Active control of cylindrical shells using the weighted sum of spatial gradients control metric

Often it is desired to reduce the sound radiated from vibrating structures, including cylindrical shells. Active structural acoustic control (ASAC) provides a means to control the structural radiation at low frequencies efficiently and effectively. The technique of using the weighted sum of spatial gradients (WSSG) as a control metric has been developed previously for flat structures. This paper will investigate control of WSSG for cylindrical shells. There are specific features associated with WSSG that tend to provide effective control of radiated sound power. The method has also been shown to be quite robust with respect to error sensor location. The effectiveness of WSSG control has been investigated through the use of radiation modes for cylindrical shells, which allows us to determine the radiated sound power both before and after control. Results using WSSG control will be reported, along with comparisons of the results obtained with some of the other possible control approaches reported previously.

[1]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[2]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[3]  L. Donnell,et al.  Stability of Thin-Walled Tubes Under Torsion , 1934, Journal of Fluids Engineering.

[4]  E. Reissner A New Derivation of the Equations for the Deformation of Elastic Shells , 1941 .

[5]  M. Junger Radiation Loading of Cylindrical and Spherical Surfaces , 1952 .

[6]  M. Junger The Physical Interpretation of the Expression for an Outgoing Wave in Cylindrical Coordinates , 1953 .

[7]  D. H. Robey On the Radiation Impedance of an Array of Finite Cylinders , 1955 .

[8]  J. Radok,et al.  The theory of thin shells , 1959 .

[9]  W. Flügge Handbook of Engineering Mechanics , 1962 .

[10]  K. Forsberg A review of analytical methods used to determine the modal characteristics of cylindrical shells , 1966 .

[11]  M. Junger Surface Pressures Generated by Pistons on Large Spherical and Cylindrical Baffles , 1967 .

[12]  A. Kalnins,et al.  Thin elastic shells , 1967 .

[13]  W. Flügge Theory of Shells , 1972 .

[14]  S. Rinehart,et al.  Vibration of simply supported cylindrical shells with longitudinal stiffeners , 1972 .

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

[16]  W. Soedel Vibrations of shells and plates , 1981 .

[17]  J. L. Sanders,et al.  Theory of thin elastic shells , 1982 .

[18]  J. Tichy,et al.  Active attenuation of propeller blade passage noise , 1984 .

[19]  F. Fahy Sound and structural vibration , 1985 .

[20]  C. Fuller,et al.  Experiments on reduction of propeller induced interior noise by active control of cylinder vibration , 1987 .

[21]  R. J. Bernhard,et al.  Generalized method of predicting optimal performance of active noise controllers , 1989 .

[22]  R. J. Bernhard,et al.  Digital control of local sound fields in an aircraft passenger compartment , 1990 .

[23]  D. Guicking On the invention of active noise control by Paul Lueg , 1990 .

[24]  G. Borgiotti The power radiated by a vibrating body in an acoustic fluid and its determination from boundary measurements , 1990 .

[25]  Chris R. Fuller,et al.  Active control of propeller-induced noise fields inside a flexible cylinder , 1990 .

[26]  D. Photiadis The relationship of singular value decomposition to wave‐vector filtering in sound radiation problems , 1990 .

[27]  C. Fuller,et al.  Experiments on active control of structurally radiated sound using multiple piezoceramic actuators , 1990 .

[28]  Chris R. Fuller,et al.  Active structural acoustic control and smart structures , 1991 .

[29]  G. Koopmann,et al.  A design method for achieving weak radiator structures using active vibration control. , 1991 .

[30]  A. Sarkissian Acoustic radiation from finite structures , 1991 .

[31]  G. Koopmann,et al.  A Boundary Element Approach to Optimization of Active Noise Control Sources on Three-Dimensional Structures , 1991 .

[32]  S. J. Kim,et al.  Optimal design of piezoactuators for active noise and vibration control , 1991 .

[33]  C. Fuller,et al.  A model reference approach for implementing active structural acoustic control. , 1991 .

[34]  Stephen J. Elliott,et al.  Active Control of the Transmission of Sound Through a Thin Cylindrical Shell, Part I: the Minimization of Vibrational Energy , 1993 .

[35]  G. Borgiotti,et al.  The determination of the acoustic far field of a radiating body in an acoustic fluid from boundary measurements , 1993 .

[36]  C. Fuller,et al.  Active control of coupled wave propagation in fluid-filled elastic cylindrical shells , 1993 .

[37]  S. Snyder,et al.  On feedforward active control of sound and vibration using vibration error signals , 1993 .

[38]  C. Fuller,et al.  Active control of sound radiation from a simply supported beam: Influence of bending near‐field waves , 1993 .

