Bending Behavior of Piezo-Hygrothermo-Elastic Smart Laminated Composite Flat and Curved Plates with Active Control

Abstract

The actuation and sensing behavior of piezo-hygrothermo-elastic flat and curved plates with active control is presented. A finite element procedure involving coupled piezoelectric field with hygrothermal strain is derived using first order shear deformation theory and is implemented in a nine-noded Lagrangian plate element. The accuracy of the element to model the piezoelectric, pyroelectric, hygroelastic, and thermoelastic behaviors of flat and doubly curved plates is validated with standard benchmark problems. The directional actuation that represents the piezoelectric anisotropy is introduced in the analysis and a comparison is made with isotropic actuation to control the thermal and moisture induced deformation in the laminated plates. Numerical studies are carried out with different fiber orientations to capture the influence of piezoelectric anisotropy on the actuation and sensing characteristics of the active lamina. The directionally actuated piezoelectric lamina that has a reduced piezoelectric capability in transverse direction is efficient, if properly tailored along the fiber directions. However, it is observed that the isotropic actuation has the potential to control the thermal and moisture developed deflection in angle-ply and cross-ply laminates. The actuator lamina is efficient if placed on the top of curved laminates in controlling the deflection.

Keywords

piezo-hygrothermo-elasticity smart composite plates active control

Get full access to this article

View all access options for this article.

References

1. Benjeddou, A. (2000). Advances in Piezoelectric Finite Element Modelling of Adaptive Structural Elements: A Survey, Computers and Structures, 76: 347-363.

2. Chee, C.Y.K. , Tong, L. and Steven, G.P. (1998). A Review of the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures, Journal of Intelligent Material Systems and Structures, 9: 3-19.

3. Tzou, H.S. and Ye, R. (1994). Piezothermoelasticity and Precision Control of Piezoelectric Systems: Theory and Finite Element Analysis, Journal of Vibration and Acoustics, 116: 489-495.

4. Lee, H.J. and Saravanos, D.A. (1996). Coupled Layer-wise Analysis of Thermo-piezoelectric Composite Beams, AIAA Journal, 34(6): 1231-1237.

5. Raja, S. , Rohwer, K. and Rose, M. (1999). Piezothermoelastic Modelling and Active Vibration Control of Laminated Piezoelectric Composite Beam, Journal of Intelligent Material Systems and Structures, 10(11): 890-899.

6. Rao, S.S. and Sunar, M. (1993). Analysis of Distributed Thermo-Piezoelectric Sensors and Actuators in Advanced Intelligent Structures, AIAA Journal, 31(7): 1280-1286.

7. Jonnalagadda, K.D. , Blandford, G.E. and Tauchert, T.R. (1994). Piezothermo-elastic Composite Plate Analysis Using First Order Shear Deformation Theory, Computers and Structures, 51(1): 79-89.

8. Blandford, G.E. , Tauchert, T.R. and Du, Y. (1999). Self-strained Piezothermo-elastic Composite Beam Analysis Using First Order Shear Deformation Theory, Composites: Part B, 30: 51-63.

9. Zhou, Xu , Chattopadhyay, A. and Gu, H. (2000). Dynamic Response of Smart Composites Using a Coupled Thermo-piezoelectric-mechanical Model, AIAA Journal, 38(10): 1939-1948.

10.

10. Tzou, H.S. and Zhou, Y.H. (1997). Nonlinear Piezothermoelasticity and Multi-field Actuations, Part 2: Control of Nonlinear Deflection, Buckling and Dynamics, Journal of Vibration and Acoustics, 119(3): 382-389.

11.

11. Bao, Y. , Tzou, H.S. and Venkayya, V.B. (1998). Analysis of Nonlinear Piezothermoelastic Laminated Beams with Electric and Temperature Effects, Journal of Sound and Vibration, 209(3): 505-518.

12.

12. Oh, I.K. , Han, J.H. and Lee, In. (2000). Postbuckling and Vibration Characteristics of Piezolaminated Composite Subject to Thermo-piezoelectric Loads, Journal of Sound and Vibration, 233(1): 19-40.

13.

13. Oh, I.K. , Han, J.H. and Lee, In. (2001). Thermo-piezoelastic Snapping of Piezolaminated Plates Using Layer-wise Nonlinear Finite Elements, AIAA Journal, 39(6): 1188-1197.

14.

14. Yi, S. et al. (1999). Finite Element Formulation For Anisotropic Coupled Piezoelectric-hygro-thermo-viscoelasto-dynamic Problems, International Journal for Numerical Methods in Engineering, 45: 1531-1546.

15.

15. Smittakorn, W. and Heyliger, P.R. (2000). A Discrete-layer Model of Laminated Hygrothermopiezoelectric Plates, Mechanics of Composite Materials and Structures, 7(1): 79-104.

16.

16. Bent, A.A. , Hagood, N.W. and Rogers, J.P. (1995). Anisotropic Actuation with Piezoelectric Fibre Composites, Journal of Intelligent Material Systems and Structures, 6: 338-349.

17.

17. Barrett, R. (1992). Active Plate and Wing Research Using EDAP Elements, Smart Materials and Structures, 1: 214-226.

18.

18. Chee, C. , Tong, L. and Steven, G.A. (2000). Mixed Model for Adaptive Composite Plates with Piezoelectric for Anisotropic Actuation, Computers and Structures, 77: 253-268.

19.

19. Raja, S. , Sinha, P.K. , Prathap, G. and Bhattacharya, P. (2002). Influence of One and Two Dimensional Piezoelectric Actuation on Active Vibration Control of Smart Panels, J. Aerospace Science and Technology, 6(3): 209-216.

20.

20. Bhattacharya, P. , Suhail, H. and Sinha, P.K. (1998). Finite Element Free Vibration Analysis of Smart Laminated Composite Beams and Plates, Journal of Intelligent Material Systems and Structures, 9(1): 20-29.

21.

21. Ray, M.C. , Bhattacharya, R. and Samanta, B. (1994). Exact Solutions for Static Analysis of Intelligent Structures, AIAA Journal, 31(9): 1684-1691.

22.

22. Sai Ram, K.S. and Sinha, P.K. (1991). Hygrothermal Effects on the Bending Characteristics of Laminated Composite Plates, Computers and Structures, 40(4): 1009-1015.

23.

23. Reddy, J.N. (1984). Energy and Variational Methods in Applied Mechanics, John Wiley & Sons, New York.

24.

24. Reddy, J.N. (1982). Bending of Laminated Anisotropic Shells by a Shear Deformable Finite Element, Fibre Science and Technology, 17: 9-24.

25.

25. Wu, C.H. and Tauchert, T.R. (1980). Thermoelastic Analysis of Laminated Plates. 2: Anti-symmetric Cross-ply and Angle-ply Laminates, Journal of Thermal Stresses, 3: 365-378.