Bending and free vibration analysis of a smart functionally graded plate

Structural Engineering and Mechanics

Volumn 23, Issue 1, 2006, Pages 97-113

  Bian, Z G ^a,b   Ying, J ^a   Chen, W Q ^a,b   Ding, H J ^a  

^a ZHEJIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Functionally graded material; Piezoelectric layer; Spring layer model; State space approach

Indexed keywords

BENDING (DEFORMATION); FUNCTIONALLY GRADED MATERIALS; INTELLIGENT STRUCTURES; PIEZOELECTRIC MATERIALS; THICKNESS MEASUREMENT; VIBRATIONS (MECHANICAL);

INTERLAMINAR BONDING; PIEZOELECTRIC LAYER; SPRING LAYER MODEL; STATE SPACE APPROACH;

PLATES (STRUCTURAL COMPONENTS);

EID: 33646748376     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2006.23.1.097     Document Type: Article

References (42)

1. Aboudi, J. (1987). "Damage in composites-modeling of imperfect honding", Comp. Sci. Tech., 28, 103-128.
2. Ali, R., Roy, M.D. and Gopalakrishnan, S. (2004), "An analytical model of constrained piezoelectric thin film sensors". Sensors and Actuators A: Physical, 116, 424-437.
3. Bahar, L.Y. (1975), "A state space approach to elasticity", J. Franklin Institute, 299, 33-41.
4. Batra, R.C. and Liang, X.Q. (1997), "The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators", Comput. Struct., 63, 203-216.
5. Cai, J.B., Chen, W.Q. and Ye, G.R. (2004), "Effect of interlaminar bonding imperfections on the behavior of angle-ply laminated cylindrical panels", Comp. Sci. Tech., 64, 1753-1762.
6. Chee, C., Tong, L. and Steven, G.P. (2001), "Static shape control of composite plates using a curvature-displacement based algorithm", Int. J. Solids Struct., 38, 6381-6403.
7. Chee, C., Tong, L. and Steven, G.P. (2002), "Piezoelectric actuator orientation optimization for static shape control of composite plates", Comp. Struct., 55, 169-184.
8. Chen, W.Q., Cai, J.B. and Ye, G.R. (2003a), "Exact solutions of cross-ply laminates with bonding imperfections", AIAA J., 41, 2244-2250.
9. Chen, W.Q., Bian, Z.G. and Ding, H.J. (2003b), "Three-dimensional analysis of a thick FGM rectangular plate in thermal environment", J. Zhejiang University (Science), 4, 1-7.
10. Chen, W.Q. and Lee, K.Y. (2004a), "Exact solution of angle-ply piezoelectric laminates in cylindrical bending with interfacial imperfections", Comp. Struct., 65, 329-337.
11. Chen, W.Q. and Lee, K.Y. (2004b), "Three-dimensional exact analysis of angle-ply laminates in cylindrical bending with interfacial damage via state-space method", Comp. Struct., 64, 275-283.
12. Chen, W.Q., Ying, J., Cai, J.B. and Ye, G.R. (2004a), "Benchmark solution of imperfect angle-ply laminated rectangular plates in cylindrical bending with surface piezoelectric layers as actuator and sensor", Comput. Struct., 82, 1773-1784.
13. Chen, W.Q., Ying, J., Cai, J.B. and Ye, G.R. (2004b), "Benchmark solution of laminated beams with bonding imperfections", AIAA J., 42, 426-429.
14. Chen, W.Q., Wang, Y.F., Cai, J.B. and Ye, G.R. (2004c), "Three-dimensional analysis of cross-ply laminated cylindrical panels with weak interfaces", Int. J. Solids Struct., 41, 2429-2446.
15. Chen, W.Q., Cai, J.B., Ye, G.R. and Wang, Y.F. (2004d), "Exact three-dimensional solutions of laminated orthotropic piezoelectric rectangular plates featuring interlaminar bonding imperfections modeled by a general spring layer", Int J. Solids Struct., 41, 5247-5263.
16. Chen, W.Q., Bian, Z.G. Lv, C.F. and Ding, H.J. (2004e), "3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid", Int. J. Solids Struct., 41, 947-964.
17. Cheng, Z.Q. and Batra, R.C. (2001), "Thermal effects on laminated composite shells containing interfacial imperfections", Comp. Struct., 52, 3-11.
18. Cheng, Z.Q. and Kitipornchai, S. (2000), "Prestressed composite laminates featuring interlaminar imperfection", Int. J. Mech, Sci., 42, 425-443.
19. Cheng, Z.Q., Jemah, A.K. and Williams, F.W. (1996), "Theory for multilayered anisotropic plates with weakened interfaces", J. Appl. Mech., 63, 1019-1026.
