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TECHNICAL PAPERS

Acoustic Modeling and Control of Conical Enclosures

[+] Author and Article Information
Kevin M. Farinholt, Donald J. Leo

Center for Intelligent Material Systems and Structures, Mechanical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Vib. Acoust 125(1), 2-11 (Jan 06, 2003) (10 pages) doi:10.1115/1.1521953 History: Received February 01, 2002; Revised June 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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References

Glaese,  R. M., and Anderson,  E. H., 1999, “Active Structural-Acoustic Control for Composite Payload Fairings,” SPIE Proceedings,3668(43), pp. 450–461.
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Griffin,  S., Lane,  S. A., Hansen,  C., and Cazzolato,  B., 2001, “Active Structural-Acoustic Control of a Rocket Fairing Using Proof-Mass Actuators,” J. Spacecr. Rockets, 38(2), pp. 219–225.
Lane,  S. A., Kemp,  J. D., Griffin,  S., and Clark,  R. L., 2001, “Acoustic Control of a Rocket Fairing Using Spatially Weighted Transducer Arrays,” J. Spacecr. Rockets, 38(1), pp. 112–119.
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Figures

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Various shroud geometries: (a) grid stiffened USAF launch vehicle payload fairing (b) Titan IV payload fairing by Lockheed Martin
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Schematic of a conical bore having reactive-rigid boundary conditions
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Pole/zero shifts as a function of length to r1 ratio. ○→system zeros, ×→system poles, lightlines indicate zeros of equivalent cylinder, heavylines indicate poles of equivalent cylinder.
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Acoustic impedance of cone (solid) and cylinder (dashed) for various l/r1 ratios (a) Nearly identical impedances for conic and cylindrical sections, l/r1=0.001 (b) Impedance representative of experimental teststand, l/r1=2.84 and (c) Impedance with near pole-zero cancellation, l/r1=100.
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Actuator components, electrical model (a), mechanical model (b)
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Standing waves for an actuator-rigid set of boundary conditions with pressure slopes indicated
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Experimental setup for conical bore validation and control
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Open-loop comparison of experimentally obtained frequency response with that predicted by the impedance based model
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Impulse response with and without PPF control
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Open-loop (lightly weighted) versus closed-loop (heavily weighted) performance of a conical shroud for a collocated sensor (a) and a noncollocated sensor (b). This frequency response relates output pressure to disturbance signal.

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