transactions on Mechatronics 2002; 7(1):87-94.
19. dell'Isola F, Vidoli S. Continuum modelling of piezo-electromechanical truss beams: an application to vibration damping. Archive of Applied Mechanics 1998; 68:1-19.
20. Valis T, von Flotow AH, Hagood NW. An acousto-electromagnetic piezoelectric waveguide-couple. Active Materials and Adaptive Structures, Proceedings of the ADPA/AIAA/ASME/SPIE Conference November 1991 Alexandria Virginia Gareth J Knowles (ed.) Institution of Physics Publishing: Bristol, Philadelphia, 1991; 383-394.
21. Vidoli S, dell'Isola F. Modal coupling in one-dimensional electromechanical structured continua. Acta Mechanica 2000; 141:37-50.
22. dell'Isola F, Henneke EG, Porfiri M. Piezoelectromechanical structures: a survey of basic concepts and methodologies. Proceedings of the SPIE Smart Structures and Materials, Smart Structures and Integrated Systems, San Diego, vol. 5052, 2003; 392-402.
23. Alessandroni S, dell'Isola F, Porfiri M. A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators. International Journal of Solids and Structures 2002; 39(20):5295-5324.
24. Maurini C, dell'Isola F, Del Vescovo D. Comparison of piezoelectronic networks acting as distributed vibration absorbers. Mechanical Systems and Signal Processing 2004; 18(5):1243-1271.
25. Soedel W. Vibrations of Shells and Plates (2nd edn). Marcel Dekker: New York, 1993.
26. Molloy CT. Four pole parameters in vibration analysis in mechanical impedance methods for mechanical vibrations. Colloquium on Mechanical Impedance Methods for Mechanical Vibrations presented at the ASME Annual Meeting 1958, New York, NY, 2 December (sponsored by Shock and Vibrating Committee Applied Mechanics Division, The American Society of Mechanical Engineers, New York, R. Plunkett (ed.)).
27. Newcomb RW. Linear Multipart Synthesis. McGraw-Hill: New York, 1966.
28. Slepian P, Weinbeg L. Synthesis. Synthesis applications of paramount and dominant matrices. Proceedings of the National Electronics Conference 1958; 14:611-630.
29. Panel. The realization of n-port networks without transformers: a panel discussion. Transactions on IRE Circuit Theory 1962; CT-9(3):202-214.
30. Pedersen M. Functional Analysis in Applied Mathematics and Engineering. Chapman & Hall: Boca Raton, 1999.
31. Chen G, Russell DL. A mathematical model for linear elastic systems with structural damping. Quarterly of Applied Mathematics 1982; 39:433-454.
32. Russell DL. On the positive square root of the fourth derivative operator. Quarterly of Applied Mathematics 1988; 46:751-773.
33. Tang J, Wang KW. Active-passive hybrid piezoelectric networks for vibration control: comparisons and improvement. Smart Materials and Structures 2001; 10:794-806.
34. Miller DW, Crawley EF. Theoretical and experimental investigation of space-realizable inenial actuation for passive and active structural control. Journal of Guidance, Control and Dynamics 1988; 11(5):449-458.