[39]  S.J. Elliott,et al.  Active noise control , 1993, IEEE Signal Processing Magazine.

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

[41]  G. Koopmann,et al.  Active control of sound power using acoustic basis functions as surface velocity filters , 1993 .

[42]  G. Borgiotti,et al.  Frequency independence property of radiation spatial filters , 1994 .

[43]  K. Cunefare,et al.  On the exterior acoustic radiation modes of structures , 1994 .

[44]  S. Sommerfeldt,et al.  An adaptive filtered‐x algorithm for energy‐based active control , 1994 .

[45]  K. Cunefare,et al.  The radiation modes of baffled finite plates , 1994 .

[46]  J. Tani,et al.  Vibration control of a cylindrical shell used in MRI equipment , 1995 .

[47]  J. Ginsberg,et al.  Complex power, reciprocity, and radiation modes for submerged bodies , 1995 .

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

[49]  Colin H. Hansen,et al.  Active control of vibration , 1996 .

[50]  Colin H. Hansen,et al.  ACTIVE CONTROL OF VIBRATION TRANSMISSION IN A CYLINDRICAL SHELL , 1997 .

[51]  S. Elliott,et al.  Active Control of Sound Radiation from Vibrating Surfaces Using Arrays of Discrete Actuators , 1997 .

[52]  B. Cazzolato,et al.  Active control of sound transmission using structural error sensing , 1998 .

[53]  R. Vaicaitis,et al.  Active control of vibrations and noise of double wall cylindrical shells , 1998 .

[54]  C. Hansen,et al.  Active vibration control of waves in simple structures with multiple error sensors , 1998 .

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

[56]  C. Hansen Understanding Active Noise Cancellation , 1999 .

[57]  Chris R. Fuller,et al.  A PRINCIPAL COMPONENT ALGORITHM FOR FEEDFORWARD ACTIVE NOISE AND VIBRATION CONTROL , 1999 .

[58]  Scott D Snyder Active Noise Control Primer , 2000 .

[59]  Stephen J. Elliott,et al.  Signal Processing for Active Control , 2000 .

[60]  Alain Berry,et al.  COMPARISON OF SEVERAL STRATEGIES IN THE ACTIVE STRUCTURAL ACOUSTIC CONTROL USING STRUCTURAL STRAIN MEASUREMENTS , 2000 .

[61]  O. R. Lin,et al.  CYLINDRICAL PANEL INTERIOR NOISE CONTROL USING A PAIR OF PIEZOELECTRIC ACTUATOR AND SENSOR , 2001 .

[62]  Kyungyeol Song,et al.  Active control of radiated noise from a cylindrical shell using external piezoelectric panels , 2002 .

[63]  Stephen J. Elliott,et al.  VOLUME VELOCITY ESTIMATION WITH ACCELEROMETER ARRAYS FOR ACTIVE STRUCTURAL ACOUSTIC CONTROL , 2002 .

[64]  B. G. Korenev Bessel Functions and Their Applications , 2002 .

[65]  A. ADoefaa,et al.  ? ? ? ? f ? ? ? ? ? , 2003 .

[66]  M. Païdoussis,et al.  Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction , 2003 .

[67]  M N Sahinkaya Active Sound and Vibration Control , 2004 .

[68]  James P. Carneal,et al.  An analytical and experimental investigation of active structural acoustic control of noise transmission through double panel systems , 2004 .

[69]  Joshua T. Lee Active structural acoustics control of beams using active constrained layer damping through loss factor maximization , 2005 .

[70]  Seung-bok Choi Active structural acoustic control of a smart plate featuring piezoelectric actuators , 2006 .

[71]  Li Xuebin,et al.  Study on free vibration analysis of circular cylindrical shells using wave propagation , 2008 .

[72]  Peter Nelson,et al.  Sound , 2009, Encyclopedia of Biometrics.

[73]  Jeffery M. Fisher Development of a Pseudo-uniform Structural Velocity Metric for Use in Active Structural Acoustic Control , 2010 .

[74]  S. Sommerfeldt,et al.  A COMPARISON OF CONTROL STRATEGIES FOR MINIMIZING THE SOUND FIELD IN ENCLOSURES , 2012 .

[75]  Seung-Bok Choi,et al.  Active vibration control of a cylindrical structure using flexible piezoactuators: experimental work in air and water environments , 2014 .

[76]  A. Manela,et al.  Active noise control of a vibrating surface: Continuum and non-continuum investigations on vibroacoustic sound reduction by a secondary heat-flux source , 2015 .

[77]  J. Junker Matrices And Linear Algebra , 2016 .