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Journal of the Acoustical Society of America / Volume 131 / Issue 5 / STRUCTURAL ACOUSTICS AND VIBRATION [40]

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

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

Jeffrey A. Zapfe and James A. Moore

Acentech Incorporated, Noise and Vibration Group, 33 Moulton Street, Cambridge, Massachusetts 02138-1118

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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.

© 2012 Acoustical Society of America

ACKNOWLEDGMENTS

This work developed from collaboration between the authors and Professor Masoud Sanayei and his students, in particular, Ningyu Zhao, from the Civil Engineering Department at Tufts University, Medford, MA, who are involved in research related to using blocking floors to reduce vibration transmission in buildings.

Article Outline

  1. INTRODUCTION
    1. Basis for the research
    2. Modeling implications
  2. ANALYTICAL DEVELOPMENT
    1. Equilibrium relations
    2. Kirchhoff plate
      1. Boundary conditions
      2. Impedance
    3. Mindlin plate
      1. Boundary conditions
      2. Impedance
      3. Thin plate, small radius behavior
  3. COMPARISON OF PLATE MODELS
    1. Mobility comparisons for plate
  4. POTENTIAL BENEFIT OF A THICK FLOOR TO BLOCK VIBRATION
    1. Floor and column impedances for typical building constructions
    2. Transmission loss predictions
    3. Power flows at the column-floor junction
  5. CONCLUSIONS

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KEYWORDS, PACS, and IPC

Keywords

acoustic impedance, acoustic wave propagation, acoustic wave transmission, architectural acoustics, floors, plates (structures), vibrations

PACS

  • 43.40.Dx

    Vibrations of membranes and plates

  • 43.40.At

    Experimental and theoretical studies of vibrating systems

International Patent Classification (IPC)

  • E04B1/99

    Room acoustics, i.e. forms of, or arrangements in, rooms for influencing or directing sound

  • E04B5/00

    Floors; Floor construction with regard to insulation; Connections specially adapted therefor

ARTICLE DATA

History
Received 10 Jun 2011
Accepted 19 Mar 2012
Revised 02 Dec 2011
Digital Object Identifier
http://dx.doi.org/10.1121/1.3701875

PUBLICATION DATA

ISSN

0001-4966 (print)  

Publisher

$abstract.society.value is a Member of CrossRef Acoustical Society of America

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