Cylindrical bending of laminated plates with distributed and segmented piezoelectric actuators/sensors

AIAA journal

Volumn 38, Issue 5, 2000, Pages 857-867

  Vel, Senthil S ^a   Batra, R C ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; BENDING (DEFORMATION); BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELASTICITY; INTELLIGENT STRUCTURES; INTERFACES (MATERIALS); LAMINATED COMPOSITES; PIEZOELECTRIC MATERIALS; SENSORS;

CYLINDRICAL BENDING; LAMINATED PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034188339     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1040     Document Type: Article

References (41)

1. Bailey, T., and Hubbard, J. E., "Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam," Journal of Guidance, Control, and Dynamics, Vol. 8, No. 5, 1985, pp. 605-611.
2. Im, S., and Atluri, S. N., "Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading," AIAA Journal, Vol. 27, No. 12, 1989, pp. 1801-1807.
3. Crawley, E. F., and de Luis, J., "Use of Piezoelectric Actuators as Elements of Intelligent Structures," AIAA Journal, Vol. 25, No. 10, 1987, pp. 1373-1385.
4. Crawley, E. F., and Anderson, E. H., "Detailed Models of Piezoceramic Actuation of Beams," Journal of Intelligent Material Systems and Structures, Vol. 1, No. 1, 1990, pp. 4-25.
5. Lee, C. K., "Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/Actuators. Part 1: Governing Equations and Reciprocal Relationships," Journal of the Acoustical Society of America, Vol. 87, No. 3, 1990, pp. 1144-1158.
6. Wang, B. T., and Rogers, C. A., "Laminate Plate Theory for Spatially Distributed Induced Strain Actuators," Journal of Composite Materials, Vol. 25, No. 4, 1991, pp. 433-452.
7. Mitchell, J. A., and Reddy, J. N., "A Refined Hybrid Plate Theory for Composite Laminates with Piezoelectric Laminae," International Journal of Solids and Structures, Vol. 32, No. 16, 1995, pp. 2345-2367.
8. Tzou, H. S., and Zhong, J. P., "Electroceramics and Vibrations of Piezoelectric Shell Distributed Systems," Journal of Dynamic Systems, Measurement and Control, Vol. 115, No. 3, 1993, pp. 506-517.
9. Allik, H., and Hughes, T. J. R., "Finite Element Method for Piezoelectric Vibration," International Journal for Numerical Methods in Engineering, Vol. 2, No. 2, 1970, pp. 151-157.
10. Robbins, D. H., and Reddy, J. N., "Analysis of Piezoelectrically Actuated Beams Using a Layer-Wise Displacement Theory," Computers and Structures, Vol. 41, No. 2, 1991, pp. 265-279.
11. Robbins, D. H., and Reddy, J. N., "An Efficient Computational Model for the Stress Analysis of Smart Plate Structures," Smart Materials and Structures, Vol. 5, No. 3, 1996, pp. 353-360.
12. Ha, S. K., Keilers C., and Chang, F. K., "Finite Element Analysis of Composite Structures Containing Piezoceramic Sensors and Actuators," AIAA Journal, Vol. 30, No. 3, 1992, pp. 772-780.
13. Batra, R. C., and Liang, X. Q., "Finite Dynamic Deformations of Smart Structures," Computational Mechanics, Vol. 20, No. 5, 1997, pp. 427-438.
14. Pagano, N. J., "Exact Solutions for Composite Laminates in Cylindrical Bending," Journal of Composite Materials, Vol. 3, No. 3, 1969, pp. 398-411.
15. Pagano, N. J., "Influence of Shear Coupling in Cylindrical Bending of Anisotropic Laminates," Journal of Composite Materials, Vol. 4, No. 3, 1970, pp. 330-343.
16. Ray, M. C., Rao, K. M., and Samanta, B., "Exact Analysis of Coupled Electroelastic Behavior of Piezoelectric Plate Under Cylindrical Bending," Computers and Structures, Vol. 45, No. 4, 1992, pp. 667-677.
17. Ray, M. C., Bhattacharya R, and Samanta, B., "Exact Solutions for Static Analysis of Intelligent Structures," AIAA Journal, Vol. 31, No. 9, 1993, pp. 1684-1691.
18. Ray, M. C., Rao, K. M., and Samanta B., "Exact Solution for Static Analysis of Intelligent Structures Under Cylindrical Bending," Computers and Structures, Vol. 47, No. 6, 1993, pp. 1031-1042.
