Deflection control of functionally graded material beams with bonded piezoelectric sensors and actuators

An analytical solution is developed for analysis of functionally graded material (FGM) beams containing two layers of piezoelectric material, used as sensor and actuator. The properties of FGM layer are functionally graded in the thickness direction according to the volume fraction power law distribution. The equations of motion are derived by using Hamilton's principle, based on the first-order shear deformation theory. By using a displacement potential function, and assumption of harmonic vibration, the equations of motion have been solved analytically. Finally, the effects of FGM constituent volume fraction in the peak responses for various volume fraction indexes have been graphically illustrated.

[1]  R. Garcia Lage,et al.  Modelling of piezolaminated plates using layerwise mixed finite elements , 2002 .

[2]  J. N. Reddy,et al.  Three-Dimensional Solutions of Smart Functionally Graded Plates , 2001 .

[3]  J. N. Reddy,et al.  On laminated composite plates with integrated sensors and actuators , 1999 .

[4]  K. M. Liew,et al.  Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates , 2003 .

[5]  C. W. Lim,et al.  On functionally graded beams with integrated surface piezoelectric layers , 2006 .

[6]  K. Chandrashekhara,et al.  Thermally induced vibration suppression of laminated plates with piezoelectric sensors and actuators , 1995 .

[7]  Santosh Kapuria,et al.  Assessment of coupled 1D models for hybrid piezoelectric layered functionally graded beams , 2006 .

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

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

[10]  Hui-Shen Shen,et al.  Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments , 2006 .

[11]  Ya-Peng Shen,et al.  Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending , 1996 .

[12]  Yen-Ling Chung,et al.  MECHANICAL BEHAVIOR OF FUNCTIONALLY GRADED MATERIAL PLATES UNDER TRANSVERSE LOAD-PART I: ANALYSIS , 2006 .

[13]  K. Liew,et al.  Active control of FGM plates with integrated piezoelectric sensors and actuators , 2001 .

[14]  Yoshihiro Ootao,et al.  THREE-DIMENSIONAL TRANSIENT PIEZOTHERMOELASTICITY IN FUNCTIONALLY GRADED RECTANGULAR PLATE BONDED TO A PIEZOELECTRIC PLATE , 2000 .

[15]  Cao Zhi-yuan,et al.  Free vibration of FGM cylindrical shells with holes under various boundary conditions , 2007 .

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

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

[18]  D. H. Robbins,et al.  Analysis of piezoelectrically actuated beams using a layer-wise displacement theory , 1991 .

[19]  J. Mackerle.  BIBLIOGRAPHY: Smart materials and structures - a finite-element approach: a bibliography (1986-1997) , 1998 .

[20]  K. M. Liew,et al.  The modelling and design of smart structures using functionally graded materials and piezoelectrical sensor/actuator patches , 2003 .