THERMO-PIEZOELECTRIC EFFECTS ON THE POSTBUCKLING OF AXIALLY-LOADED HYBRID LAMINATED CYLINDRICAL PANELS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (1): 24-38.

• Articles • Previous Articles Next Articles

THERMO-PIEZOELECTRIC EFFECTS ON THE POSTBUCKLING OF AXIALLY-LOADED HYBRID LAMINATED CYLINDRICAL PANELS

SHEN Hui-shen

School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received:2002-05-14 Revised:2003-07-26 Online:2004-01-18 Published:2004-01-18
Supported by:
the National Natural Science Foundation of China(50375091)

Abstract

Abstract: A compressive postbuckling analysis is presented for a laminated cylinderical panel with piezoelectric actuators subjected to the combined action of mechanical, electrical and thermal loads. The temperature field considered is assumed to be a uniform distribution over the panel surface and through the panel thickness and the electric field is assumed to be the transverse component E_Z only. The material properties are assumed to be independent of the temperature and the electric field. The governing equations are based on the classical shell theory with von Kármán-Donnell-type of kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A boundary layer theory of shell buckling,which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range,and initial geometric imperfections of the shell,is extended to the case of hybrid laminated cylindrical panels of finite length. 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, cross-ply laminated cylindrical thin panels with fully covered or embedded piezoelectric actuators under different sets of thermal and electrical loading conditions.The effects played by temperature rise,applied voltage,stacking sequence,the character of in-plane boundary conditions,as well as initial geometric imperfections are studied.

2010 MSC Number:

O343

SHEN Hui-shen. THERMO-PIEZOELECTRIC EFFECTS ON THE POSTBUCKLING OF AXIALLY-LOADED HYBRID LAMINATED CYLINDRICAL PANELS. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 24-38.

TrendMD

References

[1] Saravanos D A. Mixed laminate theory and finite element for smart piezoelectric composite shell structures[J]. AIAA Journal, 1997,35(8): 1327-1333.
[2] Kapuria S, Sengupta S, Dumir P C. Three-dimensional piezothermoelastic solution for shape control of cylindrical panel[J]. Journal of Thermal Stresses, 1997,20(1):67-85.
[3] Malik M, Noor A K. Accurate determination of transverse normal stresses in hybrid laminated panels subjected to electro-thermo-mechanical loadings[J]. International Journal for Numerical Methods in Engineerning ,2000,47(1):477-495.
[4] Oh I K, Han J H, Lee I. Postbuckling and vibration characteristics of piezolaminated composite plate subjected to thermo-piezoelectric loads[J]. Journal of Sound and Vibration ,2000,233(1): 19-40.
[5] SHEN Hui-shen. Postbuckling of axially-loaded laminated cylindrical shells with piezoelectric actuators [J]. European Journal of Mechanics A/Solids, 2001,20 (6): 1007-1022.
[6] SHEN Hui-shen. Thermal postbuckling analysis of laminated cylindrical shells with piezoelectric actuators[J]. Composite Structures ,2002,55(1): 13-22.
[7] SHEN Hui-shen,Chen Tie-yun. A boundary layer theory for the buckling of thin cylindrical shells under external pressure[J] . Applied Mathematics and Mechanics, 1998,9(6):557-571.
[8] SHEN Hui-shen, CHEN Tie-yun. A boundary layer theory for the buckling of thin cylindrical shells under axial compression[A]. In: CHIEN Wei-zang, FU Zi-zhi Eds. Advances in Applied Mathematics and Mechanics in China [C]. Vol 2. Beijing: International Academic Publishers, 1990,155-172.
[9] Tsai S W,Hahn H T. Introduction to Composite Materials[M]. Westport,CT:Technomic Publishng Co, 1980.
[10] Guide to Modern Piezoelectric Ceramics [M]. Bedford: Morgan Matroc Inc, 1993.
[11] Vol' mir A A. Flexible Plates and Shells[R]. AFFDL-TR-66-216,1967.
[12] Carrera E. The effects of shear deformation and curvature on the buckling and vibrations of crossply laminated composite shells[J]. Journal of Sound and Vibration, 1991,150(3):405-433.
[13] Turvey G J. Buckling of simply supported cross-ply cylindrical panels on elastic foundations[J].Aeronautical Journal, 1977,81 (794): 88-91.
[14] Zhang Y, Matthews F L. Large deflection behavior of simply supported laminatd panels under inplane loading[J]. Journal of Applied Mechanics ASME , 1985,52:553-558.
[15] Ye J, Soldatos K P. Three-dimensional buckling analysis of laminated composite hollow cylinders and cylindrical panels[J]. International Journal of Solids and Structures, 1995,32(13): 1949-1962.
[16] SHEN Hui-shen. Postbuckling of axially-loaded shear deformable laminated cylindrical panels[J].Journal of Strain Analysis for Engineering Design, 2002,37 (5): 413-425.

THERMO-PIEZOELECTRIC EFFECTS ON THE POSTBUCKLING OF AXIALLY-LOADED HYBRID LAMINATED CYLINDRICAL PANELS

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 2

Recommended Articles

Metrics

Comments

[1]	REN Jiu-Sheng;CHENG Chang-Jun. Non-uniqueness and stability of two-family fiber-reinforced incompressible hyper-elastic sheet under equibiaxial loading [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(12): 1513-1520.
[2]	REN Jiu-sheng;CHENG Chang-jun. DYNAMICAL FORMATION OF CAVITY IN A COMPOSED HYPER-ELASTIC SPHERE [J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1220-1227.