Optimal Placement of a Proof Mass Actuator for Active Structural Acoustic Control∗

References

• C. Fuller , Active control of sound transmission/radiation from elastic plates by vibration inputs I. analysis . Journal of Sound and Vibration 136 ( 1 ) 1 – 15 ( 1990 ).
   Web of Science ®Google Scholar
• J. Pan , S. Snyder , et al. ., Active control of far-field sound radiated by a rectangular panel-a general analysis , Journal of the Acoustical Society of America 91 ( 91 ) 2056 – 2066 ( 1992 ).
   Google Scholar
• B. T. Wang , Chris R. Fuller ,Emilios K. Dimilriadis , Active control of structurally radiated noise using multiple piezoelectric aclualors , AIAA Journal 29 ( 11 ) 1802 – 1809 ( 1991 ).
   Web of Science ®Google Scholar
• C. Fuller , C. Rogers , and H. Robertshaw , Control of sound radiation with active/adaptive structures , Journal of Sound and Vibration 157 ( 157 ) 19 – 39 ( 1992 ).
   Google Scholar
• B. T. Wang , C. R. Fuller , and E. K. Dimitriadis , Active control of noise transmission through rectangular plates using multiple piezoelectric or point force actuators . Journal of the Acoustical Society of America 90 ( 90 ) 282O – 2830 ( 1991 ).
   Google Scholar
• R. Clark , C. Fuller , Optimal placement of piezoelectric actuators and polyvinylidene flour-ide error sensors in active structural acoustic control approaches , Journal of the Acoustical Society of America 92 ( 92 ) 1521 – 1533 ( 1992 ).
   Google Scholar
• B. T. Wang , R. Burdisso , and C. Fuller , Optimal placement of piezoelectric actuators for active structural acoustic control , Journal of Intelligent Material Systems and Structures 5 67 – 77 ( 1994 ).
   Google Scholar
• B. T. Wang , Optimal placement of piezoelectric transducers for active sound radiation control of baffled simply-supported beam , Journal of the Chinese Society of Mechanical Engineers 16 ( 6.4 ) 383 – 393 ( 1995 ).
   Google Scholar
• B. T. Wang , Optimal placement of microphones and piezoelectric transducer actuators for far-field sound radiation control . Journal of the Acoustical Society of America 99 ( 99 ) 2975 – 2984 ( 1996 ).
   Google Scholar
• V. Varadan , J. Kim. and V. Varadan , Optimal placement of piezoelectric actuators for active noise control , AIAA Journal 35 ( 3 ) 526 – 533 ( 1997 ).
   Web of Science ®Google Scholar
• E. Garcia , Inertial Decoupling in the Application of Actuators to Flexible Structures , Proc, ADPA/AIAA/ASME/SPIE Conference on Active Materials and Adaptive Structures , Alexan-dria , Virginia , 1991 .
   Google Scholar
• Ephrahim Garcia Captain S. Webb ,Major J. Duke , Passive and active control of a com-plex flexible structure using reaction mass actuators , Journal of Vibration and Acoustics 117 116 – 122 ( 1995 ).
   Google Scholar
• D. C. Zimmerman , G. C. Horner , and D. J. Inman , Microprocessor controlled force actuator , Journal of Guidance. Control, and Dynamics 11 ( 3 ) 230 – 236 ( 1987 ).
   Google Scholar
• D. C. Zimmerman and D. J. Inman , On the nature of the interaction between structures and proof-mass actuators , Journal of Guidance, Control, and Dynamics 13 ( 1 ) 82 – 88 ( 1989 ).
   Web of Science ®Google Scholar
• W. L. Hallauer and S. E. Lamberson , Experimental active vibration damping of a plane truss using hybrid actuation , in Proc. 30th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dy-namics and Materials Conference , 1989 .
   Google Scholar
• A. Preumont and N. Loix , Active damping of a stiff beam-like structure with acceleration feedback , Experimental Mechanics 34 ( 1 ) 23 – 26 ( 1994 ).
   Web of Science ®Google Scholar
• W. Gawronski and K. B. Lim , Controllability and observability of flexible structures with proof-mass actuators . Journal of Guidance, Control, and Dynamics 16 ( 16 ) 899 – 802 ( 1993 ).
   Google Scholar
• V. Klema and A. Laub , The singular value decomposition its computation and some applica-tions , IEEE Transactions on Automatic Control AC-25 ( 25 ) 164 – 176 ( 1980 ).
   Google Scholar
• A. Hac and L. Liu , Sensor and actuator location in motion control of flexible structures , Journal of Sound and Vibration 167 ( 167 ) 239 – 26l ( 1993 ).
   Google Scholar
• A. Arbel , Controllability measuresactuator placement in oscillatory systems , International Journal of Control 33 ( 33 ) 565 – 574 ( 1981 ).
   Google Scholar
• K. Lim , Method for optimal actuator placement for large flexible structures . Journal of Guid-ance, Control, and Dynamics 15 ( 1 ) 49 – 57 ( 1992 ).
   Web of Science ®Google Scholar
• A. Sage and C. White , Optimum Systems Control , Prentice Hall, Inc. , Englewood Cliffs , New Jersey , 1977 .
   Google Scholar
• F. Fahy , Sound and Structural Vibration , Academic Press , San Diego , CA , 1985 .
   Google Scholar
• A. Pierce , Acoustics An Introduction to Its Physical Principles and Applications , Acoustical Society of America , Woodbury , New York , 1994 .
   Google Scholar
• R. E. Kalman , Y. C. Ho , and K. S. Narendra , Contributions to Differential Equations , John Wiley and Sons, Inc. , New York , NY , 1961 .
   Google Scholar
• G. W. Fan , H. D. Nelson , et al. ., LQR-Based least-squares output feedback control of rotor vibrations using the complex mode and balanced realization methods , Journal of Engineering for Gas Turbines and Power 115 314 – 323 ( 1993 ).
   Google Scholar
• ∗Communicated by E. J. Haug
   Google Scholar