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Updated: May 22, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Impedance of infinite Kirchhoff and Mindlin plates with a rigid circular massless plug
Jeffrey A Zapfe1, James A Moore
1Acentech Incorporated, Noise and Vibration Group, 33 Moulton Street, Cambridge, Massachusetts 02138-1118, USA. jzapfe@acentech.com
Abstract:
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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