Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30982
Stability of Functionally Graded Beams with Piezoelectric Layers Based on the First Order Shear Deformation Theory

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


Stability of functionally graded beams with piezoelectric layers subjected to axial compressive load that is simply supported at both ends is studied in this paper. 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, functionally graded index and piezoelectric thickness on the critical buckling load of beam are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data.

Keywords: Stability, functionally graded beam, piezoelectric layer, First order shear deformation theory

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1325


[1] J. Ari-Gur, T. Weller, J. Singer, Experimental and theoretical studies of columns under axial impact, Int. J. Solid Struct. 18 (7) (1982) 619- 641.
[2] H.E. Lindberg, A.L. Florence, Dynamic Pulse Buckling, Martinus Nijhoff Publishers, The Netherlands, 1987.
[3] N. Jones, Recent studies on the dynamic plastic behavior of structures, Appl. Mech. Rev. 42 (4) (1989) 95-115.
[4] Meressi T, Paden B. Buckling control of a flexible beam using piezoelectric actuators. J Guidance Control Dyn 1993;16(5):977-80.
[5] Thompson SP, Loughlan J. The active buckling control of some composite column strips using piezoelectric actuators. Compos Struct 1995;32:59-67.
[6] de Faria AR, de Almeida SFM. Enhancement of pre-buckling behavior of composite beams with geometric imperfections using piezoelectric actuators. Composites Part B: Eng 1999;30(1):43-50.
[7] Tzou HS, Wan GC. Distributed structural dynamics control of flexible manipulatorsÔÇöI. Structural dynamics and distributed viscoelastic actuator. Computers and Structures 1990;35(6):669-677.
[8] Ha SK, Keilers C, Chang FK. Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators AIAA Journal 1992;30(3):772-780.
[9] Abramovich H, Livshits A. Dynamic behavior of cross-ply laminated beams with piezoelectric actuators. Composite Structures 1993;25:371-379.
[10] 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.
[11] 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.
[12] Robinson DH, Reddy JN. Analysis of piezoelectrically actuated beams using a layer-wise displacement theory. Computers and Structures 1991;41:265-79.
[13] 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.
[14] Crawley EF, de Luis J. Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal 1987;25:1373-85.
[15] 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.
[16] Dobrucki, A.B., Pruchnicki P., 1997, "Theory of piezoelectric axisymmetric bimorph", Sensors and Actuators A, 58, 203-212.
[17] Chandrashekhara, K., Bhatia, K., 1993, "Active buckling control of smart composite plates finite element analysis", Smart Materials and Structures, 2, 31-39.
[18] Chase, J.G., Bhashyam S., 1999, "Optimal stabilization of plate buckling", Smart Materials and Structures, 8, 204-211.
[19] Reddy J.N. and Praveen G.N., Nonlinear Transient Thermoelastic Analysis of Functionally Graded Ceramic-metal Plates, International Journal of. Solids and Structures, Vol. 35, 1998, pp. 4467-4476.
[20] Wang C.M., Reddy J.N., 2000, "Shear Deformable Beams and Plates", Oxford, Elsevier.
[21] Reddy J.N., 2004, " Mechanics of Laminated Composite Plates and Shells Theory and Analysis", New York, CRC.
[22] Karami Khorram abadi M., Khazaeinejad P. and Jenabi J., "Mechanical Buckling of Functionally graded Beam with Piezoelectric Actuators", NCME, 2008.