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Shock and Vibration
Volume 15, Issue 1, Pages 33-50

Energy Flow Boundary Element Method for Vibration Analysis of One and Two Dimension Structures

Ho-Won Lee, Suk-Yoon Hong, Do-Hyun Park, and Hyun-Wung Kwon

Department of Naval Architecture and Ocean Engineering, Seoul National University, San 56-1 Shilim-dong, Seoul 151-742, Korea

Received 8 April 2005; Revised 10 October 2006

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, Energy Flow Boundary Element Method (EFBEM) was developed to predict the vibration behavior of one- and two-dimensional structures in the medium-to-high frequency ranges. Free Space Green functions used in the method were obtained from EFA energy equations. Direct and indirect EFBEMs were formulated for both one- and two-dimensional cases, and numerically applied to predict the energy density and intensity distributions of simple Euler-Bernoulli beams, single rectangular thin plates, and L-shaped thin plates vibrating in the medium-to-high frequency ranges. The results from these methods were compared with the EFA solutions to verify the EFBEM.