Smart panels for active structural acoustic control

This paper presents a theoretical study comparing the sound transmission through different types of smart panels. All of the smart panels considered consist of an aluminium plate of dimensions 247 278 1 mm with embedded structural sensors and actuators. The analysis has focused on systems were simple single channel feedback controllers can be used so that self-contained, compact and lightsensor-controller-actuator devices can be built. The panels studied can be classified as being between two limiting cases: first, a panel with a collocated volume velocity sensor and uniform force actuator pair connected via a single channel fixed gain feedback control; second a panel with a 44 grid of collocated point velocity sensors and point force actuators each controlled by a decentralised single channel fixed gain feedback control system. For each type of panel the control effectiveness obtained with ideal distributed or local sensor and actuator systems have been contrasted with those of more realistic devices in which the sensing system is made either of a large piezoelectric distributed film or an array of accelerometer point transducers, and the actuation is given either by a large piezoelectric film or an array of small piezoelectric patches. The control effectiveness, stability and robustness of each control configuration have been discussed. Also, some practical problems related to the construction of the smart panels have been briefly described.

[1]  C. K. Lee Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships , 1990 .

[2]  Jian-Qiao Sun,et al.  LETTER TO THE EDITOR: SOME OBSERVATIONS ON PHYSICAL DUALITY AND COLOCATION OF STRUCTURAL CONTROL SENSORS AND ACTUATORS , 1996 .

[3]  Michael J. Brennan,et al.  Active vibroacoustic control with multiple local feedback loops. , 2002 .

[4]  Stephen J. Elliott,et al.  Modal response of a beam with a sensor–actuator pair for the implementation of velocity feedback control , 2005 .

[5]  Paul Sas,et al.  Experimental validation of a collocated PVDF volume velocity sensor/actuator pair , 2003 .

[6]  Daniel G. Cole,et al.  Adaptive Compensation of Piezoelectric Sensoriactuators , 1994 .

[7]  P. Laura,et al.  Comments on “Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part I: Governing equations and reciprocal relationships” [J. Acoust. Soc. Am. 87, 1144–1158 (1990)] , 1991 .

[8]  André Preumont,et al.  Responsive systems for active vibration control , 2002 .

[9]  Chris R. Fuller,et al.  Active control of noise transmission through rectangular plates using multiple piezoelectric or point force actuators , 1991 .

[10]  Stephen J. Elliott,et al.  Active control of sound transmission , 2001 .

[11]  Gibbs,et al.  Radiation modal expansion: application to active structural acoustic control , 2000, The Journal of the Acoustical Society of America.

[12]  Stephen J. Elliott,et al.  A panel with matched polyvinylidene fluoride volume velocity sensor and uniform force actuator for the active control of sound transmission , 2001 .

[13]  P. Gardonio,et al.  Matched piezoelectric double sensor/actuator pairs for beam motion control , 2003 .

[14]  S. Elliott,et al.  Radiation modes and the active control of sound power , 1993 .

[15]  Shawn E. Burke,et al.  Modeling approach for two‐dimensional distributed transducers of arbitrary spatial distribution , 1996 .

[16]  Gerhard M. Sessler,et al.  Piezoelectricity in polyvinylidenefluoride , 1981 .

[17]  S. Elliott,et al.  Active control of sound radiation using volume velocity cancellation , 1995 .

[18]  M. Balas Direct Velocity Feedback Control of Large Space Structures , 1979 .

[19]  Stephen J. Elliott,et al.  Volume velocity vibration control of a smart panel using a uniform force actuator and an accelerometer array , 2002 .

[20]  Mehdi Ahmadian,et al.  Recent advances in the use of piezoceramics for vibration suppression , 2001 .

[21]  Stephen J. Elliott,et al.  Analysis and measurement of a matched volume velocity sensor and uniform force actuator for active structural acoustic control , 2001 .

[22]  André Preumont,et al.  Spatial filters in structural control , 2003 .

[23]  Stephen J. Elliott,et al.  Driving point and transfer mobility matrices for thin plates excited in flexure , 1998 .

[24]  Benoit Petitjean,et al.  Feedback controllers for active vibration suppression , 1996 .

[25]  Norman M. Wereley,et al.  Quasi-steady Bingham plastic analysis of an electrorheological flow mode bypass damper with piston bleed , 2003 .