Active Vibration Suppression of Sandwich Beams using Piezoelectric Shear Actuators: Experiments and Numerical Simulations

This article deals with the experimental and numerical assessment of the vibration suppression of smart structures using piezoelectric shear actuators. Experimental results are presented for an adaptive sandwich cantilever beam that consists of aluminum facings and a core composed of two piezoelectric shear actuators and foam. The electric field is applied perpendicular to the poling direction of the piezoelectric actuators to cause transverse shear deformation of the sandwich beam. Active vibration suppression is achieved using either positive position feedback or strain rate feedback. The control system is implemented in real-time using Matlab/Simulink and a dSPACE digital controller. First, the frequency response of the adaptive beam is investigated by using one shear actuator to excite the beam and the other to control its vibration. Parametric studies are conducted to assess the influence of controller parameters on the frequency response of the system. The experimental frequency response function compares well with numerical simulations using the finite element method. Next, the effectiveness of the active vibration suppression system in the time domain is analyzed using a proof-mass actuator that is attached to the tip of the cantilever beam to provide a repeatable vibration input. Experiments and numerical simulations show that the shear actuators can provide significant reduction in tip acceleration and settling time.

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

[2]  T. K. Caughey,et al.  On the stability problem caused by finite actuator dynamics in the collocated control of large space structures , 1985 .

[3]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1987 .

[4]  G. P. Eatwell,et al.  Active control of vibration , 1992 .

[5]  S. Newman,et al.  Active Damping Control of a Flexible Space Structure Using Piezoelectric Sensors and Actuators , 1992 .

[6]  Ephrahim Garcia,et al.  A Self-Sensing Piezoelectric Actuator for Collocated Control , 1992 .

[7]  Ephrahim Garcia,et al.  The Application of Smart Structures to the Vibration Suppression Problem , 1992 .

[8]  C. Sun,et al.  Use of thickness-shear mode in adaptive sandwich structures , 1995 .

[9]  C. Sun,et al.  Formulation of an adaptive sandwich beam , 1996 .

[10]  Philip A. Nelson,et al.  Active control of vibration, 1st edition , 1996 .

[11]  Qiming Zhang,et al.  Piezoelectric actuator generating torsional displacement from piezoelectric d15 shear response , 1998 .

[12]  G. Song,et al.  Vibration suppression of a spacecraft flexible appendage using smart material , 1998 .

[13]  C. Sun,et al.  Analysis of a sandwich plate containing a piezoelectric core , 1999 .

[14]  Roger Ohayon,et al.  New Shear Actuated Smart Structure Beam Finite Element , 1999 .

[15]  Daniel J. Inman,et al.  The relationship between positive position feedback and output feedback controllers , 1999 .

[16]  Roger Ohayon,et al.  Parametric Analysis of the Vibration Control of Sandwich Beams Through Shear-Based Piezoelectric Actuation , 1999 .

[17]  A. Benjeddou,et al.  Piezoelectric Transverse Shear Actuation and Sensing of Plates, Part 2: Application and Analysis , 2001 .

[18]  Romesh C. Batra,et al.  Exact Solution for Rectangular Sandwich Plates with Embedded Piezoelectric Shear Actuators , 2001 .

[19]  Romesh C. Batra,et al.  Exact solution for the cylindrical bending of laminated plates with embedded piezoelectric shear actuators , 2001 .

[20]  A. Benjeddou,et al.  Piezoelectric Transverse Shear Actuation and Sensing of Plates, Part 1: A Three-Dimensional Mixed State Space Formulation , 2001 .

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

[22]  Jean-François Deü,et al.  A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates , 2002 .

[23]  William H. Press,et al.  Numerical recipes in C , 2002 .

[24]  Osama J. Aldraihem,et al.  Exact deflection solutions of beams with shear piezoelectric actuators , 2003 .

[25]  Senthil S. Vel,et al.  Exact solution for the vibration and active damping of composite plates with piezoelectric shear actuators , 2005 .

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