THERMOELASTIC VIBRATION AND BUCKLING ANALYSIS OF FUNCTIONALLY GRADED PIEZOELECTRIC CYLINDRICAL SHELLS

Abstract This paper presents the report of an investigation into thermoelastic vibration and buckling characteristics of the functionally graded piezoelectric cylindrical, where the functionally graded piezoelectric cylindrical shell is made from a piezoelectric material having gradient change along the thickness, such as piezoelectricity and dielectric coefficient et al. Here, utilizing Hamilton’s principle and the Maxwell equation with a quadratic variation of the electric potential along the thickness direction of the cylindrical shells and the first-order shear deformation theory, and taking into account both the direct piezoelectric effect and the converse piezoelectric effect, the thermoelastic vibration and buckling characteristics of functionally graded piezoelectric cylindrical shells composed of BaTiO3/PZT − 4, BaTiO3/PZT − 5A and BaTiO3/PVDF are, respectively, calculated. The effects of material composition (volume fraction exponent), thermal loading, external voltage applied and shell geometry parameters on the free vibration characteristics are described, and the axial critical load, critical temperature and critical control voltage are obtained.

[1]  Amâncio Fernandes,et al.  Structural response of composite plates equipped with piezoelectric actuators , 2006 .

[2]  G. G. Sheng,et al.  Effects of Thermal Loading on the Buckling and Vibration of Ring-Stiffened Functionally Graded Shell , 2007 .

[3]  N. Ganesan,et al.  Semianalytical finite element analysis of piezothermoelastic shells of revolution , 2005 .

[4]  Il-Kwon Oh,et al.  Resonant frequency and instability of multi-layered micro-resonators with initial imperfection subject to piezoelectric loads , 2007 .

[5]  C. Wang,et al.  Buckling of Vertical Cylindrical Shells Under Combined End Pressure and Body Force , 2003 .

[6]  J. Reddy.  Analysis of functionally graded plates , 2000 .

[7]  Ernian Pan,et al.  Free vibration response of two-dimensional magneto-electro-elastic laminated plates , 2006 .

[8]  N. Ganesan,et al.  Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells , 2005 .

[9]  Xinhua Zhu,et al.  Operational principle, fabrication and displacement characteristics of a functionally gradient piezoelectric ceramic actuator , 1995 .

[10]  Ernian Pan,et al.  Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach , 2006 .

[11]  P. Heyliger,et al.  Three-Dimensional Vibrations of Layered Piezoelectric Cylinders , 1998 .

[12]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[13]  J. N. Reddy,et al.  Large deformation analysis of functionally graded shells , 2007 .

[14]  G. G. Sheng,et al.  Thermomechanical vibration analysis of a functionally graded shell with flowing fluid , 2008 .

[15]  Zheng Zhong,et al.  Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate , 2003 .

[16]  Carl C. M. Wu,et al.  Piezoelectric Ceramics with Functional Gradients: A New Application in Material Design , 2005 .

[17]  H. P. Lee,et al.  Exact solutions for simply supported functionally graded piezoelectric laminates by Stroh-like formalism , 2006 .

[18]  J. N. Reddy,et al.  Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates , 1998 .

[19]  N. Ganesan,et al.  Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition , 2006 .

[20]  J. N. Reddy,et al.  THERMOMECHANICAL ANALYSIS OF FUNCTIONALLY GRADED CYLINDERS AND PLATES , 1998 .

[21]  Senthil S. Vel,et al.  Analysis of Static Deformation, Vibration and Active Damping of Cylindrical Composite Shells with Piezoelectric Shear Actuators , 2005 .

[22]  S.M.R. Khalili,et al.  Transient dynamic response of composite circular cylindrical shells under radial impulse load and axial compressive loads , 2005 .

[23]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[24]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[25]  Jun Zhu,et al.  DYNAMIC STABILITY OF FUNCTIONALLY GRADED PIEZOELECTRIC CIRCULAR CYLINDRICAL SHELLS , 2005 .

[26]  Ya-Peng Shen,et al.  A high order theory for functionally graded piezoelectric shells , 2002 .

[27]  K. Dong,et al.  Wave propagation characteristics in piezoelectric cylindrical laminated shells under large deformation , 2007 .

[28]  Z. Zhong,et al.  Exact Analysis of Simply Supported Functionally Graded Piezothermoelectric Plates , 2005 .

[29]  W. Q. Chen,et al.  FREE VIBRATIONS OF FUNCTIONALLY GRADED PIEZOCERAMIC HOLLOW SPHERES WITH RADIAL POLARIZATION , 2002 .