Postbuckling of Axially Loaded Functionally Graded Cylindrical Panels with Piezoelectric Actuators in Thermal Environments
Publication: Journal of Engineering Mechanics
Volume 130, Issue 8
Abstract
A compressive postbuckling analysis is presented for a functionally graded cylindrical panel with piezoelectric actuators subjected to the combined action of mechanical, electrical, and thermal loads. The temperature field considered is assumed to be of uniform distribution over the panel surface and through the panel thickness and the electric field considers only the transverse component The material properties of the presently considered functionally graded materials (FGMs) are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, whereas the material properties of the piezoelectric layers are assumed to be independent of the temperature and the electric field. The governing equations are based on a higher-order shear deformation theory with a von Kármán-Donnell-type of kinematic nonlinearity. A boundary layer theory for shell buckling is extended to the case of hybrid FGM cylindrical panels of finite length. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the compressive postbuckling behavior of perfect and imperfect FGM cylindrical panels with fully covered piezoelectric actuators, under different sets of thermal and electrical loading conditions. The effects due to temperature rise, volume fraction distribution, applied voltages, panel geometric parameters, in-plane boundary conditions, as well as initial geometric imperfections are studied.
Get full access to this article
View all available purchase options and get full access to this article.
References
Chang, M. Y., and Librescu, L.(1995). “Postbuckling of shear-deformable flat and curved panels under combined loading conditions.” Int. J. Mech. Sci., 37(2), 121–143.
Chia, C. Y.(1987). “Nonlinear vibration and postbuckling of unsymmetrically laminated imperfect shallow cylindrical panels with mixed boundary conditions resting on elastic foundation.” Int. J. Eng. Sci., 25(4), 427–441.
He, X. Q., Liew, K. M., Ng, T. Y., and Sivashanker, S.(2002). “A FEM model for the active control of curved FGM shells using piezoelectric sensor/actuator layers.” Int. J. Numer. Methods Eng., 54(6), 853–870.
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(9), 1641–1655.
Kapuria, S., Sengupta, S., and Dumir, P. C.(1997). “Three-dimensional piezothermoelastic solution for shape control of cylindrical panel.” J. Therm. Stresses, 20(1), 67–85.
Kweon, J. H., and Hong, C. S.(1994). “An improved arc-length method for postbuckling analysis of composite cylindrical panels.” Comput. Struct., 53(3), 541–549.
Kweon, J. H., Hong, C. S., and Lee, I. C.(1995). “Postbuckling compressive strength of graphite/epoxy laminated cylindrical panels loaded in compression.” AIAA J., 33(2), 217–222.
Librescu, L., Nemeth, M. P., Starnes, J. H., and Lin, W.(2000). “Nonlinear response of flat and curved panels subjected to thermomechanical loads.” J. Therm. Stresses, 23(6), 549–582.
Liew, K. M., He, X. Q., Ng, T. Y., and Kitipornchai, S.(2002). “Active control of FGM shells subjected to a temperature gradient via piezoelectric sensor/actuator patches.” Int. J. Numer. Methods Eng., 55(6), 653–668.
Liew, K. M., He, X. Q., Ng, T. Y., and Kitipornchai, S.(2003a). “Finite element piezothermoelasticity analysis and the active control of FGM plates with integrated piezoelectric sensors and actuators.” Comput. Mech., 31(3–4), 350–358.
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. Methods Eng., 52(11), 1253–1271.
Liew, K. M., Sivashanker, S., He, X. Q., and Ng, T. Y.(2003b). “The modelling and design of smart structures using functionally graded materials and piezoelectrical sensor/actuator patches.” Smart Mater. Struct., 12(4), 647–655.
Liew, K. M., Yang, J., and Kitipornchai, S.(2003c). “Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading.” Int. J. Solids Struct., 40(15), 3869–3892.
Malik, M., and Noor, A. K.(2000). “Accurate determination of transverse normal stresses in hybrid laminated panels subjected to electro-thermo-mechanical loadings.” Int. J. Numer. Methods Eng., 47(1–3), 477–495.
Ng, T. Y., He, X. Q., and Liew, K. M.(2002). “Finite element modelling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators.” Comput. Mech., 28(1), 1–9.
Oh, I. K., Han, J. H., and Lee, I.(2000). “Postbuckling and vibration characteristics of piezolaminated composite plate subjected to thermo-piezoelectric loads.” J. Sound Vib., 233(1), 19–40.
Reddy, J. N., and Chin, C. D.(1998). “Thermoelastical analysis of functionally graded cylinders and plates.” J. Therm. Stresses, 21(6), 593–626.
Reddy, J. N., and Liu, C. F.(1985). “A higher-order shear deformation theory of laminated elastic shells.” Int. J. Eng. Sci., 23(3), 319–330.
Saravanos, D. A.(1997). “Mixed laminate theory and finite element for smart piezoelectric composite shell structures.” AIAA J., 35(8), 1327–1333.
Shen, H.-S.(2001a). “Postbuckling of axially-loaded laminated cylindrical shell with piezoelectric actuators.” Eur. J. Mech. A/Solids, 20(6), 1007–1022.
Shen, H.-S.(2001b). “Postbuckling of shear deformable cross-ply laminated cylindrical shells under combined external pressure and axial compression.” Int. J. Mech. Sci., 43(11), 2493–2523.
Shen, H.-S.(2002a). “Thermal postbuckling analysis of laminated cylindrical shells with piezoelectric actuators.” Compos. Struct., 55(1), 13–22.
Shen, H.-S.(2002b). “Postbuckling of laminated cylindrical shells with piezoelectric actuators under combined external pressure and heating.” Int. J. Solids Struct., 39(16), 4271–4289.
Shen, H.-S.(2002c). “Postbuckling analysis of axially-loaded functionally graded cylindrical panels in thermal environment.” Int. J. Solids Struct., 39(24), 5991–6010.
Shen, H.-S., and Chen, T.-Y.(1988). “A boundary layer theory for the buckling of thin cylindrical shells under external pressure.” Appl. Math. Mech., 9(6), 557–571.
Shen, H.-S, and Chen, T.-Y. (1990). “A boundary layer theory for the buckling of thin cylindrical shells under axial compression.” Advances in applied mathematics and mechanics in China, Vol. 2, W. Z. Chien and Z. Z. Fu, eds., International Academic Publishers, Beijing, 155–172.
Shen, H.-S., and Leung, A. Y. T.(2003). “Postbuckling of pressure-loaded functionally graded cylindrical panels in thermal environments.” J. Eng. Mech., 129(4), 414–425.
Sobel, L. H., Agarwal, B. L., and Weller, T.(1976). “Buckling of cylin-drical panels under axial compression.” Comput. Struct., 6(1), 29–35.
Touloukian, Y. S. (1967). Thermophysical properties of high temperature solid materials, McMillan, New York.
Vol’mir, A. A. (1967). “Flexible Plates and Shells.” Rep. No. AFFDL-TR-66-216, Air Force Flight Dynamics Lab, Wright-Patterson Air Force Base, Ohio.
Information & Authors
Information
Published In
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Feb 11, 2003
Accepted: Dec 23, 2003
Published online: Jul 15, 2004
Published in print: Aug 2004
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.