Modal structural acoustic sensing with minimum number of optimally placed piezoelectric sensors

Abstract Structural acoustic sensing is a method of obtaining radiated sound pressure from a vibrating structure using vibration information. Structural acoustic sensing is used in active structural acoustic control for attenuating the sound radiated from a structure. In this paper, a new approach called Modal Structural Acoustic Sensing (MSAS) is proposed for estimating the pressure radiated from a vibrating cylindrical shell using piezoelectric sensors. The motion equations of a cylindrical shell in conjunction with piezoelectric patches are derived based on the Donnel-Mushtari shell theory. The locations of the piezoelectric sensors are optimized by the Genetic Algorithm based on maximizing the observability gramian matrix. The Kirchhoff-Helmholtz integral is used for estimating the sound pressure radiated from the cylindrical shell. Numerical simulations are performed to demonstrate the advantages of the proposed approach in comparison with previous methods such as discrete structural acoustic sensing and distributed modal sensors. Results show that the MSAS can increase the estimation accuracy and decrease the controller dimensionality and the number of required sensors.

[1]  Dong-Ho Yang,et al.  Active vibration control of a ring-stiffened cylindrical shell in contact with unbounded external fluid and subjected to harmonic disturbance by piezoelectric sensor and actuator , 2013 .

[2]  Frank Fahy,et al.  Sound and Structural VibrationRadiation, Transmission and Response , 2007 .

[3]  A. Hać,et al.  Sensor And Actuator Location In Motion Control Of Flexible Structures , 1993 .

[4]  Scott D. Snyder,et al.  Deriving time-domain models of structural-acoustic radiation into free space , 2005 .

[5]  Boling Xu,et al.  A piezoelectric array for sensing radiation modes , 2003 .

[6]  Chris R. Fuller,et al.  Active control of sound radiation from cylinders with piezoelectric actuators and structural acoustic sensing , 1999 .

[7]  André Preumont,et al.  Piezoelectric Array Sensing for Real-Time, Broad-Band Sound Radiation Measurement , 1999 .

[8]  Francis C. Moon,et al.  Modal Sensors/Actuators , 1990 .

[9]  A. Leissa,et al.  Vibration of shells , 1973 .

[10]  Seok Heo,et al.  Dynamic modelling and active vibration controller design for a cylindrical shell equipped with piezoelectric sensors and actuators , 2009 .

[11]  Mauro Caresta.  Active control of sound radiated by a submarine in bending vibration , 2011 .

[12]  D. S. Li,et al.  The design of synthesized structural acoustic sensors for active control of interior noise with experimental validation , 2010 .

[13]  Chris R. Fuller,et al.  Advanced time domain wave‐number sensing for structural acoustic systems. Part III. Experiments on active broadband radiation control of a simply supported plate , 1995 .

[14]  Mohammad Danesh,et al.  Optimal locations and orientations of piezoelectric transducers on cylindrical shell based on gramians of contributed and undesired Rayleigh–Ritz modes using genetic algorithm , 2014 .

[15]  Seung-Bok Choi,et al.  Vibration control of smart hull structure with optimally placed piezoelectric composite actuators , 2011 .

[16]  Miguel C. Junger,et al.  Sound, Structures, and Their Interaction , 1972 .

[17]  D. Leo.  Engineering Analysis of Smart Material Systems , 2007 .

[18]  Colin H. Hansen,et al.  Structural radiation mode sensing for active control of sound radiation into enclosed spaces , 1999 .

[19]  R. A. Burdisso,et al.  A wavenumber domain approach to the active control of structure-borne sound , 1991 .

[20]  Mohammad Danesh,et al.  Theoretical and Experimental Study of Active Vibration Control of a Cylindrical Shell Using Piezoelectric Disks , 2015 .

[21]  Julien Maillard,et al.  Advanced time domain wave‐number sensing for structural acoustic systems. I. Theory and design , 1994 .

[22]  Robert L. Clark,et al.  Experiments on Active Control of Plate Vibration Using Piezoelectric Actuators and Polyvinylidene Fluoride (PVDF) Modal Sensors , 1994 .

[23]  Bor-Tsuen Wang.  The PVDF-based wave number domain sensing techniques for active sound radiation control from a simply supported beam , 1998 .

[24]  Chris R. Fuller,et al.  Advanced time domain wave‐number sensing for structural acoustic systems. II. Active radiation control of a simply supported beam , 1994 .