24
2 Literature Review
14. H.S. Tzou, M. Gadre, Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. J. Sound Vib. 132, 433–450 (1989)
15. C.K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: governing equations and reciprocal relationships. J. Acoust. Soc. Am.
87, 1144–1158 (1990)
16. H. Kioua, S. Mirza, Piezoelectric induced bending and twisting of laminated composite shallow shells. Smart Mater. Struct. 9, 476–484 (2000)
17. K.Y. Lam, X.Q. Peng, G.R. Liu, J.N. Reddy, A finite-element model for piezoelectric composite laminates. Smart Mater. Struct. 6, 583–591 (1997)
18. D.A. Saravanos, Mixed laminate theory and finite element for smart piezoelectric composite
shell structures. AIAA J. 35, 1327–1333 (1997)
19. G.R. Liu, X.Q. Peng, K.Y. Lam, J. Tani, Vibration control simulation of laminated composite
plates with integrated piezoelectrics. J. Sound Vib. 220, 827–846 (1999)
20. J.M.S. Moita, I.F.P. Correia, C.M. Soares, C.A.M. Soares, Active control of adaptive laminated
structures with bonded piezoelectric sensors and actuators. Comput. Struct. 82, 1349–1358
(2004)
21. J.M.S. Moita, V.M.F. Correia, P.G. Martins, C.M.M. Soares, C.A.M. Soares, Optimal design
in vibration control of adaptive structures using a simulated annealing algorithm. Compos.
Struct. 75, 79–87 (2006)
22. R.P. Shimpi, H.G. Patel, Free vibration of plate using two variable refined plate theory. J.
Sound Vib. 296, 979–999 (2006)
23. S.Q. Zhang, Nonlinear FE Simulation and Active Vibration Control of Piezoelectric Laminated
Thin-Walled Smart Structures. PhD thesis, RWTH Aachen University (2014)
24. R.D. Mindlin, Forced thickness-shear and flexural vibrations of piezoelectric crystal plates.
J. Appl. Phys. 23, 83–88 (1952)
25. C.C. Lin, C.Y. Hsu, H.N. Huang, Finite element analysis on deflection control of plates with
piezoelectric actuators. Compos. Struct. 35, 423–433 (1996)
26. S. Cen, A.K. Soh, Y.Q. Long, Z.H. Yao, A new 4-node quadrilateral FE model with variable
electrical degrees of freedom for the analysis of piezoelectric laminated composite plates.
Compos. Struct. 58, 583–599 (2002)
27. S. Kapuria, P.C. Dumir, First order shear deformation theory for hybrid cylindrical panel
in cylindrical bending considering electrothermomechanical coupling effects. ZAMM · Z.
Angew. Math. Mech. 82, 461–471 (2002)
28. D. Marinkovi´ c, H. Köppe, U. Gabbert, Accurate modeling of the electric field within piezoelectric layers for active composite structures. J. Intell. Mater. Syst. Struct. 18, 503–513
(2007)
29. C.Q. Chen, X.M. Wang, Y.P. Shen, Finite element approach of vibration control using selfsensing piezoelectric actuators. Comput. Struct. 60, 505–512 (1996)
30. V. Balamurugan, S. Narayanan, Shell finite element for smart piezoelectric composite
plate/shell structures and its application to the study of active vibration control. Finite Elem.
Anal. Design 37, 713–738 (2001)
31. S.Y. Wang, S.T. Quek, K.K. Ang, Vibration control of smart piezoelectric composite plates.
Smart Mater. Struct. 10, 637–644 (2001)
32. S.Y. Wang, S.T. Quek, K.K. Ang, Dynamic stability analysis of finite element modeling of
piezoelectric composite plates. Int. J. Solids Struct. 41, 745–764 (2004)
33. M. Krommer, Piezoelastic vibrations of composite Reissner-Mindlin-type plates. J. Sound
Vib. 263, 871–891 (2003)
34. S.Y. Wang, A finite element model for the static and dynamic analysis of a piezoelectric
bimorph. Int. J. Solids Struct. 41, 4075–4096 (2004)
35. G.R. Liu, K.Y. Dai, K.M. Lim, Static and vibration control of composite laminates integrated
with piezoelectric sensors and actuators using the radial point interpolation method. Smart
Mater. Struct. 13, 1438–1447 (2004)
36. J.N. Reddy, A simple higher-order theory for laminated composite plates. J. Appl. Mech. 51,
745–752 (1984)
2 Literature Review
14. H.S. Tzou, M. Gadre, Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. J. Sound Vib. 132, 433–450 (1989)
15. C.K. Lee, Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: governing equations and reciprocal relationships. J. Acoust. Soc. Am.
