Active vibration control of functionally graded piezoelectric material plate

Abstract The present paper is concerned with active vibration control of functionally graded piezoelectric material (FGPM) plate using the piezoelectric material component as actuator. Using the classical laminated plate theory, the equation of motion for the FGPM plate is deduced based on Hamilton’s principle and Rayleigh-Ritz method. A velocity feedback control method is used to obtain an effective active damping in the vibration control. The influences of distribution type, volume fraction index and total volume fraction of piezoelectric material on the vibration control of FGPM plate are investigated. The calculation results show that the vibration control result is strongly affected by the distribution of piezoelectric materials in FGPM plate. It is also found that the total volume fraction, especially the volume fraction index play an important role in the vibration control. Furthermore, under the non-uniform electric field the effect of external voltage position on active vibration control is studied. The results show that one can obtain an excellent control effect by optimizing the structure of FGPM plate and the position of external control voltage.

[1]  Yoshihiro Narita,et al.  Vibration suppression for laminated cylindrical panels with arbitrary edge conditions , 2013 .

[2]  Ernian Pan,et al.  Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory , 2015 .

[3]  K. T. Ramesh,et al.  Dynamic characterization of layered and graded structures under impulsive loading , 2001 .

[4]  J. N. Reddy,et al.  Nonlinear analysis of microstructure-dependent functionally graded piezoelectric material actuators , 2014 .

[5]  Farzad Ebrahimi,et al.  Investigating the thermal environment effects on geometrically nonlinear vibration of smart functionally graded plates , 2010 .

[6]  Guirong Liu,et al.  Transient Responses in a Functionally Graded Cylindrical Shell to a Point Load , 2002 .

[7]  Sung-Cheon Han,et al.  Bending and vibration analysis of S-FGM microplates embedded in Pasternak elastic medium using the modified couple stress theory , 2014 .

[8]  Hirofumi Takahashi,et al.  Design of bimorph piezo-composite actuators with functionally graded microstructure , 2003 .

[9]  Weiqiu Chen,et al.  On free vibration of a functionally graded piezoelectric rectangular plate , 2002 .

[10]  Hung Nguyen-Xuan,et al.  Analysis of functionally graded plates using an edge-based smoothed finite element method , 2011 .

[11]  T. Y. Ng,et al.  Active control of FGM plates subjected to a temperature gradient: Modelling via finite element method based on FSDT , 2001 .

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

[13]  K. M. Liew,et al.  Active vibration control of FGM plates with piezoelectric layers based on Reddy’s higher-order shear deformation theory , 2016 .

[14]  Chunyu Li,et al.  Yoffe–type moving crack in a functionally graded piezoelectric material , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[15]  O. Rahmani,et al.  Vibration analysis of functionally graded piezoelectric nanoscale plates by nonlocal elasticity theory: An analytical solution , 2016 .

[16]  Sean J. O’Shea,et al.  Frequency coupling and energy trapping in mesa-shaped multichannel quartz crystal microbalances , 2004 .

[17]  K. M. Liew,et al.  Finite element method for the feedback control of FGM shells in the frequency domain via piezoelectric sensors and actuators , 2004 .

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

[19]  Steven W. Hudnut,et al.  Analysis of out-of-plane displacement and stress field in a piezocomposite plate with functionally graded microstructure , 2001 .

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

[21]  M. Farid,et al.  Large amplitude vibration of FGM plates in thermal environment subjected to simultaneously static pressure and harmonic force using multimodal FEM , 2016 .

[22]  Huaiwei Huang,et al.  Buckling and postbuckling of elastoplastic FGM plates under inplane loads , 2017 .

[23]  Masayuki Niino,et al.  Recent development status of functionally gradient materials. , 1990 .

[24]  Hui-Shen Shen,et al.  VIBRATION CHARACTERISTICS AND TRANSIENT RESPONSE OF SHEAR-DEFORMABLE FUNCTIONALLY GRADED PLATES IN THERMAL ENVIRONMENTS , 2002 .

[25]  Yoshihiro Narita,et al.  Multi-objective design for aeroelastic flutter of laminated shallow shells under variable flow angles , 2014 .

[26]  Xueli Han,et al.  Interacting multiple cracks in piezoelectric materials , 1999 .

[27]  T. Nguyen-Thoi,et al.  Analysis and control of FGM plates integrated with piezoelectric sensors and actuators using cell-based smoothed discrete shear gap method (CS-DSG3) , 2017 .

[28]  M. Sadighi,et al.  Static and dynamic analysis of functionally graded piezoelectric plates under mechanical and electrical loading , 2011 .