A finite element model for the static and dynamic analysis of a piezoelectric bimorph

International Journal of Solids and Structures

Volumn 41, Issue 15, 2004, Pages 4075-4096

  Wang, S Y ^a,b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b SINGAPORE MIT ALLIANCE   (Singapore)

Author keywords

Electric potential representation; Finite element method; Finite sublayer; Piezoelectric bimorph; Piezoelectricity; Single layer representation

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PIEZOELECTRICITY; STRUCTURE (COMPOSITION);

PIEZOELECTRIC BIMORPH; POTENTIAL FIELD VARIABLES;

SOLIDS;

PIEZOELECTRICITY;

EID: 2542563495     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.02.058     Document Type: Article

References (46)

1. Aldraihem O.J. Wetherhold R.C. Mechanics and control of coupled bending and twisting vibration of laminated beams Smart Materials and Structures 6 1 1997 123-133
2. Auricchio F. Bisegna P. Lovadina C. Finite element approximation of piezoelectric plates International Journal for Numerical Methods in Engineering 50 6 2001 1469-1499
3. Bisegna P. Caruso G. Evaluations of higher-order theories of piezoelectric plates in bending and in stretching International Journal of Solids and Structures 38 48-49 2001 8805-8830
4. Bisegna P. Maceri F. An exact three-dimensional solution for simply supported rectangular piezoelectric plate ASME Journal of Applied Mechanics 63 1996 628-638
5. Cheng D.K. Field and Wave Electromagnetics 2nd Edition 1989 Addison-Wesley Publishing Co., Inc. Reading Mass
6. Ehlers S.M. Weisshaar T.A. Static aeroelastic behavior of an adaptive laminated piezoelectric composite wing AIAA Journal 28 4 1990 1611-1623
7. Fernandes A. Pouget J. Analytical and numerical approaches to piezoelectric bimorph International Journal of Solids and Structures 40 17 2003 4331-4352
8. Gopinathan S.V. Varadan V.V. Varadan V.K. A review and critique of theories for piezoelectric laminates Smart Materials and Structures 9 1 2000 24-48
9. Ha S.K. Kim Y.H. Analysis of a piezoelectric multi-morph in extentional and flexural motions Journal of Sound and Vibration 253 5 2002 1001-1014
10. Hanagud S. Obal M.W. Calise A.J. Optimal vibration control by the use of piezoceramic sensors and actuators Journal of Guidance, Control, and Dynamics 15 5 1992 1199-1206
11. Hughes T.J.R. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis 1987 Prentice-Hall, Inc. Englewood Cliffs
12. Hwang W.S. Park H.C. Finite element modeling of piezoelectric sensors and actuators AIAA Journal 31 5 1993 930-937
13. Ikeda T. Fundamental of Piezoelectricity 1996 Oxford University Press Oxford, U.K
14. Kapuria S. An efficient coupled theory for multilayered beams with embedded piezoelectric sensory and active layers International Journal of Solids and Structures 38 50-51 2001 9179-9199
15. Kapuria S. Dube G.P. Dumir P.C. First-order shear deformation theory solution for a circular piezoelectric composite plate under axisymmetric load Smart Materials and Structures 12 3 2003 417-423
16. Kekana K. Finite element modeling of laminated piezo-elastic structures: Lypunov stability analysis Journal of Sound and Vibration 256 3 2002 463-473
17. Lam K.Y. Ng T.Y. Active control of composite plates with integrated piezoelectric sensors and actuators under various dynamic loading conditions Smart Materials and Structures 8 2 1999 223-237
18. Lam K.Y. Peng X.Q. Liu G.R. Reddy J.N. A finite-element model for piezoelectric composite laminates Smart Materials and Structures 6 5 1997 583-591
19. Lee, C.K., 1987. Piezoelectric laminates for torsional and bending modal control: Theory and experiment. Ph.D. Dissertation, Cornell University
20. Lee C.K. Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships Journal of Acoustic Society of America 87 3 1990 1144-1158
21. Lee P.C.Y. Lin W.S. Piezoelectrically forced vibrations of rectangular SC-cut quartz plates Journal of Applied Physics 83 12 1998 7822-7833
22. Mackerle J. Smart materials and structures - a finite element approach - an addendum: a bibliography (1997-2002) Modelling and Simulation in Materials Science and Engineering 11 2003 707-744