87, 1144–1158 (1990)
16. H. Kioua, S. Mirza, Piezoelectric induced bending and twisting of laminated composite shallow shells. Smart Mater. Struct. 9, 476–484 (2000)
17. K.Y. Lam, X.Q. Peng, G.R. Liu, J.N. Reddy, A finite-element model for piezoelectric composite laminates. Smart Mater. Struct. 6, 583–591 (1997)
18. D.A. Saravanos, Mixed laminate theory and finite element for smart piezoelectric composite
shell structures. AIAA J. 35, 1327–1333 (1997)
19. G.R. Liu, X.Q. Peng, K.Y. Lam, J. Tani, Vibration control simulation of laminated composite
plates with integrated piezoelectrics. J. Sound Vib. 220, 827–846 (1999)
20. J.M.S. Moita, I.F.P. Correia, C.M. Soares, C.A.M. Soares, Active control of adaptive laminated
structures with bonded piezoelectric sensors and actuators. Comput. Struct. 82, 1349–1358
(2004)
21. J.M.S. Moita, V.M.F. Correia, P.G. Martins, C.M.M. Soares, C.A.M. Soares, Optimal design
in vibration control of adaptive structures using a simulated annealing algorithm. Compos.
Struct. 75, 79–87 (2006)
22. R.P. Shimpi, H.G. Patel, Free vibration of plate using two variable refined plate theory. J.
Sound Vib. 296, 979–999 (2006)
23. S.Q. Zhang, Nonlinear FE Simulation and Active Vibration Control of Piezoelectric Laminated
Thin-Walled Smart Structures. PhD thesis, RWTH Aachen University (2014)
24. R.D. Mindlin, Forced thickness-shear and flexural vibrations of piezoelectric crystal plates.
J. Appl. Phys. 23, 83–88 (1952)
25. C.C. Lin, C.Y. Hsu, H.N. Huang, Finite element analysis on deflection control of plates with
piezoelectric actuators. Compos. Struct. 35, 423–433 (1996)
26. S. Cen, A.K. Soh, Y.Q. Long, Z.H. Yao, A new 4-node quadrilateral FE model with variable
electrical degrees of freedom for the analysis of piezoelectric laminated composite plates.
Compos. Struct. 58, 583–599 (2002)
27. S. Kapuria, P.C. Dumir, First order shear deformation theory for hybrid cylindrical panel
in cylindrical bending considering electrothermomechanical coupling effects. ZAMM · Z.
Angew. Math. Mech. 82, 461–471 (2002)
28. D. Marinkovi´ c, H. Köppe, U. Gabbert, Accurate modeling of the electric field within piezoelectric layers for active composite structures. J. Intell. Mater. Syst. Struct. 18, 503–513
(2007)
29. C.Q. Chen, X.M. Wang, Y.P. Shen, Finite element approach of vibration control using selfsensing piezoelectric actuators. Comput. Struct. 60, 505–512 (1996)
30. V. Balamurugan, S. Narayanan, Shell finite element for smart piezoelectric composite
plate/shell structures and its application to the study of active vibration control. Finite Elem.
Anal. Design 37, 713–738 (2001)
31. S.Y. Wang, S.T. Quek, K.K. Ang, Vibration control of smart piezoelectric composite plates.
Smart Mater. Struct. 10, 637–644 (2001)
32. S.Y. Wang, S.T. Quek, K.K. Ang, Dynamic stability analysis of finite element modeling of
piezoelectric composite plates. Int. J. Solids Struct. 41, 745–764 (2004)
33. M. Krommer, Piezoelastic vibrations of composite Reissner-Mindlin-type plates. J. Sound
Vib. 263, 871–891 (2003)
34. S.Y. Wang, A finite element model for the static and dynamic analysis of a piezoelectric
bimorph. Int. J. Solids Struct. 41, 4075–4096 (2004)
35. G.R. Liu, K.Y. Dai, K.M. Lim, Static and vibration control of composite laminates integrated
with piezoelectric sensors and actuators using the radial point interpolation method. Smart
Mater. Struct. 13, 1438–1447 (2004)
36. J.N. Reddy, A simple higher-order theory for laminated composite plates. J. Appl. Mech. 51,
745–752 (1984)