H ∞ Control of Active Constrained Layer Damping

Conventional passive constrained layer damping treatments with viscoelastic cores are provided with built-in sensing and actuation capabilities to actively control and enhance their vibration damping charac teristics. Two configurations of the resulting hybrid treatment are considered in this paper. In the first configuration, the active control and passive operate separately, whereas in the second configuration, the two operate in unison to maximize the energy dissipation characteristics. In this study, three objectives are accomplished. The first objective aims at the design and implementation of robust H ∞) controllers for the separated and unified control strategies. In the second, the performance of the H∞ controllers at different operating frequencies and temperatures is compared with that of a conventional proportional/derivative controller to demonstrate robustness. Finally, a control effort study involving the H ∞ controllers for the separated and unified control strategies is shown to assess the efficiency of the active control scheme in controlling structural vibration. The results obtained emphasize the potential of the optimally design unified control strategy as an effective means for providing broad-band attenuation capabilities over a wide range of operating temperatures.

[1]  Daniel J. Inman,et al.  Finite element model for active constrained-layer damping , 1994, Smart Structures.

[2]  Maciejowsk Multivariable Feedback Design , 1989 .

[3]  D. J. Mead,et al.  The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions , 1969 .

[4]  A. G. Butkovskiĭ,et al.  Distributed control systems , 1969 .

[5]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[6]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[7]  K. W. Wang,et al.  On the active-passive hybrid vibration control actions of structures with active constrained layer treatments , 1995 .

[8]  L. Meirovitch Analytical Methods in Vibrations , 1967 .

[9]  B. E. Douglas,et al.  Transverse Compressional Damping in the Vibratory Response of Elastic-Viscoelastic-Elastic Beams. , 1978 .

[10]  J. Ro,et al.  Optimum Design and Control of Active Constrained Layer Damping , 1995 .

[11]  Thomas E. Alberts,et al.  On the transfer function modeling of flexible structures with distributed damping , 1986 .

[12]  P. Trompette,et al.  THE EFFECT OF BOUNDARY CONDITIONS ON THE VIBRATION OF A VISCOELASTICALLY DAMPED CANTILEVER BEAM , 1978 .

[13]  Amr M. Baz,et al.  Boundary Control of Beams Using Active Constrained Layer Damping , 1997 .

[14]  Amr M. Baz Robust control of active constrained layer damping , 1998 .

[15]  M. Safonov,et al.  A Schur Method for Balanced Model Reduction , 1988, 1988 American Control Conference.

[16]  Amr M. Baz,et al.  Performance characteristics of active constrained layer damping versus passive constrained layer damping with active control , 1996, Smart Structures.

[17]  Ben Azvine,et al.  Initial studies into the use of active constrained-layer damping for controlling resonant vibration , 1994, Smart Structures.

[18]  J. Juang Applied system identification , 1994 .

[19]  I. Y. Shen,et al.  Hybrid Damping Through Intelligent Constrained Layer Treatments , 1994 .

[20]  A. Baz,et al.  Optimum Design and Control of Active Constrained Layer Damping , 1995 .

[21]  Kevin Napolitano,et al.  Active constrained layer viscoelastic damping , 1993 .

[22]  D. K. Rao Static Response of Stiff-Cored Unsymmetric Sandwich Beams , 1976 .

[23]  M. Dahleh,et al.  Control of Uncertain Systems: A Linear Programming Approach , 1995 .

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

[25]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[26]  Chaouki T. Abdallah,et al.  Linear Quadratic Control: An Introduction , 2000 .

[27]  Daniel J. Inman,et al.  Robust identification and vibration suppression of a flexible structure , 1994 .