23. Mindlin R.D. Forced thickness-shear and flexural vibrations of piezoelectric crystal plates Journal of Applied Physics 23 1952 83-88
24. Mindlin R.D. High frequency vibrations of piezoelectric crystal plates International Journal of Solids and Structures 8 6 1972 895-906
25. Ray M.C. Bhattacharya R. Samanta B. Exact solutions for static analysis of intelligent structures AIAA Journal 31 9 1993 1684-1691
26. Ray M.C. Bhattacharya R. Samanta B. Exact solutions for dynamic analysis of composite plates with distributed piezoelectric layers Computers and Structures 66 6 1998 737-743
27. Ray M.C. Bhattacharyya R. Samanta B. Static analysis of an intelligent structure by the finite element method Computers and Structures 52 4 1994 617-631
28. Reddy J.N. Mechanics of Laminated Composite Plates: Theory and Analysis 1997 CRC Press Boca Raton
29. Samanta B. Ray M.C. Bhattacharyya R. Finite element model for active control of intelligent structures AIAA Journal 34 9 1996 1885-1893
30. Saravanos D.A. Heyliger P.R. Hopkins D.A. Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates International Journal of Solids and Structures 34 3 1997 359-378
31. Shen M.-H.H. Analysis of beams containing piezoelectric sensors and actuators Smart Materials and Structures 3 4 1994 439-447
32. Tiersten H.F. Equations for the extension and flexure of relatively thin electroelastic plates under large electric fields Lee J.S. Mechanics of Electromagnetic Materials and Structures vol. 161 1993 21-34 ASME AMD New York
33. Tzou H.S. Piezoelectric shells Solid Mechanics and Its Applications vol. 19 1993 Kluwer Academic Publishers Dordrecht
34. Tzou H.S. Tiersten H.F. Elastic analysis of laminated composite plates in cylindrical bending due to piezoelectric actuators Smart Materials and Structures 3 3 1994 255-265
35. Tzou H.S. Tseng C.I. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach Journal of Sound and Vibration 138 1 1990 17-34
36. Tzou H.S. Tseng C.I. Distributed vibration control and identification of coupled elastic/piezoelectric systems: finite element formulation and applications Mechanical Systems and Signal Processing 5 3 1991 215-231
37. Wang, S.Y., 2002. Active vibration control of smart piezoelectric composite plates. Ph.D. Dissertation, National University of Singapore, Singapore
38. Wang S.Y. Ang K.K. Quek S.T. Finite element modeling of smart composite plates Wang C.M. Lee K.H. Ang K.K. Solid Mechanics and Fluid Mechanics. Computational Mechanics for the Next Millenium, vol. 1. Proceedings of APCOM '99 1999 267-272 Elsevier Science Ltd. Oxford, UK
39. Wang Q. Quek S.T. A model for the analysis of beams with embedded piezoelectric layers Journal of Intelligent Material Systems and Structures 13 1 2002 61-70
40. Wang S.Y. Quek S.T. Ang K.K. Vibration control of smart piezoelectric composite plates Smart Materials and Structures 10 4 2001 637-644
41. Wang S.Y. Quek S.T. Ang K.K. Dynamic stability analysis of finite element modeling of piezoelectric composite plates International Journal of Solids and Structures 41 3-4 2004 745-764
42. Wang, S.Y., Tai, K., Quek, S.T., 2003. Topology optimization of piezoelectric sensors/actuators for torsional vibration control of composite plates. Journal of Sound and Vibration, submitted for publication
43. Yang J.S. Equations for the flexural motion of elastic plates with partially electroded piezoelectric actuators Smart Materials and Structures 6 4 1997 485-490
44. Yang J.S. Equations for thick elastic plates with partially electroded piezoelectric actuators and higher order electric fields Smart Materials and Structures 8 1 1999 73-82
45. Yao L.Q. Lu L. Hybrid-stabilized solid-shell model of laminated composite piezoelectric structures under non-linear distribution of electric potential through thickness International Journal for Numerical Methods in Engineering 58 10 2003 1499-1522
46. Zhu M.L. Lee S.-W.R. Li H.L. Zhang T.Y. Tong P. Modeling of torsional vibration induced by extension-twisting coupling of anisotropic composite laminates with piezoelectric actuators Smart Materials and Structures 11 1 2002 55-62