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Journal of the Acoustical Society of America

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May 2012

Volume 131, Issue 5, pp. EL355-4232

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Impedance of infinite Kirchhoff and Mindlin plates with a rigid circular massless plug

Jeffrey A. Zapfe and James A. Moore

J. Acoust. Soc. Am. Volume 131, Issue 5, pp. 3824-3832 (2012); (9 pages)

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Point force impedance expressions have been previously developed for infinite Kirchhoff and Mindlin plates. The present work develops impedance expressions for the more general case of an infinite plate with a circular, massless, rigid plug using both Kirchhoff and Mindlin plate theories. The models have been developed to analyze vibration propagation in buildings. The plate with the rigid plug provides a more reasonable model of the kinematic constraint at the column/floor interface. The models are used to investigate the potential benefits of using thick floors to block the transmission of structure-borne vibration in buildings.
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43.40.Dx Vibrations of membranes and plates
43.40.At Experimental and theoretical studies of vibrating systems

Development of a pseudo-uniform structural quantity for use in active structural acoustic control of simply supported plates: An analytical comparison

Jeffery M. Fisher, Jonathan D. Blotter, Scott D. Sommerfeldt, and Kent L. Gee

J. Acoust. Soc. Am. Volume 131, Issue 5, pp. 3833-3840 (2012); (8 pages)

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Active structural acoustic control has been an area of research and development for over two decades with an interest in searching for an “optimal” error quantity. Current error quantities typically require the use of either a large number of transducers distributed across the entire structure, or a distributed shaped sensor, such as polyvinylidene difluoride. The purpose of this paper is to investigate a control objective function for flat, simply-supported plates that is based on transverse and angular velocity components combined into a single composite structural velocity quantity, termed Vcomp. Although multiple transducers are used, they are concentrated at a single location to eliminate the need for transducers spanning most or all of the structure. When used as the objective function in an active control situation, squared Vcomp attenuates the acoustic radiation over a large range of frequencies. The control of squared Vcomp is compared to other objective functions including squared velocity, volume velocity, and acoustic energy density. The analysis presented indicates that benefits of this objective function include control of radiation from numerous structural modes, control largely independent of sensor location, and need to measure Vcomp at a single location and not distributed measurements across the entire structure.
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43.40.Yq Instrumentation and techniques for tests and measurement relating to shock and vibration, including vibration pickups, indicators, and generators, mechanical impedance
43.50.Ki Active noise control
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