19. Heyliger, P., and Brooks, S., "Exact Solutions for Laminated Piezoelectric Plates in Cylindrical Bending," Journal of Applied Mechanics, Vol. 63, No. 4, 1996, pp. 903-910.
20. Brooks, S., and Heyliger, P., "Static Behavior of Piezoelectric Laminates with Distributed and Patched Actuators," Journal of Intelligent Material Systems and Structures, Vol. 5, No. 5, 1994, pp. 635-646.
21. Zhou, Y. S., and Tiersten, H. F., "An Elastic Analysis of Laminated Plates in Cylindrical Bending due to Piezoelectric Actuators," Smart Materials and Structures, Vol. 3, No. 3, 1994, pp. 255-265.
22. Yang, J. S., Batra, R. C., and Liang, X. Q., "The Cylindrical Bending Vibration of a Laminated Elastic Plate due to Piezoelectric Actuators," Smart Materials and Structures, Vol. 3, No. 4, 1994, pp. 485-493.
23. Batra, R. C., Liang, X. Q., and Yang, J. S., "Shape Control of Vibrating Simply Supported Rectangular Plates," AIAA Journal, Vol. 34, No. 1, 1996, pp 116-122.
24. Vel, S. S., and Batra, R. C., "The Generalized Plane Strain Deformations of Anisotropic Composite Laminated Plates," International Journal of Solids and Structures, Vol. 37, No. 5, 2000, pp. 715-733.
25. Tiersten, H. F., Linear Piezoelectric Plate Vibrations, Plenum, New York, 1969.
26. Eshelby, J. D., Read, W. T., and Shockley, W., "Anisotropic Elasticity with Applications to Dislocation Theory," Acta Metallurgica, Vol. 1, No. 2, 1953, pp. 251-259.
27. Stroh., A. N., "Dislocations and Cracks in Anisotropic Elasticity," Philosophical Magazine, Vol. 3, No. 4, 1958, pp. 625-646.
28. Ting, T. C. T., Anisotropic Elasticity, Theory and Applications, No. 45, Oxford Engineering Science Series, Oxford Univ. Press, New York, 1996.
29. Yang, X. X., Shen, S., and Kuang, Z. B., "The Degenerate Solution for Piezothermoelastic Materials," European Journal of Mechanics. A, Solids, Vol. 16, No. 5, 1997, pp. 779-793.
30. Dempsey, J. P., and Sinclair, G. B., "On the Stress Singularities in the Plane Elasticity of the Composite Wedge," Journal of Elasticity, Vol. 9, No. 4, 1979, pp. 373-391.
31. Dube, G. P., Kapuria, S., and Dumir, P. C., "Exact Piezothermoelastic Solution of Simply-Supported Orthotropic Flat Panel in Cylindrical Bending," International Journal of Mechanical Sciences, Vol 38, No. 11, 1996, pp. 1161-1177.
32. Xu, K., and Moor, A. K., "Predictor-Corrector Finite Element Approach for Electroelastic Analysis of Hybrid Composite Plates," Computer Methods in Applied Mechanics and Engineering, Vol. 147, Nos. 1-2, 1997, pp. 139-145.
33. Moulson, A. J., and Herbert, J. M., Electroceramics: Materials, Properties, Applications, Chapman and Hall, London, 1990.
34. Tzou, H. S., "Development of a Light-Weight Robot End-Effector Using Polymeric Piezoelectric Bimorph," Proceedings of the 1989 IEEE International Conference on Robotics and Automation, IEEE Computer Society Press, Silver Spring, MD, 1989, pp. 1704-1709.
35. Timoshenko, S. P., "Analysis of Bi-Metal Thermostats," Journal of the Optical Society of America, Vol. 11, Sept. 1925, pp. 233-255.
36. Boley, B. A., and Weiner, J. H., Theory of Thermal Stresses, Wiley, New York, 1960.
37. Suhir, E., "Interfacial Stresses in Bimetal Thermostats," Journal of Applied Mechanics, Vol. 56, No. 3, 1989, pp. 595-600.
38. Pionke, C. D., and Wempner, G., "The Various Approximations of the Bimetallic Thermostatic Strip," Journal of Applied Mechanics, Vol. 58, No. 4, 1991, pp. 1015-1020.
39. Ting, T. C. T., and Chou, S. C., "Edge Singularities in Anisotropic Composites," International Journal of Solids and Structures, Vol. 17, No. 11, 1981, pp. 1057-1068.
40. Vel, S. S., and Batra, R. C., "Analytical Solution for Rectangular Laminated Thick Plates Subjected to Arbitrary Boundary Conditions," AIAA Journal, Vol. 37, No. 11, 1999, pp. 1464-1473.
41. Vel, S. S., and Batra, R. C., "Three-Dimensional Analytical Solution for Hybrid Multilayered Piezoelectric Plates," Journal of Applied Mechanics (to be published).