20. Deu, J.F. and Benjeddou, A. (2005), "Free-vibration analysis of laminated plates with embedded shear-mode piezoceramic layers", Int. J. Solids Struct., 42, 2059-2088.
21. Ding, H.J. and Chen, W.Q. (2001), Three Dimensional Problems of Piezoelasticity, New York, Nova Science Publishers.
22. Fuchiyama, T. and Noda, N. (1995), "Analysis of thermal stress in a plate of functionally gradient material", JSAE Rev., 16, 263-268.
23. He, X.Q., Ng, T.Y., Sivashanker, S. and Liew, K.M. (2001), "Active control of FGM plates with integrated piezoelectric sensors and actuators", Int. J. Solids Struct., 38, 1641-1655.
24. Icardi, U., Di Sciuva, M. and Librescu, L. (2000), "Dynamic response of adaptive cross-ply cantilevers featuring interlaminar bonding imperfections", AIAA J., 38, 499-506.
25. Koizumi, M. (1997), "FGM activities in Japan", Composites B, 28, 1-4.
26. Lee, J.S. and Jiang, L.Z. (1996), "Exact electroelastic analysis of piezoelectric laminate via state space approach", Int. J. Solids Struct., 33, 977-990.
27. Li, C.Y. and Weng, G.J. (2002), "Antiplane crack problem in functionally graded piezoelectric materials", J. Appl. Mech., 69, 481-488.
28. Liew, K.M., He, X.Q., Ng, T.Y. and Sivashanker, S. (2001), "Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT", Int. J. Numer. Meth. Eng., 52, 1253-1271.
29. Liew, K.M., He, X.Q., Ng, T.Y. and Kitipornchai, S. (2003), "Finite element piezothermoelasticity analysis and the active control of FGM plates with integrated piezoelectric sensors and actuators", Comput. Mech., 31, 350-358.
30. Liu, G.R., Dai, K.Y., Han, X. and Ohyoshi, T. (2003), "Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates", J. Sound Vib., 268, 131-147.
31. Meguid, S.A. and Wang, X.D. (1999), "Wave scattering from cracks and imperfectly bonded inhomogeneities in advanced materials", Mech. Mater., 31, 187-195.
32. Noor, A.K. and Burton, W.S. (1990), "Assessment of computational models for multilayered composite shells", Appl. Mech. Rev, 43, 67-97.
33. Ootao, Y. and Tanigawa, Y. (2000), "Three-dimensional transient piezothermoelasticity in functionally graded rectangular plate bonded to a piezoelectric plate", Int. J. Solids Struct., 37, 4377-4401.
34. Pagano, N.J. (1969), "Exact solutions for composite laminates in cylindrical bending", J. Comp. Mater., 3, 398-411.
35. Ray, M.C., Rao, K.M. and Samanta, B. (1992), "Exact analysis of coupled electroelastic behaviour of a piezoelectric plate under cylindrical bending", Comput. Struct., 45, 667-677.
36. Ray, M.C., Bhattacharya, R. and Samanta, B. (1998), "Exact solutions for dynamic analysis of composite plates with distributed piezoelectric layers", Comput. Struct., 66, 737-743.
37. Roh, J.H. and Kim, J.H. (2003), "Adaptability of hybrid smart composite plate under low velocity impact", Composites Part B: Engineering, 34, 117-125.
38. Rokhlin, S.I., Wang, L., Xie, B., Yakovlev, V.A. and Adler, L. (2004), "Modulated angle beam ultrasonic spectroscopy for evaluation of imperfect interfaces and adhesive bonds", Ultrasonics, 42, 1037-1047.
39. Saravanos, D.A. and Heyliger, P.R. (1995), "Coupled layerwise analysis of composite beams with embedded piezoelectric sensors and actuators", J. Intelligent Mater. Systems and Struct., 6, 350-363.
40. Shen, H.S. and Liew, K.M. (2004), "Postbuckling of axially loaded functionally graded cylindrical panels with piezoelectric actuators in thermal environments", J. Eng. Mech., 130, 982-995.
41. Vel, S.S. and Batra, R.C. (2001), "Exact solution for the cylindrical bending of laminated plates with embedded piezoelectric shear actuators", Smart Mater. Struct., 10, 240-251.
42. Yang, J., Kitipornchai, S. and Liew, K.M. (2004), "Non-linear analysis of the thermo-electro-mechanical behaviour of shear deformable FGM plates with piezoelectric actuators", Int. J. Numer. Meth. Eng., 59, 1605-1632.