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Stability of Homogeneous Smart Beams based on the First Order Shear Deformation Theory Located on a Continuous Elastic Foundation

Authors: A. R. Nezamabadi, M. Karami Khorramabadi


This paper studies stability of homogeneous beams with piezoelectric layers subjected to axial load that is simply supported at both ends lies on a continuous elastic foundation. The displacement field of beam is assumed based on first order shear deformation beam theory. Applying the Hamilton's principle, the governing equation is established. The influences of applied voltage, dimensionless geometrical parameter and foundation coefficient on the stability of beam are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data.

Keywords: Stability, Homogeneous beam- Piezoelectric layer

Digital Object Identifier (DOI):

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[1] Bailey T, Hubbard JE Jr.. Distributed piezoelectric polymer active vibration control of a cantilever beam. Journal of Guidance Control and Dynamics 1985;8:605-11.
[2] Lee CK, Moon FC. Laminated piezopolymer plates for torsion and bending sensors and actuators. Journal of Acoustics Society of America 1989;85:2432-9.
[3] Wang BT, Rogers CA. Laminate plate theory for spatially distributed induced strain actuators. Journal of Composite Materials 1991;25:433- 52.
[4] Ha SK, Keilers C, Chang FK. Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators. AIAA Journal 1992;30:772-80.
[5] Kim J, Varadan VV, Varadan VK, Bao XQ. Finite element modelling of a smart cantilever plate and comparison with experiments. Smart Materials and Structures 1996;5:165-70
[6] Tzou HS, Tseng CI. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter system. Journal of Sound and Vibration 1990;138:17-34.
[7] Robinson DH, Reddy JN. Analysis of piezoelectrically actuated beams using a layer-wise displacement theory. Computers and Structures 1991;41:265-79.
[8] Saravanos DA, Heyliger PR. Coupled layer-wise analysis of composite beams with embedded piezoelectric sensors and actuators.J Intell Mater Syst Struct 1995;6:350-63
[9] Crawley EF, de Luis J. Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal 1987;25:1373-85.
[10] LaPeter, C.M., Cudney, H.H., 1991, "Design methodology for piezoelectric actuators, Smart Structures and Materials", Proceedings of the Annual Meeting of the ASME, 16, 139-143.
[11] Dobrucki, A.B., Pruchnicki P., 1997, "Theory of piezoelectric axisymmetric bimorph", Sensors and Actuators A, 58, 203-212.
[12] Chandrashekhara, K., Bhatia, K., 1993, "Active buckling control of smart composite plates finite element analysis", Smart Materials and Structures, 2, 31-39.
[13] Chase, J.G., Bhashyam S., 1999, "Optimal stabilization of plate buckling", Smart Materials and Structures, 8, 204-211.
[14] Wang C.M., Reddy J.N., 2000, "Shear Deformable Beams and Plates", Oxford, Elsevier.
[15] Reddy J.N., 2004, " Mechanics of Laminated Composite Plates and Shells Theory and Analysis", New York, CRC.