Refined finite element for piezoelectric laminated composite beams

Here, a $C^1$ finite element is formulated for analyzing the bending/torsional behavior of rectangular piezoelectric laminated composite beams. The formulation includes transverse shear, warping due to torsion and electro-elastic coupling effects. The shear strain is represented by a cosine function of a higher order in nature, thus avoiding shear correction factors. The warping function obtained from a three-dimensional elasticity solution is incorporated in the present model. The distribution of the electric potential through the thickness is accounted for in the formulation based on the observation of the three-dimensional solution. The efficacy of the laminated piezoelectric composite element is tested comparing the results with those of analytical and three-dimensional finite element models.

[1]  Jiashi Yang,et al.  Equations for thick elastic plates with partially electroded piezoelectric actuators and higher order electric fields , 1999 .

[2]  T. Jiang,et al.  STRESS DISTRIBUTION AND DEFORMATION OF ADHESIVE-BONDED LAMINATED COMPOSITE BEAMS , 1989 .

[3]  J. N. Reddy,et al.  A finite-element model for piezoelectric composite laminates , 1997 .

[4]  Aditi Chattopadhyay,et al.  Aeroelastic tailoring using piezoelectric actuation and hybrid optimization , 1999 .

[5]  D. Spearritt,et al.  TORSIONAL VIBRATION CONTROL OF A FLEXIBLE BEAM USING LAMINATED PVDF ACTUATORS , 1996 .

[6]  John Anthony Mitchell,et al.  A refined hybrid plate theory for composite laminates with piezoelectric laminae , 1995 .

[7]  Roger Ohayon,et al.  PIEZOELECTRIC ACTIVE VIBRATION CONTROL OF DAMPED SANDWICH BEAMS , 2001 .

[8]  P. K. Sinha,et al.  Active vibration control of composite sandwich beams with piezoelectric extension-bending and shear actuators , 2002 .

[9]  D. Saravanos,et al.  Mechanics and Computational Models for Laminated Piezoelectric Beams, Plates, and Shells , 1999 .

[10]  Giovanni Caruso,et al.  A layer-wise Reissner–Mindlin-type model for the vibration analysis and suppression of piezoactuated plates , 2001 .

[11]  Robert C. Wetherhold,et al.  Piezoelectric PZT/epoxy Composites for Controlling Torsional Motion , 1994 .

[12]  Olivier Polit,et al.  AC1 finite element including transverse shear and torsion warping for rectangular sandwich beams , 1999 .

[13]  Meiling Zhu,et al.  Modeling of torsional vibration induced by extension-twisting coupling of anisotropic composite laminates with piezoelectric actuators , 2002 .

[14]  A. K. Noor,et al.  Assessment of computational models for thermoelectroelastic multilayered plates , 1995 .

[15]  N. Hu,et al.  FEM modeling of adaptive composite structures using a reduced higher-order plate theory via penalty functions , 2001 .

[16]  I. Chopra,et al.  Bending and torsion models of beams with induced-strain actuators , 1996 .

[17]  Ayech Benjeddou,et al.  Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .

[18]  S. Kumar,et al.  Piezothermoelastic solution for angle-ply laminated plate in cylindrical bending , 1998 .

[19]  Romesh C. Batra,et al.  Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuators/Sensors , 2000 .

[20]  M. Touratier,et al.  A rectangular finite element for analysing composite multilayered shallow shells in statics, vibration and buckling , 1993 .

[21]  Singiresu S Rao,et al.  Recent Advances in Sensing and Control of Flexible Structures Via Piezoelectric Materials Technology , 1999 .

[22]  R. Batra,et al.  Higher-Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational Principle , 2002 .

[23]  C. I. Tseng,et al.  Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach , 1990 .

[24]  Unyime O. Akpan,et al.  Finite-element-based design tool for smart composite structures , 1997, Smart Structures.

[25]  B. Samanta,et al.  Static analysis of an intelligent structure by the finite element method , 1994 .

[26]  B. Samanta,et al.  Exact solution for static analysis of an intelligent structure under cylindrical bending , 1993 .

[27]  A. Noor,et al.  Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates , 1995 .