Dynamic Analysis of Piezoelectric Fiber Composite in an Active Beam Using Homogenization and Finite Element Methods

The purpose of this work is to point out the improvement, which could be achieved through use of piezoelectric fiber composite elements in place of piezoelectric patch elements, in structural vibration systems. Therefore, we review the homogenization method for prediction of the overall properties of piezoelectric fiber composite and we propose the Periodic Medium Homogenization model. The results indicated a good correlation between our proposed model and the MoriTanaka approach. Then we considered the cases of incorporated bulk piezoelectric and piezoelectric fiber composite in two epoxy cantilevered beams loaded by static and dynamic forces. The numerical results show that, with the piezoelectric fiber composite, one can adapt the electromechanical coupling coefficient for a specific task by simply changing the fiber content. The results also suggest that increasing fiber content above 35% for the analyzed beam, will effectively result in reduced performance of the active structure.

[1]  Y. Benveniste.  On the micromechanics of fibrous piezoelectric composites , 1994 .

[2]  Darryll J. Pines,et al.  Active control of bending wave propagation at acoustic frequencies , 1990 .

[3]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[4]  K. Schulgasser.  Relationships between the effective properties of transversely isotropic piezoelectric composites , 1992 .

[5]  Don Berlincourt,et al.  3 – Piezoelectric and Piezomagnetic Materials and Their Function in Transducers , 1964 .

[6]  N. Hagood,et al.  Piezoelectric Fiber Composites with Interdigitated Electrodes , 1997 .

[7]  Leslie E. Cross,et al.  Composite Piezoelectric Transducers , 1980 .

[8]  Grant P. Steven,et al.  A Review on the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures , 1998 .

[9]  A. Grekov,et al.  Effective properties of a transversely isotropic piezocomposite with cylindrical inclusions , 1989 .

[10]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[11]  T. Bailey,et al.  Distributed Piezoelectric-Polymer Active Vibration Control of a Cantilever Beam , 1985 .

[12]  J. Pastor.  Homogenization of linear piezoelectric media , 1997 .

[13]  Martin L. Dunn,et al.  Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites , 1993 .

[14]  N. Rogacheva.  The Theory of Piezoelectric Shells and Plates , 1994 .

[15]  Wang Biao,et al.  Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material , 1992 .

[16]  Rodney Hill,et al.  Theory of mechanical properties of fibre-strengthened materials: I. Elastic behaviour , 1964 .

[17]  N. Yu.  Micromechanical Modeling of Effective Electro-Thermo-Elastic Properties of two-Phase Piezoelectric Composites , 1995 .

[18]  R. Pyrz,et al.  IUTAM Symposium on Microstructure-Property Interactions in Composite Materials : proceedings of the IUTAM symposium held in Aalborg, Denmark, 22-25 August 1994 , 1995 .

[19]  Y. Benveniste,et al.  Uniform fields and universal relations in piezoelectric composites , 1992 .

[20]  Mark J. Beran,et al.  Statistical Continuum Theories , 1968 .

[21]  N. Hagood,et al.  Anisotropic Actuation with Piezoelectric Fiber Composites , 1995 .